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<nav id="sidebar" class="sidebar" aria-label="Table of contents">
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<ol class="chapter"><li class="chapter-item expanded affix "><a href="intro.html">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">2.2.</strong> (Enc/Dec)ryption</div></li><li class="chapter-item expanded "><a href="protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/2pc/dual_execution.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/2pc/dual_execution_with_privacy_only_for_the_user.html"><strong aria-hidden="true">4.1.1.1.</strong> Dual Execution with privacy only for the User</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
<ol class="chapter"><li class="chapter-item expanded affix "><a href="intro.html">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><a href="protocol/notarization/encryption.html"><strong aria-hidden="true">2.2.</strong> Encryption</a></li><li class="chapter-item expanded "><a href="protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/2pc/deap.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution with Asymmetric Privacy</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
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@@ -76,7 +77,7 @@
<nav id="sidebar" class="sidebar" aria-label="Table of contents">
<div class="sidebar-scrollbox">
<ol class="chapter"><li class="chapter-item expanded affix "><a href="intro.html" class="active">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">2.2.</strong> (Enc/Dec)ryption</div></li><li class="chapter-item expanded "><a href="protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/2pc/dual_execution.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/2pc/dual_execution_with_privacy_only_for_the_user.html"><strong aria-hidden="true">4.1.1.1.</strong> Dual Execution with privacy only for the User</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
<ol class="chapter"><li class="chapter-item expanded affix "><a href="intro.html" class="active">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><a href="protocol/notarization/encryption.html"><strong aria-hidden="true">2.2.</strong> Encryption</a></li><li class="chapter-item expanded "><a href="protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/2pc/deap.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution with Asymmetric Privacy</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
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@@ -76,7 +77,7 @@
<nav id="sidebar" class="sidebar" aria-label="Table of contents">
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<ol class="chapter"><li class="chapter-item expanded affix "><a href="intro.html" class="active">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">2.2.</strong> (Enc/Dec)ryption</div></li><li class="chapter-item expanded "><a href="protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/2pc/dual_execution.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/2pc/dual_execution_with_privacy_only_for_the_user.html"><strong aria-hidden="true">4.1.1.1.</strong> Dual Execution with privacy only for the User</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
<ol class="chapter"><li class="chapter-item expanded affix "><a href="intro.html" class="active">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><a href="protocol/notarization/encryption.html"><strong aria-hidden="true">2.2.</strong> Encryption</a></li><li class="chapter-item expanded "><a href="protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="protocol/2pc/deap.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution with Asymmetric Privacy</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
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<p>To ensure malicious security of the Garbled Circuits 2PC, TLSNotary uses the <a href="https://securecomputation.org/docs/pragmaticmpc.pdf">Dual Execution protocol</a> (see Section 7.6).</p>
<p>DualEX inherently leaks n bits of private input with probability <span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.1901em;vertical-align:-0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8451em;"><span style="top:-2.655em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"><span class="mord mtight">2</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.5935em;"><span style="top:-2.786em;margin-right:0.0714em;"><span class="pstrut" style="height:2.5em;"></span><span class="sizing reset-size3 size1 mtight"><span class="mord mathnormal mtight">n</span></span></span></span></span></span></span></span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">1</span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span>. This is not a problem during the TLS handshake when the private inputs are symmetric keys or hash pre-images. Leaking n bits does not give the adversary any advantage, since with the same probability the adversary may have guessed those bits while brute-forcing the key or the pre-image.</p>
<p>However, the leakage becomes a problem when encrypting the request or decrypting the response, since leaking even 1 bit of the plaintext may be catastrophic for the User's privacy. To overcome this leakage, we use a variant of DualEx where privacy is guaranteed only for the User.</p>
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<ol class="chapter"><li class="chapter-item expanded affix "><a href="../../intro.html">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">2.2.</strong> (Enc/Dec)ryption</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/dual_execution.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/dual_execution_with_privacy_only_for_the_user.html"><strong aria-hidden="true">4.1.1.1.</strong> Dual Execution with privacy only for the User</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="../../protocol/2pc/ff-arithmetic.html" class="active"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
