rln-docs/searchindex.js

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PSE explores new use cases for zero-knowledge proofs and other cryptographic primitives. alt text RLN team is working on the protocol (having the same name), implementations and different applications of it.","breadcrumbs":"RLN » RLN","id":"0","title":"RLN"},"1":{"body":"This section is a starting point for understanding the concepts of RLN . Here we'll discuss: Basic explanation of the RLN protocol RLN protocol under the hood RLN uses","breadcrumbs":"Overview » Overview","id":"1","title":"Overview"},"10":{"body":"Term Description ZK-SNARK z.cash/technology/zksnarks/ Stake Financial or social stake required for registering in the RLN applications. Common stake examples are: locking cryptocurrency (financial), linking reputable social identity. Identity secret An array of two unique random components (identity nullifier and identity trapdoor), which must be kept private by the user. Secret hash and identity commitment are derived from this array. Identity nullifier Random 32 byte value used as component for identity secret generation. Identity trapdoor Random 32 byte value used as component for identity secret generation. Identity secret hash The hash of the identity secret, obtained using the Poseidon hash function. It is used for deriving the identity commitment of the user, and as a private input for zk proof generation. The secret hash should be kept private by the user. Identity commitment Hash obtained from the Identity secret hash by using the poseidon hash function. It is used by the users for registering in the protocol. Signal The message generated by a user. It is an arbitrary bit string that may represent a chat message, a URL request, protobuf message, etc. Signal hash Keccak hash of the signal, used as an input in the RLN circuit. RLN Identifier Random finite field value unique per RLN app. It is used for additional cross-application security. The role of the RLN identifier is protection of the user secrets being compromised if signals are being generated with the same credentials at different apps. RLN membership tree Merkle tree data structure, filled with identity commitments of the users. Serves as a data structure that ensures user registrations. Merkle proof Proof that a user is member of the RLN membership tree.","breadcrumbs":"Appendix » A - Terminology » Terminology","id":"10","title":"Terminology"},"11":{"body":"Idea was proposed by Barry WhiteHat RLN Overview RLN Spec VAC RLN Spec","breadcrumbs":"Appendix » B - References » References","id":"11","title":"References"},"2":{"body":"Idea was proposed by Barry WhiteHat RLN Overview RLN Spec VAC RLN Spec","breadcrumbs":"Overview » What is RLN » What is Rate-Limiting Nullifier?","id":"2","title":"What is Rate-Limiting Nullifier?"},"3":{"body":"flowchart TB subgraph Generate Secret Key random0(Random 32 bytes) --&gt; a_0(Secret Key) random1(Random 32 bytes) --&gt; a_0 end subgraph RLN subgraph Identity Commitment a_0 --&gt; h0(Poseidon Hash) h0 --&gt; q(Identity Commitment) end subgraph Calculate Internal Nullifier a_0 --&gt; h1(Poseidon Hash) epoch(Epoch) --&gt; h1 h1 --&gt; a_1 rln_identifier(RLN Identifier) --&gt; h2(Poseidon Hash) a_1 --&gt; h2 h2 --&gt; nullifier(RLN Internal Nullifier) end subgraph Merkle Tree q --&gt; merkle_tree_inclusion_proof(Merkle Tree Inclusion Proof) merkle_tree_inclusion_proof --&gt; root(ZKP of Merkle Tree Root) end subgraph Shamirs Secret Scheme a_0 --&gt; plus(+) a_1 --&gt; multiply(*) x(Hashed Messaage) --&gt; multiply multiply --&gt; plus plus --&gt; share_y end nullifier --&gt; proof(ZKP) root --&gt; proof share_y --&gt; proof end","breadcrumbs":"Overview » What is RLN » Circom Circuit for RLN","id":"3","title":"Circom Circuit for RLN"},"4":{"body":"","breadcrumbs":"Overview » Under the hood » Under the hood","id":"4","title":"Under the hood"},"5":{"body":"","breadcrumbs":"Overview » Uses » Uses","id":"5","title":"Uses"},"6":{"body":"This section provides information on how to use RLN in your project: JavaScript RLN (for rln-js ) Rust RLN (for zerokit-rln )","breadcrumbs":"How to use » How to use","id":"6","title":"How to use"},"7":{"body":"This section provides theoretical information that underpins RLN . Here we'll discuss: Shamir's Secret Sharing","breadcrumbs":"Theory » Theory","id":"7","title":"Theory"},"8":{"body":"Shamirs Secret Sharing allows to split the secret to n parts and restore it upon presentation any m parts (m <= n) Sharmir's Secret Sharing wikipedia is a good reference to understand the concept. Reconstruction 1: https://github.com/akinovak/semaphore-lib/blob/5b9bb3210192c8e508eced7ef6579fd56e635ed0/src/rln.ts#L31 retrievePrivateKey(x1: bigint, x2:bigint, y1:bigint, y2:bigint): Buffer | ArrayBuffer { const slope = Fq.div(Fq.sub(y2, y1), Fq.sub(x2, x1)) const privateKey = Fq.sub(y1, Fq.mul(slope, x1)); return bigintConversion.bigintToBuf(Fq.normalize(privateKey)); } Reconstruction 2: https://github.com/akinovak/semaphore-lib/blob/rln_signature_changes/test/index.ts#L250 async function testRlnSlashingSimulation() { RLN.setHasher('poseidon'); const identity = RLN.genIdentity(); const privateKey = identity.keypair.privKey; const leafIndex = 3; const idCommitments: Array<any> = []; for (let i=0; i<leafIndex;i++) { const tmpIdentity = OrdinarySemaphore.genIdentity(); const tmpCommitment: any = RLN.genIdentityCommitment(identity.keypair.privKey); idCommitments.push(tmpCommitment); } idCommitments.push(RLN.genIdentityCommitment(privateKey)) const signal = 'hey hey'; const x1: bigint = OrdinarySemaphore.genSignalHash(signal); const epoch: string = OrdinarySemaphore.genExternalNullifier('test-epoch'); const vkeyPath: string = path.join('./rln-zkeyFiles', 'verification_key.json'); const vKey = JSON.parse(fs.readFileSync(vkeyPath, 'utf-8')); const wasmFilePath: string = path.join('./rln-zkeyFiles', 'rln.wasm'); const finalZkeyPath: string = path.join('./rln-zkeyFiles', 'rln_final.zkey'); const witnessData: IWitnessData = await RLN.genProofFromIdentityCommitments(privateKey, epoch, signal, wasmFilePath, finalZkeyPath, idCommitments, 15, BigInt(0), 2); const a1 = RLN.calculateA1(privateKey, epoch); const y1 = RLN.calculateY(a1, privateKey, x1); const nullifier = RLN.genNullifier(a1); const pubSignals = [y1, witnessData.root, nullifier, x1, epoch]; let res = await RLN.verifyProof(vKey, { proof: witnessData.fullProof.proof, publicSignals: pubSignals }) if (res === true) { console.log(\"Verification OK\"); } else { console.log(\"Invalid proof\"); return; } const signalSpam = \"let's try spamming\"; const x2: bigint = OrdinarySemaphore.genSignalHash(signalSpam); const witnessDataSpam: IWitnessData = await RLN.genProofFromIdentityCommitments(privateKey, epoch, signalSpam, wasmFilePath, finalZkeyPath, idCommitments, 15, BigInt(0), 2); const a1Spam = RLN.calculateA1(privateKey, epoch); const y2 = RLN.calculateY(a1Spam, privateKey, x2); const nullifierSpam = RLN.genNullifier(a1Spam); const pubSignalsSpam = [y2, witnessDataSpam.root, nullifierSpam, x2, epoch]; res = await RLN.verifyProof(vKey, { proof: witnessDataSpam.fullProof.proof, publicSignals: pubSignalsSpam }) if (res === true) { console.log(\"Spam proof Verification OK\"); } else { console.log(\"Invalid proof\"); return; } const identitySecret = RLN.calculateIdentitySecret(privateKey); const retreivedPkey = bigintConversion.bufToBigint(RLN.retrievePrivateKey(x1, x2, y1, y2)); if(Fq.eq(identitySecret, retreivedPkey)) { console.log(\"PK successfully reconstructed\"); } else { console.log(\"Error while 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