From 93d4303968e3f30026bb56b7b4abce2ab2e81024 Mon Sep 17 00:00:00 2001 From: Daira Hopwood Date: Mon, 1 Feb 2016 22:11:36 +0000 Subject: [PATCH 01/12] Proposed crypto_box encryption. Signed-off-by: Daira Hopwood --- protocol/protocol.pdf | Bin 274847 -> 288728 bytes protocol/protocol.tex | 139 ++++++++++++++++++++++++++++++++---------- protocol/zcash.bib | 7 +++ 3 files changed, 114 insertions(+), 32 deletions(-) diff --git a/protocol/protocol.pdf b/protocol/protocol.pdf index 10028323796e03d293bd7d3b1091c9a5249ac1c5..0158efff8c5d49b78a76b478117d31aa64209842 100644 GIT binary patch delta 163397 zcmZs?V{mU#)8-x9c5-5!*tTukwv&H!V%xTD+s27)+sT~!ey66U=6Uz0u3oEa_gzP3)&Y#bhI5AhI{Ig5lwTp_ehWGk38dVr5|B zObm#l1T5=lryjJ#`{nBAC#IG;(}uJmVSZeW-^uL{jT4OG&hoAK8Ax9uuXebISem`> z*rUS`L8Ejuv+!-F+M$5J3aI9vS5n8l9e$DKem==w|NNYEvI9QFFighXY!r&W*PcEBqYH;g z!fc(^7b>bosUwZB=#-sNhcT}YH<`BgxBYg@Zz9sC%i^?e{pb){2z(B@7Zf_h2)dyc zz%h!7%+>X^y2FFKMKQqKPdcMbMG$g;=iP#X^gSxAz;l2yJjs;*W#pMpU?voHX51}5 zB@Pv5#GOB>67u)+nEqz_^8-Fe`~f=i77xmidtS!8FLT`I>v%NxVI0H{Ownv0V_baI zmDlhO$diy-4LN_;+YK19sjXSn>!nB@pmRpUP>dybf*CriD<@&p{U-@`krXk zXR43k5FD;avqr_}NPX%ZfmDuRc0diq-7v?j&UP7ms_>V+(e`j-4`}$o)FOG%G54*U 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Also, $\CryptoBoxSealHash$ (the full hash, not the compression function) is used instead of $\mathsf{blake2b}$. -\subparagraph{Coin Commitments} +\subsubsection{Coin Commitments} The underlying $\Value$ and $\SpendAuthorityPublic$ are blinded with $\CoinAddressRand$ and $\CoinCommitRand$ using the collision-resistant hash function $\CRH$ in a @@ -415,7 +420,7 @@ \subsection{Coins} \end{aligned} \end{equation*} -\subparagraph{Serials} +\subsubsection{Serial numbers} A \serialNumber (denoted $\sn$) equals $\PRFsn{\SpendAuthorityPrivate}(\CoinAddressRand)$. A \coin is spent by proving diff --git a/protocol/zcash.bib b/protocol/zcash.bib index 9e682cbb8..2d02853ba 100644 --- a/protocol/zcash.bib +++ b/protocol/zcash.bib @@ -8,21 +8,26 @@ @inproceedings{ZerocashOakland } @misc{Base58Check, + key={Base58Check}, title={Base58{C}heck encoding}, howpublished={\url{https://en.bitcoin.it/wiki/Base58Check_encoding}}, - note={Accessed: 2016-01-26} + note={\mbox{Accessed: 2016-01-26}} } @inproceedings{Curve25519, author={Daniel Bernstein}, title={Curve25519: new {D}iffie-{H}ellman speed records}, - booktitle={Proceedings of PKC 2006}, - note={Document ID: 4230efdfa673480fc079449d90f322c0. Date: 2006-02-09. + booktitle={Public Key Cryptography - PKC 2006. Proceedings of the 9th International Conference on Theory and Practice in Public-Key Cryptography, New York, NY, USA, April 24-26}, + year={2006}, + publisher={Springer-Verlag}, + note={Document ID: 4230efdfa673480fc079449d90f322c0. \mbox{Date: 2006-02-09.} \url{http://cr.yp.to/papers.html#curve25519}} } @book{Unicode, author={The Unicode Consortium}, + publisher={The Unicode Consortium}, + year={2015}, title={The Unicode Standard}, note={\url{http://www.unicode.org/versions/latest/}} } @@ -31,13 +36,14 @@ @misc{cryptobox author={Daniel Bernstein}, title={Cryptography in {N}a{C}l}, howpublished={\url{https://nacl.cr.yp.to/valid.html}}, - note={Accessed: 2016-02-01} + note={\mbox{Accessed: 2016-02-01}} } @misc{cryptoboxseal, + key={libsodium}, title={libsodium documentation: Sealed boxes}, howpublished={\url{https://download.libsodium.org/doc/public-key_cryptography/sealed_boxes.html}}, - note={Accessed: 2016-02-01} + note={\mbox{Accessed: 2016-02-01}} } @misc{sha256, From c822d433d0914c4d980a07da98e75d343422f82e Mon Sep 17 00:00:00 2001 From: Daira Hopwood Date: Tue, 2 Feb 2016 23:11:21 +0000 Subject: [PATCH 06/12] Reorder definitions to avoid a forward reference. 