From 5f14f639a867c71d765effa5f91b37fc9edc0b8c Mon Sep 17 00:00:00 2001 From: arnaucube Date: Sat, 14 Dec 2024 20:39:35 +0100 Subject: [PATCH] updated FRI notes, with STIR main idea --- README.md | 2 +- notes_fri.pdf | Bin 227363 -> 0 bytes notes_fri_stir.pdf | Bin 0 -> 239195 bytes notes_fri.tex => notes_fri_stir.tex | 28 +++++++++++++++++++++++++++- paper-notes.bib | 14 ++++++++++++++ 5 files changed, 42 insertions(+), 2 deletions(-) delete mode 100644 notes_fri.pdf create mode 100644 notes_fri_stir.pdf rename notes_fri.tex => notes_fri_stir.tex (90%) diff --git a/README.md b/README.md index 7d74049..d70df69 100644 --- a/README.md +++ b/README.md @@ -11,7 +11,7 @@ Notes, code and documents done while reading books and papers. - [Notes on Weil pairing](weil-pairing.pdf) - [Notes on Sigma protocol and OR proofs](sigma-or-notes.pdf) - [Notes on Reed-Solomon codes](notes_reed-solomon.pdf) -- [Notes on FRI](notes_fri.pdf) +- [Notes on FRI and STIR](notes_fri_stir.pdf) - [Notes on Spartan](notes_spartan.pdf) - [Notes on Nova](notes_nova.pdf) - [Notes on HyperNova](notes_hypernova.pdf) diff --git a/notes_fri.pdf b/notes_fri.pdf deleted file mode 100644 index b49be1bb23159e3d197cfcbe578eb2c9f2f4f780..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 227363 zcma&NL$ENwlC8UK+qP}nwr$(CZQHi({cqd0?R)yh9lVI{h}SvFs8J0nBfpioic~>F zjFyp(6^e9zd2}6$g`I$bz~0CTiiZb^UdGhU+{J=`k(G^!;Qs~`y_ltqi>VUZjIvAu~Y6dxayvx}3dp)Hih=8A^2^A;OI-&2eJfN`13&wcP`tk#bWRk zFs&dOIa1~00?F@-E&_q5ro*Axwwx0pg@b!zJUl)c$)v1MlDhna`Pd!0{OQ>Y3CnPd zR3gnPWHJ_YDruC|46HO-^)b?qR%=^kX%2%*svnQPGh?^bHxK_ANg)b0rDnZcLjsj# z=Gdk}eeRm+E^YUf<`k1ju3C~(P-PLpcq78pbnYCB@N3uY<0ml<&`=D+?Xf&gem-=v zg-yz3ZW)wwX>y8mP3rTio*uhxF8$Wm^NR?7X^P=2CXYmog&R&QLdERfY=&6dv;UfF z>yx~Fw3FrZ*3@5jMb7e`DCV#JBK4mE|8=`(X1k~=Sahd!xS;CV=O10ZUbt>)hl!CPTdkI$I8v?zfMe1 zJ4Z?|&C}=J#iq@h_O{ku0P*Uo@46SFgkanDrnj#w`*u2#xXsvRDuaX7TWo&yO`tMs zet)XYdg}a2S7-kodg*%A>sN%K)!PCkg~+zKj&|kRUI_^n@oAo(hg68^+UhzT&%mBo 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c6ca852..0c52317 100644 --- a/notes_fri.tex +++ b/notes_fri_stir.tex @@ -25,7 +25,7 @@ {\endinnerlemma} -\title{Notes on FRI} +\title{Notes on FRI and STIR} \author{arnaucube} \date{February 2023} @@ -39,6 +39,8 @@ These notes are for self-consumption, are not complete, don't include all the steps neither all the proofs. An implementation of FRI can be found at\\ \href{https://github.com/arnaucube/fri-commitment}{https://github.com/arnaucube/fri-commitment} \cite{fri-impl}. + + Update(2024-03-22): notes on STIR \cite{cryptoeprint:2024/390} from explanations by \href{https://hecmas.github.io/}{Héctor Masip Ardevol} \cite{hectormasipardevol}. \end{abstract} \tableofcontents @@ -303,6 +305,30 @@ V has $f(z)$ and $g(z)$ openings, so can verify $$g(z) = (f(z)-f(r))\cdot (z-r)^{-1}$$ +\section{STIR (main idea)} +\emph{Update from 2024-03-22, notes from Héctor Masip Ardevol (\href{https://hecmas.github.io/}{https://hecmas.github.io}) explanations.} + +\vspace{0.3cm} +Let $p \in \mathbb{F}[x]^{