From 14498bc37603a834d6d3c3995bcddb8bdf16590f Mon Sep 17 00:00:00 2001 From: DOSAYGO Development Team Date: Sun, 15 Dec 2024 20:05:35 +0800 Subject: [PATCH 1/3] Add crypto note and formal spec for storm --- PAPER.md | 38 --- docs/paper/crypto-note.aux | 5 + docs/paper/crypto-note.log | 493 +++++++++++++++++++++++++++++++++++++ docs/paper/crypto-note.out | 0 docs/paper/crypto-note.pdf | Bin 0 -> 187793 bytes docs/paper/crypto-note.tex | 75 ++++++ docs/paper/storm-spec.pdf | Bin 0 -> 146873 bytes docs/paper/storm-spec.tex | 197 +++++++++++++++ 8 files changed, 770 insertions(+), 38 deletions(-) delete mode 100644 PAPER.md create mode 100644 docs/paper/crypto-note.aux create mode 100644 docs/paper/crypto-note.log create mode 100644 docs/paper/crypto-note.out create mode 100644 docs/paper/crypto-note.pdf create mode 100644 docs/paper/crypto-note.tex create mode 100644 docs/paper/storm-spec.pdf create mode 100644 docs/paper/storm-spec.tex diff --git a/PAPER.md b/PAPER.md deleted file mode 100644 index 72ed31d..0000000 --- a/PAPER.md +++ /dev/null @@ -1,38 +0,0 @@ -# Comprehensive Overview of the Rainstorm Hash Function - -## Abstract -The Rainstorm hash function, a creation of Cris at DOSYAGO in 2023, stands as a notable cryptographic hash function featuring a 1024-bit internal state and 512-bit blocks. Capable of producing outputs up to 512 bits, it doubles as an eXtensible Output Function (XOF) and a keystream generator. This paper presents a comprehensive overview of the Rainstorm algorithm, incorporating insights from recent empirical testing. - -## Introduction -Critical to cryptographic applications, hash functions ensure data integrity, authentication, and non-repudiation. Rainstorm, with its novel approach, offers high security and efficiency. Its block-based mechanism leverages bitwise operations and modular arithmetic over prime numbers for robust cryptographic processing. - -## Algorithm Overview -Rainstorm functions through 512-bit blocks while maintaining a 1024-bit internal state. Its design, incorporating selected primes and rotation amounts, aims for optimal avalanche properties. The algorithm's iterative nature involves multiple rounds of input data processing. - -### Key Features: -- **Block Size**: 512 bits -- **Internal State**: 1024 bits -- **Output Size**: Up to 512 bits -- **Rounds**: 4 regular, 2 final per block -- **Primes and Rotations**: Prime numbers and specific rotation amounts for enhanced cryptographic security - -## Implementation -Implemented in C++ for efficiency and portability, Rainstorm is optimized across various platforms, including Emscripten for WebAssembly. Inline functions and templates in its codebase contribute to its performance and flexibility. - -## Empirical Testing and Cryptographic Properties -### Performance Analysis -Rainstorm's performance, as validated by SMHasher3 tests, showcases consistent efficiency across key sizes, averaging about 247 cycles per hash for small keys. In bulk speed tests, it achieved 1.92 GiB/sec at 3.5 GHz, demonstrating high throughput capabilities. - -### Avalanche Effect -Testing confirmed Rainstorm's strong avalanche effect. Changes in input bits resulted in significant and unpredictable output changes, with bias percentages ranging from 0.632% to 0.877%, indicative of a robust avalanche