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\end{bytefield} \end{lrbox} +Let $\TransmitPublicNew{1..\NNew}$ be the Curve25519 public keys for the intended +recipient addresses of each new \coin, and let $\Plaintext{1..\NNew}$ be their +\coinPlaintexts. + Define: \begin{itemize} @@ -345,10 +349,6 @@ \subsubsection{In-band secret distribution} \CryptoBoxSealHashbox{\noncebox}$. \end{itemize} -Let $\TransmitPublicNew{1..\NNew}$ be the Curve25519 public keys for the intended -recipient addresses of each new \coin, and let $\Plaintext{1..\NNew}$ be their -\coinPlaintexts. - Then to encrypt: \begin{itemize} From eafecf2ad95f8f8a160a62887f2f9c53a1f1f86c Mon Sep 17 00:00:00 2001 From: Daira Hopwood Date: Sun, 7 Feb 2016 11:38:10 +0000 Subject: [PATCH 07/12] Proposed fix to issue raised by Matthew Green about defence in depth. 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zX_SV~tSyY@fA9ep4E5FoPEND68{8l+v}vbQg^qbHwJ=MolSRtYI2}yxHi5)W6#XRc z{D3dze2m;PIcoB?w8zQ*o80qsyEtte7f!ORE1a(LLD1uco9eHcZS^9kI=kh)^-tyJ zR$|-ADf2A1h%U=2^KAvrs{Y&BN%$irn|X>k-H4}cf8F(jqHPwKz?xf$CPce!C=2W6 zaIAqUyeJO~uMjARKM^T#PZ?0KvE&O8Bi%i^dR%G|u#xj9{3Lk}v=(lxgR@HKcHbonQsYsu~XS^Key zG?S5LpMbO_x1485n_ruzleF*zq%FDIJ4@Q!!o+>ohBWCi(qboR{|_zSmx`nYW+5^* zGBsK$3NKA>WJFG%~kSupy`-T}>=h-74Z`np1-j(L< z$*@}P;s?FyE4(<$yGz`;u9=AMcUq>i?C;)bIZCb@`T}_`Z#dWgG3Q&j&-E0a^5QcO z%Fh;k_F%uRxP4OY5}t2w+Nb5HKi%*#bFYu!MLBB^mf2orw>-5HHt&sE?*3M7cS1e) z`z=elLJn~iOWjktn!>-+^V_7?De^lVvrg0ndGk%kexhLM^2)XW5-fj4%{_1`I8^N3 z0rjhr6|D|eS>;PtZT=7~9eVe}^8YKU9;~kmjr^)~A~mFzW8aw-zXbpIt~{qGGcTN1 zL8f}8RsRRiO}ANF&R-7^7yNf_mEOUtb-}T1)f?AHwMf^mm1?S Date: Sun, 7 Feb 2016 21:54:57 +0000 Subject: [PATCH 08/12] Cosmetics. Signed-off-by: Daira Hopwood --- protocol/protocol.tex | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/protocol/protocol.tex b/protocol/protocol.tex index 45d1eddf3..7152566b3 100644 --- a/protocol/protocol.tex +++ b/protocol/protocol.tex @@ -349,12 +349,11 @@ \subsubsection{In-band secret distribution} \end{bytefield} \end{lrbox} -Let $\TransmitPublicNew{1..\NNew}$ be the Curve25519 public keys for the intended +Let $\TransmitPublicNew{\mathrm{1}..\NNew}$ be the Curve25519 public keys for the intended recipient addresses of each new \coin, and let $\Plaintext{1..\NNew}$ be their \coinPlaintexts. Define: - \begin{equation*} \begin{aligned} \Prenonce(i, \EphemeralPublic, \TransmitPublicNew{i}) &:= \CryptoBoxSealHashbox{\prenoncebox} \\ From e30bd3e5553e1efad6a17d8f53cab45502467320 Mon Sep 17 00:00:00 2001 From: Daira Hopwood Date: Sun, 7 Feb 2016 21:55:20 +0000 Subject: [PATCH 09/12] Clarification of another difference from crypto_box_seal. 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A valid instance of $\PourProof$ assures that given a \term{primary input} -$(\rt, \snOld{1..\NOld}, \cmNew{1..\NNew}, \vpubOld, \vpubNew, \hSig, \h{1..\NOld})$, -a witness of \term{auxiliary input} -$(\treepath{1..\NOld}, \cOld{1..\NOld}, \SpendAuthorityPrivateOld{1..\NOld}, \cNew{1..\NNew})$ -exists, where: +$(\rt, \snOld{\mathrm{1}..\NOld}, \cmNew{\mathrm{1}..\NNew}, \vpubOld, \vpubNew, +\hSig, \h{\mathrm{1}..