<ol class="chapter"><li class="chapter-item expanded affix "><a href="../../intro.html">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><a href="../../protocol/notarization/encryption.html"><strong aria-hidden="true">2.2.</strong> Encryption</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/deap.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution with Asymmetric Privacy</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="../../protocol/2pc/ff-arithmetic.html" class="active"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
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<ol class="chapter"><li class="chapter-item expanded affix "><a href="../../intro.html">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">2.2.</strong> (Enc/Dec)ryption</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/garbled_circuits.html" class="active"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/dual_execution.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/dual_execution_with_privacy_only_for_the_user.html"><strong aria-hidden="true">4.1.1.1.</strong> Dual Execution with privacy only for the User</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="../../protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
<ol class="chapter"><li class="chapter-item expanded affix "><a href="../../intro.html">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><a href="../../protocol/notarization/encryption.html"><strong aria-hidden="true">2.2.</strong> Encryption</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/garbled_circuits.html" class="active"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/deap.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution with Asymmetric Privacy</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="../../protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
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<ol class="chapter"><li class="chapter-item expanded affix "><a href="../../intro.html">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><a href="../../protocol/notarization/encryption.html"><strong aria-hidden="true">2.2.</strong> Encryption</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/deap.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution with Asymmetric Privacy</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/mac.html" class="active"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="../../protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
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<ol class="chapter"><li class="chapter-item expanded affix "><a href="../../intro.html">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">2.2.</strong> (Enc/Dec)ryption</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/commitment.html" class="active"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/dual_execution.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/dual_execution_with_privacy_only_for_the_user.html"><strong aria-hidden="true">4.1.1.1.</strong> Dual Execution with privacy only for the User</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="../../protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
<ol class="chapter"><li class="chapter-item expanded affix "><a href="../../intro.html">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><a href="../../protocol/notarization/encryption.html"><strong aria-hidden="true">2.2.</strong> Encryption</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/commitment.html" class="active"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/deap.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution with Asymmetric Privacy</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="../../protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
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@@ -145,7 +146,7 @@
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<a rel="next" href="../../protocol/notarization/public_data_commitment.html" class="mobile-nav-chapters next" title="Next chapter" aria-label="Next chapter" aria-keyshortcuts="Right">
@@ -157,7 +158,7 @@
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<a rel="prev" href="../../protocol/notarization/prf.html" class="nav-chapters previous" title="Previous chapter" aria-label="Previous chapter" aria-keyshortcuts="Left">
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<!-- Custom theme stylesheets -->
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<!-- Provide site root to javascript -->
@@ -76,7 +77,7 @@
<nav id="sidebar" class="sidebar" aria-label="Table of contents">
<div class="sidebar-scrollbox">
<ol class="chapter"><li class="chapter-item expanded affix "><a href="../../intro.html">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/index.html" class="active"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">2.2.</strong> (Enc/Dec)ryption</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/dual_execution.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/dual_execution_with_privacy_only_for_the_user.html"><strong aria-hidden="true">4.1.1.1.</strong> Dual Execution with privacy only for the User</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="../../protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
<ol class="chapter"><li class="chapter-item expanded affix "><a href="../../intro.html">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/index.html" class="active"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><a href="../../protocol/notarization/encryption.html"><strong aria-hidden="true">2.2.</strong> Encryption</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/deap.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution with Asymmetric Privacy</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="../../protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
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<!-- Custom theme stylesheets -->
<link rel="stylesheet" href="../../src/css/katex.css">
<link rel="stylesheet" href="../../src/css/global.css">
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<body>
<!-- Provide site root to javascript -->
@@ -76,7 +77,7 @@
<nav id="sidebar" class="sidebar" aria-label="Table of contents">
<div class="sidebar-scrollbox">