effect. - -### Collision Resistance -Rainstorm displayed excellent collision resistance in 'Zeroes', 'Cyclic', and 'Sparse' tests at higher bit levels (64-bit to 256-bit). Some deviations at lower bit levels (27-bit to 32-bit) were within acceptable ranges, affirming the algorithm's resistance to collision attacks. - -### Bit Independence -The Bit Independence Criteria (BIC) tests showed low maximum bias values, demonstrating a high level of independence among output bits and reinforcing the algorithm's resilience against common cryptographic attacks. - -## Conclusion -Integrating empirical testing results, the Rainstorm hash function emerges as a sophisticated, reliable candidate in the cryptographic domain. Its design demonstrates a thoughtful approach to achieving key cryptographic properties such as efficiency, strong avalanche effect, collision resistance, and bit independence. Continued evaluation and adaptation in response to new research are vital for its ongoing relevance and application in cryptographic solutions. - - diff --git a/docs/paper/crypto-note.aux b/docs/paper/crypto-note.aux new file mode 100644 index 0000000..5b4ca0c --- /dev/null +++ b/docs/paper/crypto-note.aux @@ -0,0 +1,5 @@ +\relax +\providecommand\hyper@newdestlabel[2]{} +\providecommand\HyField@AuxAddToFields[1]{} +\providecommand\HyField@AuxAddToCoFields[2]{} +\gdef \@abspage@last{3} diff --git a/docs/paper/crypto-note.log b/docs/paper/crypto-note.log new file mode 100644 index 0000000..650144d --- /dev/null +++ b/docs/paper/crypto-note.log @@ -0,0 +1,493 @@ +This is pdfTeX, Version 3.141592653-2.6-1.40.26 (TeX Live 2024) (preloaded format=pdflatex 2024.12.15) 15 DEC 2024 20:04 +entering extended mode + restricted \write18 enabled. + %&-line parsing enabled. +**crypto-note.tex +(./crypto-note.tex +LaTeX2e <2023-11-01> patch level 1 +L3 programming layer <2024-02-20> +(/usr/local/texlive/2024basic/texmf-dist/tex/latex/base/article.cls +Document Class: article 2023/05/17 v1.4n Standard LaTeX document class +(/usr/local/texlive/2024basic/texmf-dist/tex/latex/base/size11.clo +File: size11.clo 2023/05/17 v1.4n Standard LaTeX file (size option) +) +\c@part=\count188 +\c@section=\count189 +\c@subsection=\count190 +\c@subsubsection=\count191 +\c@paragraph=\count192 +\c@subparagraph=\count193 +\c@figure=\count194 +\c@table=\count195 +\abovecaptionskip=\skip48 +\belowcaptionskip=\skip49 +\bibindent=\dimen140 +) +(/usr/local/texlive/2024basic/texmf-dist/tex/latex/geometry/geometry.sty +Package: geometry 2020/01/02 v5.9 Page Geometry + +(/usr/local/texlive/2024basic/texmf-dist/tex/latex/graphics/keyval.sty +Package: keyval 2022/05/29 v1.15 key=value parser (DPC) +\KV@toks@=\toks17 +) +(/usr/local/texlive/2024basic/texmf-dist/tex/generic/iftex/ifvtex.sty +Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. 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+\usepackage{lmodern} +\usepackage[T1]{fontenc} + +\hypersetup{ + colorlinks=true, + linkcolor=blue, + urlcolor=blue, + citecolor=blue +} + +\title{A Cryptographic Note on the Rainstorm Hash Function} +\author{(Cris)} +\date{\today} + +\begin{document} +\maketitle + +\section*{Introduction} +This note provides a high-level cryptographic commentary on the Rainstorm hash function, which features a 1024-bit internal state and processes data in 512-bit blocks. While