\NOld})$, a witness of \term{auxiliary input} +$(\treepath{1..\NOld}, \cOld{1..\NOld}, \SpendAuthorityPrivateOld{\mathrm{1}..\NOld}, +\cNew{1..\NNew})$ exists, where: \begin{list}{}{} From f36e7a3e064daccc37f47e6d47a576a1f2a02228 Mon Sep 17 00:00:00 2001 From: Daira Hopwood Date: Sun, 7 Feb 2016 22:37:36 +0000 Subject: [PATCH 11/12] Proposed fix for Faerie Gold attack -- WIP. Signed-off-by: Daira Hopwood --- protocol/protocol.pdf | Bin 438415 -> 439186 bytes protocol/protocol.tex | 90 ++++++++++++++++++++++++++++++------------ 2 files changed, 65 insertions(+), 25 deletions(-) diff --git a/protocol/protocol.pdf b/protocol/protocol.pdf index 931c6bb259ae23b897049702b8ac22f9c9903f47..20ecfe4dc9d34f36d22b2a2f14cf3d7944f7f76f 100644 GIT binary patch delta 117931 zcmV)KK)Sz=;Tn?X8jvIbIg=3!DSx$EOLN;e629kG=txyr7~(~c+1f)gGudQkE0s!o znj{BWge0zMQcF@voSGlM-DvP7!yYG-xtJsfHX0xL@pa4bYQKtC|9TSt$@Tf=lb>Gj zWW@~=T&vaPZYAQBNxe!^&7>5o%VPCD`hA;shxJCrB6`y{eY4((B-%C=4S&5mx@WsB zKg3*Z^S*5A^~cM9gJiSfoMl=Ilnj%Y5q!0gAX;b={m$k!h=K2)H)~;{&-lmE$RBty z(Jy(~<}~uMIr>Rygj&#F6BUaOF4w7ua-4WuHSO?aTjR);8%Fh3DQ6;1K&^~rlC*h& zU)rnol()Ae%Usa+BIXHgN`J*Gu9#Gb-xT1L0$>}J!JwDJ*Bj1-j$YMk$)mmnE#X?6 zwi7mruVCFoBq${YIVlrb&+#S*^=z8tOeGvGnrff3|bCCf3aIHq0OuEt1al;XLaM?yS-^n9Syy~S$~A`ja~D|z3&5B zb8VR9YFMG$;)e&&GysH@EK%7o^>^!#6VW|*D8rO7!|eCsBW?I|*&j&9u7Onuq~gDz 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z0DI!8WFOfJn_kdm5=3Y0ClPFRN_9n~5H>%mI&F239Du!fr;>kSatM~udx?ff2{}v# z$q{m!93^*1DLF>U$Z>Lul#>clNluU|QcY^eO;Srvk~&gP8ptVfnw%kxq=_`cKE73x zXMv(0O6P$8S3M8R>up3WK<1ZHEAV+)DFuA{qI3aXZ}y|K!OIjVwZr!sl`g_hWq0X- zKR2w@34gs-sS8=b#CxS~1Yft6dJz1bR=R|6D4}#2;pB!=FT$tgN>>m*8&tZA@aHF` zYj9N!O4s3@mnrqZz1&plhnvZEdIRoN_Spfrr7e9+{&nemxWz4lTVAn$9mua&G Q9t$@%I5!F Date: Sun, 7 Feb 2016 22:44:09 +0000 Subject: [PATCH 12/12] Correct an error in the definition of PRF^rho. 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diff --git a/protocol/protocol.tex b/protocol/protocol.tex index bdd558d21..13559a7cb 100644 --- a/protocol/protocol.tex +++ b/protocol/protocol.tex @@ -128,7 +128,6 @@ \newcommand{\InternalHashK}{\mathsf{k}} \newcommand{\InternalHash}{\mathsf{InternalH}} \newcommand{\Leading}[1]{\mathtt{Leading}_{#1}} -\newcommand{\Trailing}[1]{\mathtt{Trailing}_{#1}} \newcommand{\ReplacementCharacter}{\textsf{U+FFFD}} % merkle tree @@ -273,9 +272,9 @@ \subsection{Cryptographic Functions} \begin{bytefield}[bitwidth=0.065em]{512} \bitbox{242}{256 bit $\CoinAddressPreRand$} & \bitbox{14}{1} & - \bitbox{14}{0} & + \bitbox{14}{1} & \bitbox{14}{$i$} & - \bitbox{228}{$\Trailing{253}(\hSig)$} + \bitbox{228}{$\Leading{253}(\hSig)$} \end{bytefield} \end{lrbox}

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(This is related to a code naming issue #602 and we might want to update both at the same time.) \newcommand{\privateAddress}{\term{confidential private key}} -\newcommand{\transmittedPlaintext}{\term{transmitted coin plaintext}} -\newcommand{\transmittedCiphertext}{\term{transmitted coin ciphertext}} +\newcommand{\coinPlaintext}{\term{coin plaintext}} +\newcommand{\coinPlaintexts}{\term{coin plaintexts}} +\newcommand{\coinsCiphertext}{\term{transmitted coins ciphertext}} \newcommand{\transmitPublicAlgorithm}{\term{key-private encryption}} \newcommand{\transmitPrivateAlgorithm}{\term{key-private decryption}} \newcommand{\spendAuthority}{\term{spend authority}} @@ -63,6 +65,7 @@ \newcommand{\spentSerialsMap}{\term{spent serial numbers map}} \newcommand{\zkSNARK}{\term{zk-SNARK}} \newcommand{\zkSNARKs}{\term{zk-SNARKs}} +\newcommand{\memo}{\term{memo field}} % key pairs: \newcommand{\PublicAddress}{\mathsf{addr_{pk}}} @@ -76,7 +79,11 @@ \newcommand{\SpendAuthorityPublicNew}[1]{\mathsf{a^{new}_{pk,\mathnormal{#1}}}} \newcommand{\SpendAuthorityPrivateNew}[1]{\mathsf{a^{new}_{sk,\mathnormal{#1}}}} \newcommand{\TransmitPublic}{\mathsf{pk_{enc}}} +\newcommand{\TransmitPublicNew}[1]{\mathsf{pk_{enc,\mathnormal{#1}}}} \newcommand{\TransmitPrivate}{\mathsf{sk_{enc}}} +\newcommand{\TransmitPrivateNew}[1]{\mathsf{sk_{enc,\mathnormal{#1}}}} +\newcommand{\EphemeralPublic}{\mathsf{pk_{eph}}} +\newcommand{\EphemeralPrivate}{\mathsf{sk_{eph}}} \newcommand{\Value}{\mathsf{v}} % Coins @@ -89,8 +96,20 @@ \newcommand{\CoinAddressRandNew}[1]{\mathsf{\uprho^{new}_\mathnormal{#1}}} \newcommand{\CoinCommitS}{\mathsf{s}} \newcommand{\TransmitPlaintextVersionByte}{\mathbf{0x00}} +\newcommand{\Memo}{\mathsf{memo}} +\newcommand{\CryptoBox}{\mathsf{crypto\_box}} +\newcommand{\CryptoBoxOpen}{\mathsf{crypto\_box\_open}} +\newcommand{\CryptoBoxSeal}{\mathsf{crypto\_box\_seal}} +\newcommand{\CryptoBoxSpecific}{\mathsf{crypto\_box\_curve25519xsalsa20poly1305}} +\newcommand{\Plaintext}[1]{\mathbf{P}_{#1}} +\newcommand{\Ciphertext}[1]{\mathbf{C}_{#1}} +\newcommand{\Nonce}{\mathsf{nonce}} +\newcommand{\TransmitEncrypt}[1]{\mathsf{Encrypt}_{#1}} +\newcommand{\TransmitDecrypt}[1]{\mathsf{Decrypt}_{#1}} \newcommand{\CRH}{\mathsf{CRH}} \newcommand{\CRHbox}[1]{\CRH\left(\;\raisebox{-1.3ex}{\usebox{#1}}\;\right)} +\newcommand{\CryptoBoxSealHash}{\mathsf{blake2b}} +\newcommand{\CryptoBoxSealHashbox}[1]{\CryptoBoxSealHash\left(\;\raisebox{-1.3ex}{\usebox{#1}}\;\right)} \newcommand{\PRF}[2]{\mathsf{{PRF}^{#2}_\mathnormal{#1}}} \newcommand{\PRFaddr}[1]{\PRF{#1}{addr}} \newcommand{\PRFsn}[1]{\PRF{#1}{sn}} @@ -104,6 +123,7 @@ \newcommand{\InternalHash}{\mathsf{InternalH}} \newcommand{\Leading}[1]{\mathtt{Leading}_{#1}} \newcommand{\Trailing}[1]{\mathtt{Trailing}_{#1}} +\newcommand{\ReplacementCharacter}{\textsf{U+FFFD}} % merkle tree \newcommand{\MerkleDepth}{\mathsf{d}} @@ -122,7 +142,8 @@ \newcommand{\scriptPubKey}{\mathtt{scriptPubKey}} \newcommand{\serials}{\mathtt{serials}} \newcommand{\commitments}{\mathtt{commitments}} -\newcommand{\TransmitCiphertexts}{\mathtt{ciphertexts}} +\newcommand{\ephemeralKey}{\mathtt{ephemeralKey}} +\newcommand{\ciphertexts}{\mathtt{ciphertexts}} \newcommand{\rt}{\mathsf{rt}} % pour @@ -295,13 +316,63 @@ \subsection{Coins} \subparagraph{In-band secret distribution} -In order to transmit the secret $\Value$, $\CoinAddressRand$ and $\CoinCommitRand$ -to the recipient (necessary for the recipient to later spend) \emph{without} -requiring an out-of-band communication channel, the $\transmitPublicAlgorithm$ -public key $\TransmitPublic$ is used to encrypt these secrets to form a -\transmittedCiphertext. The recipient's possession of the associated -$(\PublicAddress, \PrivateAddress)$ (which contains both $\SpendAuthorityPublic$ and -$\TransmitPrivate$) is used to reconstruct the original \coin. +In order to transmit the secret $\Value$, $\CoinAddressRand$, and $\CoinCommitRand$ +(necessary for the recipient to later spend) and also a \memo to the recipient +\emph{without} requiring an out-of-band communication