<ol class="chapter"><li class="chapter-item expanded affix "><a href="../../intro.html">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/key_exchange.html" class="active"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">2.2.</strong> (Enc/Dec)ryption</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/dual_execution.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/dual_execution_with_privacy_only_for_the_user.html"><strong aria-hidden="true">4.1.1.1.</strong> Dual Execution with privacy only for the User</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="../../protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
<ol class="chapter"><li class="chapter-item expanded affix "><a href="../../intro.html">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/key_exchange.html" class="active"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><a href="../../protocol/notarization/encryption.html"><strong aria-hidden="true">2.2.</strong> Encryption</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/deap.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution with Asymmetric Privacy</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="../../protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
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<!-- Custom theme stylesheets -->
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<link rel="stylesheet" href="../../src/css/global.css">
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<body>
<!-- Provide site root to javascript -->
@@ -76,7 +77,7 @@
<nav id="sidebar" class="sidebar" aria-label="Table of contents">
<div class="sidebar-scrollbox">
<ol class="chapter"><li class="chapter-item expanded affix "><a href="../../intro.html">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/prf.html" class="active"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">2.2.</strong> (Enc/Dec)ryption</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/dual_execution.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/dual_execution_with_privacy_only_for_the_user.html"><strong aria-hidden="true">4.1.1.1.</strong> Dual Execution with privacy only for the User</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="../../protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
<ol class="chapter"><li class="chapter-item expanded affix "><a href="../../intro.html">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/prf.html" class="active"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><a href="../../protocol/notarization/encryption.html"><strong aria-hidden="true">2.2.</strong> Encryption</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/public_data_commitment.html"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/deap.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution with Asymmetric Privacy</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="../../protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
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@@ -315,7 +316,7 @@ verify_data = p1[:12]
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@@ -327,7 +328,7 @@ verify_data = p1[:12]
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<ol class="chapter"><li class="chapter-item expanded affix "><a href="../../intro.html">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">2.2.</strong> (Enc/Dec)ryption</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/public_data_commitment.html" class="active"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/dual_execution.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/dual_execution_with_privacy_only_for_the_user.html"><strong aria-hidden="true">4.1.1.1.</strong> Dual Execution with privacy only for the User</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="../../protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
<ol class="chapter"><li class="chapter-item expanded affix "><a href="../../intro.html">Introduction</a></li><li class="chapter-item expanded affix "><li class="part-title">Protocol</li><li class="chapter-item expanded "><div><strong aria-hidden="true">1.</strong> Overview</div></li><li class="chapter-item expanded "><a href="../../protocol/notarization/index.html"><strong aria-hidden="true">2.</strong> Notarization</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">2.1.</strong> TLS Handshake</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/key_exchange.html"><strong aria-hidden="true">2.1.1.</strong> Key Exchange</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/prf.html"><strong aria-hidden="true">2.1.2.</strong> Symmetric key derivation</a></li></ol></li><li class="chapter-item expanded "><a href="../../protocol/notarization/encryption.html"><strong aria-hidden="true">2.2.</strong> Encryption</a></li><li class="chapter-item expanded "><a href="../../protocol/notarization/commitment.html"><strong aria-hidden="true">2.3.</strong> Commitment</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/notarization/public_data_commitment.html" class="active"><strong aria-hidden="true">2.3.1.</strong> Commitment to public data</a></li></ol></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">3.</strong> Selective Disclosure</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/garbled_circuits.html"><strong aria-hidden="true">4.</strong> Secure 2-Party Computation</a></li><li><ol class="section"><li class="chapter-item expanded "><div><strong aria-hidden="true">4.1.</strong> Garbled Circuits</div></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../protocol/2pc/deap.html"><strong aria-hidden="true">4.1.1.</strong> Dual Execution with Asymmetric Privacy</a></li></ol></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.2.</strong> Oblivious Transfer</div></li><li class="chapter-item expanded "><div><strong aria-hidden="true">4.3.</strong> Paillier</div></li><li class="chapter-item expanded "><a href="../../protocol/2pc/mac.html"><strong aria-hidden="true">4.4.</strong> MAC</a></li><li class="chapter-item expanded "><a href="../../protocol/2pc/ff-arithmetic.html"><strong aria-hidden="true">4.5.</strong> Finite-Field Arithmetic</a></li></ol></li></ol>
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