Rainstorm borrows some conceptual elements from established hashing paradigms, it does not directly follow a well-analyzed structure like the sponge construction used in SHA-3 finalists, nor does it rely on standard, rigorously studied primitives. Instead, it employs carefully chosen primes and rotation constants to achieve desired avalanche properties. + +As Rainstorm has not yet undergone extensive public cryptanalysis, the observations here serve as preliminary considerations for cryptographers interested in evaluating its security. + +\section*{Conceptual Similarities to Established Hashes} +Rainstorm shares certain thematic elements with known cryptographic hash functions: + +\begin{itemize} + \item \textbf{Large Internal State and Block-Based Absorption:} + The use of a 1024-bit internal state and a 512-bit block size recalls the design philosophy of sponge-based constructions (e.g., Keccak/SHA-3), which operate by absorbing input into a large state and applying a fixed permutation. While Rainstorm’s transform differs in detail, the general pattern of input absorption followed by repeated mixing rounds bears conceptual resemblance to such designs. + + \item \textbf{Simple Arithmetic and Bitwise Operations:} + Rainstorm’s mixing relies on XOR, addition-like operations (in this case, subtraction mod $2^{64}$), and rotations. This mirrors a common trend in modern hashes (e.g., BLAKE2, Skein) that forgo complicated S-boxes in favor of simple, fast, and hardware-friendly operations. Although these primitives are widely used, the specific combination and parameters in Rainstorm have not been previously analyzed to the same extent. +\end{itemize} + +\section*{Potential Avenues for Cryptanalysis and Attack} +Despite these conceptual parallels, Rainstorm’s security remains unestablished. Potential weaknesses and cryptanalytic angles include: + +\begin{itemize} + \item \textbf{Novelty of the Core Mixing Function:} + Rainstorm’s core mixing step (\texttt{weakfunc}) is a custom design with no standard reference primitive. Unlike SHA-3’s Keccak permutation or BLAKE2’s ChaCha-inspired round function, Rainstorm does not build on a widely scrutinized component. Cryptanalysts may attempt reduced-round attacks or differential analyses to identify whether certain input differences propagate through the rounds in a non-uniform or predictable way. + + \item \textbf{Choice of Subtraction vs. Addition:} + Many hash functions rely on addition mod $2^{64}$, which has been studied extensively. Rainstorm uses subtraction mod $2^{64}$ alongside XOR and rotation. While addition and subtraction are isomorphic in mod $2^{64}$ arithmetic, the specific pattern might introduce subtle biases. Cryptanalysts could investigate whether subtraction interacts with the chosen rotation and XOR patterns to yield exploitable structural properties. + + \item \textbf{Constants and Rotation Schedules:} + Rainstorm’s constants are prime-based and chosen for good avalanche properties as indicated by tests like SMHasher3. However, such tests catch only relatively coarse statistical weaknesses. A more granular cryptanalysis might reveal differential characteristics or linear trails that remain undetected by these broad tests. The fixed rotation amounts and constants might form weak points if attackers can construct