channel, the +$\transmitPublicAlgorithm$ public key $\TransmitPublic$ is used to encrypt these +secrets to form a \coinsCiphertext. The recipient's possession of the associated +$(\PublicAddress, \PrivateAddress)$ (which contains both $\SpendAuthorityPublic$ and +$\TransmitPrivate$) is used to reconstruct the original \coin and \memo. + +The encryption algorithm is defined in terms of $\CryptoBox$ (i.e. +$\CryptoBoxSpecific$) \cite{cryptobox} as follows. + +\newsavebox{\noncebox} +\begin{lrbox}{\noncebox} +\begin{bytefield}[bitwidth=0.05em]{520} + \bitbox{120}{1 byte $i-1$} & + \bitbox{256}{32 byte $\EphemeralPublic$} + \bitbox{256}{32 byte $\TransmitPublicNew{i}$} +\end{bytefield} +\end{lrbox} + +Define $\Nonce(i, \EphemeralPublic, \TransmitPublicNew{i}) = +\CryptoBoxSealHashbox{\noncebox}$. + +Let $\TransmitPublicNew{1..\NNew}$ be the Curve25519 public keys for the intended +recipient addresses of each new \coin, and let $\Plaintext{1..\NNew}$ be their +\coinPlaintexts. + +Then to encrypt: + +\begin{itemize} + \item Generate a new Curve25519 (public, private) key pair $(\EphemeralPublic, \EphemeralPrivate)$. + \item For $i$ in $\{1..\NNew\}$, let $\Ciphertext{i} = \CryptoBox(\Plaintext{i}, \TransmitPublicNew{i}, \EphemeralPrivate, +\Nonce(i, \EphemeralPublic, \TransmitPublicNew{i}))$. + \item Let $\TransmitEncrypt{\TransmitPublicNew{1..\NNew}}(\Plaintext{1..\NNew}) = +(\EphemeralPublic, \Ciphertext{1..\NNew})$. +\end{itemize} + +Let $(\TransmitPublic, \TransmitPrivate)$ be the recipient's Curve25519 +(public, private) key pair, and let $(\EphemeralPublic, \Ciphertext{1..\NNew})$ +be the \coinsCiphertext. + +Then for each $i$ in $\{1..\NNew\}$, the recipient will attempt to decrypt that +ciphertext component as follows: + +\begin{itemize} + \item $\TransmitDecrypt{\TransmitPrivate}(i, \EphemeralPublic, \Ciphertext{i}) = +\CryptoBoxOpen(\Ciphertext{i}, \EphemeralPublic, \TransmitPrivate, +\Nonce(i, \EphemeralPublic, \TransmitPublic))$ +\end{itemize} + +Any ciphertext components that fail to decrypt with a given recipient's private key +will be ignored. + +(This is a variation on the $\CryptoBoxSeal$ algorithm defined in libsodium +\cite{cryptoboxseal}, but with a single ephemeral key used for all encryptions in a +given \PourDescription, and with the nonce for each ciphertext component depending +on the index $i$.) \subparagraph{Coin Commitments} @@ -467,8 +538,10 @@ \section{Pour Transfers and Descriptions} \item $\commitments$ which is a $\NNew$ size sequence of \coinCommitments $\cmNew{1..\NNew}$. -\item $\TransmitCiphertexts$ which is a $\NNew$ size sequence each element of which -is a \transmittedCiphertext. +\item $\ephemeralKey$ which is a Curve25519 public key $\EphemeralPublic$. + +\item $\ciphertexts$ which is a $\NNew$ size sequence of ciphertext components. +($\ephemeralKey$ and $\ciphertexts$ together form the \coinsCiphertext.) \item $\vmacs$ which is a $\NOld$ size sequence of message authentication tags $\h{1..