From ccda1a41df70e9d07e56410f78d1d32c960e59be Mon Sep 17 00:00:00 2001 From: zero Date: Wed, 10 Apr 2024 09:45:14 +0200 Subject: [PATCH] doc/book: fix nullifier derivation N = H(x, C) --- doc/src/arch/anonymous_assets.md | 10 ++++++---- doc/src/arch/diagram-dkzk.png | Bin 115989 -> 125664 bytes doc/src/arch/services.md | 2 +- 3 files changed, 7 insertions(+), 5 deletions(-) diff --git a/doc/src/arch/anonymous_assets.md b/doc/src/arch/anonymous_assets.md index ba340b55a..4e89a375e 100644 --- a/doc/src/arch/anonymous_assets.md +++ b/doc/src/arch/anonymous_assets.md @@ -43,13 +43,11 @@ Reveal $C$ and $V$ commitments. Add $C$ to the Merkle tree. When we spend the coin, we must ensure that the value of the coin cannot be double spent. We call this the *Burn* phase. The process relies on a $N$ nullifier, which we create using the secret key $x$ -for the public key $P$ and the secret serial $\rho$. Nullifiers are unique per coin and prevent +for the public key $P$ and the coin itself $C$. Nullifiers are unique per coin and prevent double spending. $R$ is the Merkle root. $v$ is the coin's value. Generate a random number $r_V$. -$$ N = H(x, \rho) $$ - Check that the secret key corresponds to a public key: $$ P = xG $$ @@ -60,6 +58,10 @@ tree $R$: $$ C = H(P, v, \rho, r_C) $$ $$ C \in R $$ +Derive the nullifier: + +$$ N = H(x, C) $$ + Check that the value commitment is constructed correctly: $$ v > 0 $$ @@ -92,4 +94,4 @@ blinding factor for the amounts. ![](diagram-dkzk.png) -*Note: In the diagram $s$ correspond to the $\rho$* \ No newline at end of file +*Note: In the diagram $s$ correspond to the $\rho$* diff --git a/doc/src/arch/diagram-dkzk.png b/doc/src/arch/diagram-dkzk.png index ce3ed9be721a8e52ac62e353884a592196c3d94f..a0e362b7521059b27051860ca764a0c1d5f4ff5d 100644 GIT binary patch literal 125664 zcmeFZcTiL7)-WEsf>;3+L=X|_O?p=ZK}A3aO^QH5552db98u|lNCyQ3O(@bks3=v4 zfPi!qB+{jq1oC_K4(Hr+?|El_^Ui$VeE;0-gzW4*W%ae5wN`whdHXsY4HFFlfuK`U zy>YADzL1Ehw2-K@un?P&l(eXjwCH89|E?GR zf(Tk^c4;jfz!zkrq@<~)q{Qar;%I4Ok47N8lKr2`sn#o={bbs8nIk5byo6R51+bvrP_CnFKgxltQLw+ 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