differential paths with relatively high probability. + + \item \textbf{Keyed Initialization and Length Dependence:} + The initialization of the internal state depends on the seed and message length, both linearly integrated. While this ensures domain separation, it also creates a direct algebraic relationship between seed, length, and initial state words. Cryptanalysts may explore scenarios where multiple messages differ only in length or seed to determine if these relationships simplify certain attacks. + + \item \textbf{Additional Rounds for Larger Outputs:} + Rainstorm applies extra rounds when producing longer outputs (e.g., for 128-, 256-, or 512-bit digests). While additional mixing may enhance security, it could also introduce structures that differ from the base case. A thorough cryptanalysis would examine whether certain output sizes are more susceptible to analysis than others, potentially using truncated outputs or focusing on properties of the final mixing stages. + +\end{itemize} + +\section*{Comparison to Established Processes (e.g., SHA-3 Competition)} +During the SHA-3 competition, candidates underwent rigorous third-party cryptanalysis, differential attacks, and attempts to find structural weaknesses. This process was transparent and involved the broader cryptographic community. Rainstorm’s current status more closely resembles a preliminary proposal: it shows promising avalanche behavior and passes heuristic tests, but has not yet faced the same level of scrutiny. + +For Rainstorm to gain confidence, a similar public and professional cryptanalysis effort is necessary. Attacks that were effective at distinguishing or breaking other SHA-3 candidates might be adapted to probe Rainstorm for non-random behavior. + +\section*{Conclusion} +While Rainstorm’s design choices appear reasonable at a surface level—incorporating large internal states, carefully chosen constants, and simple bitwise operations—the absence of a well-known, deeply analyzed primitive leaves it open to a wide range of cryptanalytic investigations. Researchers may attempt differential, linear, rotational, or algebraic attacks, as well as attempts to break reduced-round versions. + +In summary: +\begin{itemize} + \item Rainstorm shares some structural concepts with established hash functions but does not rely on a known, vetted permutation or function. + \item Potential weaknesses lie in the unexplored properties of its custom mixing steps and arithmetic choices. + \item A comprehensive and public cryptanalysis effort is needed to determine whether Rainstorm can offer security properties comparable to established standards. +\end{itemize} + +This note thus serves as an invitation and a guidepost for cryptanalysts. By applying the methods developed during the SHA-3 competition and other cryptographic evaluations, the community can determine if Rainstorm stands up to rigorous cryptographic standards or if its structure conceals exploitable weaknesses. +\end{document} diff --git a/docs/paper/storm-spec.pdf b/docs/paper/storm-spec.pdf new file mode 100644 index 0000000000000000000000000000000000000000..ea0007e0bb6b706bd0a6d0c5ef7c52c0df522ac8 GIT binary patch literal 146873 zcma&MQ>-vN)UCU0d%erHZQHhO+qP}nwr$(C?eiV%tA8i^^kQW8rb(08^ywHSkrx)F zVW4G!BAH(vS%+f5r^mN5w1nd3hN6=;u{Cox$7f_26lhL+pbD5CFM-9C}KY{2c0VIFV0>vg+Km9T2!