\NOld}$ that bind $\hSig$ to each $\SpendAuthorityPrivate$ of the @@ -584,9 +657,8 @@ \subsection{Confidential Public Addresses} A \publicAddress consists of $\SpendAuthorityPublic$ and $\TransmitPublic$. $\SpendAuthorityPublic$ is a SHA-256 compression function output. -$\TransmitPublic$ is an encryption public key (currently ECIES, but this may -change to Curve25519/crypto\_box\_seal), which represents an equivalence class -of two points sharing an $x$ coordinate on an elliptic curve. +$\TransmitPublic$ is a Curve25519 public key, for use with the encryption +scheme defined in section ``In-band secret distribution". \subsubsection{Raw Encoding} @@ -604,14 +676,8 @@ \subsubsection{Raw Encoding} \item A byte, $\PublicAddressLeadByte$, indicating this version of the raw encoding of a \Zcash public address. \item 32 bytes specifying $\SpendAuthorityPublic$. - \item An encoding of $\TransmitPublic$: The byte $\mathbf{0x01}$, followed by 32 bytes - representing the $x$ coordinate of an elliptic curve point according to - the $\mathsf{FE2OSP}$ primitive specified in section 5.5.4 of IEEE Std 1363-2000. - [Non-normative note: Since the curve is over a prime field, this is just - the 32-byte big-endian representation of the $x$ coordinate. The - overall encoding matches the $\mathsf{EC2OSP{\mhyphen}X}$ primitive - specified in section 5.5.6.3 of IEEE Std 1363a-2004. It does not - matter which of the two points with the same $x$ coordinate is used.] + \item 32 bytes specifying $\TransmitPublic$, using the normal encoding + of a Curve25519 public key \cite{Curve25519}. \end{itemize} \daira{check that this lead byte is distinct from other Bitcoin stuff, @@ -619,14 +685,12 @@ \subsubsection{Raw Encoding} \nathan{what about the network version byte?} -\daira{add bibliographic references for the IEEE standards.} - \subsection{Confidential Address Secrets} A confidential address secret consists of $\SpendAuthorityPrivate$ and $\TransmitPrivate$. $\SpendAuthorityPrivate$ is a SHA-256 compression function -output. $\TransmitPrivate$ is an encryption private key (currently ECIES), which -is an integer. +output. $\TransmitPrivate$ is a Curve25519 private key, for use with the +encryption scheme defined in section ``In-band secret distribution". \subsubsection{Raw Encoding} @@ -644,7 +708,7 @@ \subsubsection{Raw Encoding} \item A byte $\PrivateAddressLeadByte$ indicating this version of the raw encoding of a \Zcash private key. \item 32 bytes specifying $\SpendAuthorityPrivate$. - \item 32 bytes specifying a big-endian encoding of $\TransmitPrivate$. + \item 32 bytes specifying $\TransmitPrivate$. \end{itemize} \daira{check that this lead byte is distinct from other Bitcoin stuff, @@ -657,10 +721,10 @@ \subsection{Coins} Transmitted coins are stored on the blockchain in encrypted form, together with a \coinCommitment $\cm$. -A \transmittedCiphertext is an ECIES encryption of a \transmittedPlaintext to a +A \coinsCiphertext is an encryption of a \coinPlaintext to a \transmitPublicAlgorithm key $\TransmitPublic$. -A \transmittedPlaintext consists of $(\Value, \CoinAddressRand, \CoinCommitRand)$, +A \coinPlaintext consists of $(\Value, \CoinAddressRand, \CoinCommitRand, \Memo)$, where: \begin{itemize} @@ -668,15 +732,24 @@ \subsection{Coins} \coin in \zatoshi (1 \ZEC = $10^8$ \zatoshi). \item $\CoinAddressRand$ is a 32-byte $\PRFsn{\SpendAuthorityPrivate}$ preimage. \item $\CoinCommitRand$ is a 48-byte \COMMtrapdoor. + \item $\Memo$ is a 64-byte \memo associated with this \coin. \end{itemize} +The usage of the $\memo$ is by agreement between the sender and recipient of the +\coin. It should be encoded as a UTF-8 human-readable string \cite{UTF8}, padded +with zero bytes. Wallet software is expected to strip any trailing