(x$Kf zIBEnkqCUWU>f;qx6Z(B&33kq>$U4sStdAM5ym4!0!p4@_@$}Q3+T8DFXcp!QYLVh} zt*z;(>hgR>X=9=4Y;9^2{K(4YjFhapg9h6Tz3UIDbzfbWi+WFnmDcs<$hz~*lLtjO z9I<|l9q`oGO}BBSebgyYfuRDCmHShI_+w|Cov8Z!M_HAhzl^J>g-MCAIr2%d;pDVr zEoEttOx>rc{}KKIUZ4A)qpkTvUK@JAd*xLd>g1QyI@2I~WG;girl=VSa!NeuxaSR; zEt6SiI~cOd!KZzwq@Vhc0pfKava+%^xt*Fsi)fH!0c9>s*E{zaim|utcG`J#u7aY5 zAq6g>E}Pg~{11I`D#|W}Q52`O-KC6^7vAcQjQb0g=H>0#G>R>z_*FavH$oD9@XaFZ zOr?zVn)@Sfwb8e~86F?tLsnXIdpI>k=#!#?0<#Ui5jho}lzqsf}zMy@>L5hY1I>Uwi-Z&FGD7bln0IF(n`%IyT{)v^GPHH;bxs&Fzi=W5mV@uZ}essS_&Qq!S#?gx$ZUCGoYG_yL@>FQc8cU zfi!+`(Uq3`B^8c(XoIN8uY4Cw6bcH&1o46v;xYAAgY57<2wT#>Tcu)t8)w2}5IyZZ z(T4Zawr;UI@APyUG2)^_Al-%_4adS zm6Vgq_xZZ3Q?w9d&veyo&#+4ZYqXxA-~#Yq6up0XjJe)@I9)1wc55?)@t3Ad`W%Wn z`j+v_!~|WvZUn9F1_{kpX|;MT0~YIC5LJWqt0in5+|3-igwueoIG9dD1c)|aathnU zwoq5fayv5!5WQUePWJkc80dDK^4mI0(FT~Aqv|tK64KUJ{JPFru)P~C?(@MxjL(E9 z^R%5hdUf7d0Y4Zw6g(JxEX6NY^& zDhodh|J7xSr=KEehg0(^;v;Lt(#tahKEubUGD>X%QuLn9#QcPQr;;G3})sTJh z#>;tdq!cG*qtk~b)8-xtg@nn*p$DX^fC2jUpG7hrOhYxtx5aFlWEcal4fTdbrc znBFxLOSviC*^Xs%3-k-Vl(Q=-5Fm~1A>3vJ>OWS_uj&zTp3t^D?yv7}J3{E<1ZLek za=;7u3*L>IwuFZPkq$8#WWLJ$>-i|A2f|<6EV8gaP*7yW0($K3bE6wF)@H4mxAVY; z;OEkFf_OPmcKn-7#jdK(Xs$=7%VNS2ovOG`9zWfpdvoJHQ#BbL2BfE_0s|@;RvVF4 z0mgXL3K!VVfL=&QSCNI$#^%z|4zAfa09pzVqEZ=SIu-lQEdTmvnsgPGr13;a$T^F! zz;j^~q=7s@)5Hq+%%6MP?BkF5(6SbLSKlI2j|llvx`opad&N1qK_p%b-%GaLIg;)i zYlX2=<+2WdyKy^7oqfN_4H3AAtGxrhzF&qS=Z=MD+hp@;n!qkrhX6>v-VKF5d<0@F zb59x{)^G>cZpq9I)YciZ*&8bK(y&qo7xd1p7IiN&BK=MYYMjcLXLsl5CtwI1o88&X&FJT+&r-Y+>$96JWp+Z`0GH@giZB)4NgFM~l|sLEJK(Gbi# zkfYax@Kmm!h#QWg3?wWoL0ViAYPQ2bPg1ZY^i^IQEA*SEVFyrpsYIi}4UH@uX(9Y~ zj-?np&L@K5!$C*3>2G3?9e3zgR-jZE&~nO!wy zA*er!J*{hXY+o2&TvV4glsl{tWFxe^d~1vLs1cW3o4>%sTCjwE^fj3w6oIm z2Pp1Oc?o4=YyAHq#edcRjU$YV{~Io$XJq*Q%Oy8jQchc}2)$ow_u?{yAW>|I6C^b| zr8Cb5=A}$B-ul#=tIDO?5w@GZpR^F+NG9?qHWLz?x`L1(uIN#AczD(G$BYFNY+}sZ zdNHxNIpRtF_}b*D(X>c2NHnkw*oh159%;QaO^kRj9jO;rhKjO{7sq$i+0&5&8|PhS zWZGo>5hZBbhM6#!k%`lFJeU}{v#0HvmCR1?Il8jH81zY}A$UEr=uy{tjUrIE-M(~9#d(x|>5I#-$0 z|HzK!PP(7LL%q7~2@?s}Ai(!05aa`%r34PJXO&1o@knPOwTtm~J~zC(@mDzI&kb+X zAg|JVa{9{fBfmYSeNDqvI|bv5N9ow#kU>Y5S~69iKo(%+X%)0TG??MQW5RW_UL5I- zH;WNQ(EnAX`Fb#50FmRU%#tH+vNj9h-CQ4R$_Q~;EzRNyaorW=v{|UV=GLP7EKl`R zrTNI}-eI{_qF)x(n_2Uiy)M^zU7Xc?o=EzQvmud%e-Q&MO%eCFrLFV2gLHxa%-9E; zlY-!*DWFM!d*9&#oSO{*diQ&3^uOU@^nYpOzuf^ZOaVCn;EnsDUHcE8F+>Oj^i(aT zgUv%s3VJbiPDYu>0j4WeTeFfZ$VwoZUJgIgZVDnzUdd9D1|rj3O*)>weK1-klPXTt z%#hFSyI8#uQx<==w+OTjLu?6+KbC*2W@GJe;X*ZCop}f7m~{VEr~qaU%L!&}76YJn zYEg)_^SZ&G;CX(yBQ6Dv>lgAW#P9q!F=0mN0VtN?04aWuUfEDpsly-9cdaYVUb~GIgoMay)(>_-wzeH zSC~i9$7(AJA*q`mJxqB~R#;u>u>Gk;z;=QB9d5^H!=}sHMeWs3;6XuOIG}}MDMe=? 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+\title{The Rainstorm Hash Function: Formal Specification (Draft)} +\author{Cris (DOSAYGO Corp.), 2023} +\date{\today} + +\begin{document} +\maketitle + +\section*{Overview} +Rainstorm is a family of keyed hash functions designed by Cris (DOSAYGO Corp.) in 2023. It produces fixed-size outputs of 64, 128, 256, or 512 bits from arbitrary-length byte inputs. Rainstorm uses a 1024-bit internal state and processes input data in 512-bit (64-byte) blocks. Its constants and rotation values were chosen based on extensive testing to ensure desirable mixing properties. + +While Rainstorm was created with cryptographic aims, it is currently undergoing evaluation, and no