zero bytes and +then display the resulting UTF-8 string to the recipient user, where applicable. +Incorrect UTF-8-encoded byte sequences should be displayed as replacement characters +(\ReplacementCharacter). This does not preclude uses of the \memo by automated +software, but specification of such usage is not in the scope of this document. + Note that the value $\CoinCommitS$ described as being part of a \coin in the \Zerocash paper is not encoded because the instantiation of $\COMM{\CoinCommitS}$ does not use it. \subsection{Raw Encoding} -The raw encoding of a \transmittedPlaintext consists of, in order: +The raw encoding of a \coinPlaintext consists of, in order: \begin{equation*} \begin{bytefield}[bitwidth=0.05em]{712} @@ -689,7 +762,7 @@ \subsection{Raw Encoding} \begin{itemize} \item A byte $\TransmitPlaintextVersionByte$ indicating this version of the raw -encoding of a \transmittedPlaintext. +encoding of a \coinPlaintext. \item 8 bytes specifying a big-endian encoding of $\Value$. \item 32 bytes specifying $\CoinAddressRand$. \item 48 bytes specifying $\CoinCommitRand$. @@ -707,6 +780,8 @@ \section{Transactions} \section{Differences from the Zerocash paper} \begin{itemize} + \item Instead of ECIES, we use an encryption scheme based on $\CryptoBox$, +defined in section ``In-band secret distribution". \item Faerie Gold fix (TBD). \item The paper defines a coin as a tuple $(\SpendAuthorityPublic, \Value, \CoinAddressRand, \CoinCommitRand, \CoinCommitS, \cm)$, whereas this specification diff --git a/protocol/zcash.bib b/protocol/zcash.bib index 71bb98ba4..f2e308eb9 100644 --- a/protocol/zcash.bib +++ b/protocol/zcash.bib @@ -13,3 +13,10 @@ @misc{Base58Check note={Accessed: 2016-01-26} } +@inproceedings{Curve25519, + author={Daniel Bernstein}, + title={Curve25519: new {D}iffie-{H}ellman speed records}, + booktitle={Proceedings of PKC 2006}, + note={Document ID: 4230efdfa673480fc079449d90f322c0. Date: 2006-02-09. +\url{http://cr.yp.to/papers.html#curve25519}} +} From 906975de12f5c23a80ef081e35adf30e51e2847c Mon Sep 17 00:00:00 2001 From: Daira Hopwood Date: Tue, 2 Feb 2016 03:05:08 +0000 Subject: [PATCH 02/12] More references. Signed-off-by: Daira Hopwood --- protocol/protocol.tex | 2 +- protocol/zcash.bib | 19 +++++++++++++++++++ 2 files changed, 20 insertions(+), 1 deletion(-) diff --git a/protocol/protocol.tex b/protocol/protocol.tex index 040e18192..1bd621767 100644 --- a/protocol/protocol.tex +++ b/protocol/protocol.tex @@ -736,7 +736,7 @@ \subsection{Coins} \end{itemize} The usage of the $\memo$ is by agreement between the sender and recipient of the -\coin. It should be encoded as a UTF-8 human-readable string \cite{UTF8}, padded +\coin. It should be encoded as a UTF-8 human-readable string \cite{Unicode}, padded with zero bytes. Wallet software is expected to strip any trailing zero bytes and then display the resulting UTF-8 string to the recipient user, where applicable. Incorrect UTF-8-encoded byte sequences should be displayed as replacement characters diff --git a/protocol/zcash.bib b/protocol/zcash.bib index f2e308eb9..c8ebcef95 100644 --- a/protocol/zcash.bib +++ b/protocol/zcash.bib @@ -20,3 +20,22 @@ @inproceedings{Curve25519 note={Document ID: 4230efdfa673480fc079449d90f322c0. Date: 2006-02-09. \url{http://cr.yp.to/papers.html#curve25519}} } + +@book{Unicode, + author={The Unicode Consortium}, + title={The Unicode Standard}, + note={\url{http://www.unicode.org/versions/latest/}} +} + +@misc{cryptobox, + author={Daniel Bernstein}, + title={Cryptography in {N}a{C}l}, + howpublished={\url{https://nacl.cr.yp.to/valid.html}}, + note={Accessed: 2016-02-01} +} + +@misc{cryptoboxseal, + title={libsodium documentation: Sealed boxes}, + howpublished={\url{https://download.libsodium.org/doc/public-key_cryptography/sealed_boxes.html}}, + note={Accessed: 2016-02-01} +} From 3d56cf291a4210a1bf4c750d5f7e63f62b592c88 Mon Sep 17 00:00:00 2001 From: Daira Hopwood Date: Tue, 2 Feb 2016 03:05:19 +0000 Subject: [PATCH 03/12] Memo field fixes. 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Signed-off-by: Daira Hopwood --- protocol/protocol.tex | 8 +++++--- protocol/zcash.bib | 9 +++++++++ 2 files changed, 14 insertions(+), 3 deletions(-) diff --git a/protocol/protocol.tex b/protocol/protocol.tex index da86c544b..7693907bd 100644 --- a/protocol/protocol.tex +++ b/protocol/protocol.tex @@ -108,7 +108,7 @@ \newcommand{\TransmitDecrypt}[1]{\mathsf{Decrypt}_{#1}} \newcommand{\CRH}{\mathsf{CRH}} \newcommand{\CRHbox}[1]{\CRH\left(\;\raisebox{-1.3ex}{\usebox{#1}}\;\right)} -\newcommand{\CryptoBoxSealHash}{\mathsf{blake2b}} +\newcommand{\CryptoBoxSealHash}{\mathtt{SHA256}} \newcommand{\CryptoBoxSealHashbox}[1]{\CryptoBoxSealHash\left(\;\raisebox{-1.3ex}{\usebox{#1}}\;\right)} \newcommand{\PRF}[2]{\mathsf{{PRF}^{#2}_\mathnormal{#1}}} \newcommand{\PRFaddr}[1]{\PRF{#1}{addr}} @@ -216,6 +216,7 @@ \subsection{Cryptographic Functions} $\CRH$ is a collision-resistant hash function. In \Zcash, the $\SHAName$ function is used which takes a 512-bit block and produces a 256-bit hash. This is different from the $\SHAOrig$ function, which hashes arbitrary-length strings. +\cite{sha256} $\PRF{x}{}$ is a pseudo-random function seeded by $x$. Three \emph{independent} $\PRF{x}{}$ are needed in our scheme: $\PRFaddr{x}$, $\PRFsn{x}$, and $\PRFpk{x}$. @@ -369,10 +370,11 @@ \subsection{Coins} Any ciphertext components that fail to decrypt with a given recipient's private key will be ignored. -(This is a variation on the $\CryptoBoxSeal$ algorithm defined in libsodium +This is a variation on the $\CryptoBoxSeal$ algorithm defined in libsodium \cite{cryptoboxseal}, but with a single ephemeral key used for all encryptions in a given \PourDescription, and with the nonce for each ciphertext component depending -on the index $i$.) +on the index $i$. Also, $\CryptoBoxSealHash$ (the full hash, not the compression +function) is used instead of $\mathsf{blake2b}$. \subparagraph{Coin Commitments} diff --git a/protocol/zcash.bib b/protocol/zcash.bib index c8ebcef95..9e682cbb8 100644 --- a/protocol/zcash.bib +++ b/protocol/zcash.bib @@ -39,3 +39,12 @@ @misc{cryptoboxseal howpublished={\url{https://download.libsodium.org/doc/public-key_cryptography/sealed_boxes.html}}, note={Accessed: 2016-02-01} } + +@misc{sha256, + author={NIST}, + title={{FIPS} 180-4: Secure {H}ash {S}tandard ({SHS})}, + month={August}, + year={2015}, + note={DOI: 10.6028/NIST.FIPS.180-4}, + howpublished={\url{http://csrc.nist.gov/publications/PubsFIPS.html#180-4}} +} From c3646a4cd43f43b08de00c72bee0a6fed1a99a3f Mon Sep 17 00:00:00 2001 From: Daira Hopwood Date: Tue, 2 Feb 2016 15:04:18 +0000 Subject: [PATCH 05/12] Fix formatting and warnings. 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