formal proofs of security exist yet. The community is encouraged to analyze and test Rainstorm, applying techniques ranging from heuristic analysis to rigorous cryptography methods. + +\section*{Domain and Range} +\textit{Input:} A message $M$ is a sequence of bytes $(M[0], \ldots, M[L-1])$ with arbitrary length $L \ge 0$. +\textit{Seed:} A 64-bit unsigned integer $s$ (default $s=0$). Different seeds produce distinct hash variants. +\textit{Output:} A digest of length $N \in \{64, 128, 256, 512\}$ bits. + +\section*{Parameters and Constants} +Rainstorm uses fixed 64-bit constants and rotation amounts that were selected through computational searches and empirical testing to encourage strong avalanche properties. + +Constants: +\[ +P = 2^{64}-1 - 58, \quad Q = 13166748625691186689, \quad R = 1573836600196043749 +\] +\[ +S = 1478582680485693857, \quad T = 1584163446043636637, \quad U = 1358537349836140151 +\] +\[ +V = 2849285319520710901, \quad W = 2366157163652459183 +\] + +\[ +K = [P, Q, R, S, T, U, V, W] +\] + +Rotation constants: +\[ +Z = [17, 19, 23, 29, 31, 37, 41, 53] +\] + +Counter values: +\[ +\text{CTR}_{\text{LEFT}} = 0xefcdab8967452301_{16}, \quad +\text{CTR}_{\text{RIGHT}} = 0x1032547698badcfe_{16} +\] + +\section*{State Initialization} +For a given message length $L$, seed $s$, and output length $N$, the internal state $h$ is a vector of 16 64-bit words. + +Define: +\[ +c_0 = 1,\quad +c_1 = 2,\quad +c_2 = 2,\quad +c_3 = 3,\quad +c_4 = 5,\quad +c_5 = 7,\quad +c_6 = 11,\quad +c_7 = 13, +\] +\[ +c_8 = 17,\quad +c_9 = 19,\quad +c_{10} = 23,\quad +c_{11} = 29,\quad +c_{12} = 31,\quad +c_{13} = 37,\quad +c_{14} = 41,\quad +c_{15} = 43. +\] + +Then: +\[ +h[i] = s + L + c_i \quad \text{for } i=0,\ldots,15. +\] + +\section*{Block Processing and Endianness} +Rainstorm processes the input in 512-bit (64-byte) chunks. Each chunk is interpreted as eight 64-bit words in little-endian format: +\[ +data[i] = \text{LE\_decode\_64}(B[8i : 8i+7]), \quad i=0,\ldots,7. +\] + +The output is produced in little-endian format for each 64-bit word of $h$. + +\section*{Rounds and Weak Function} +For each 64-byte chunk, Rainstorm performs 4 rounds of an internal function $\text{weakfunc}(h, data, left)$. The boolean $left$ is toggled each round. + +Define $\text{ROTR}(x,n)$ as the 64-bit rotate-right operation on $x$ by $n$ bits. + +\section*{The Weak Function} +\[ +\text{weakfunc}(h, data, left) +\] + +\textit{If $left = \text{true}$:} +\[ +ctr = \text{CTR}_{\text{LEFT}} +\] +For $i=0,\ldots,7$: +\[ +h[i] \leftarrow h[i] \oplus data[i], \quad +h[i] \leftarrow h[i] - K[i], \quad +h[i] \leftarrow \text{ROTR}(h[i], Z[i]) +\] +\[ +h[i+8] \leftarrow h[i+8] \oplus h[i], \quad +ctr \leftarrow ctr + h[i], \quad +h[(i+1)\bmod 8] \leftarrow h[(i+1)\bmod 8] - ctr +\] + +\textit{If $left = \text{false}$:} +\[ +ctr = \text{CTR}_{\text{RIGHT}} +\] +For $i=8,\ldots,15$: +\[ +h[i] \leftarrow h[i] \oplus data[i-8], \quad +h[i] \leftarrow h[i] - K[i-8], \quad +h[i] \leftarrow \text{ROTR}(h[i], Z[i-8]) +\] +\[ +h[i-8] \leftarrow h[i-8] \oplus h[i], \quad +ctr \leftarrow ctr + h[i], \quad +h[((i-7)\bmod 8)+8] \leftarrow h[((i-7)\bmod 8)+8] - ctr +\] + +\section*{Padding} +After processing all full 64-byte chunks, if any bytes remain, a final padded block is formed. + +Let $r$ be the remaining length (0 to 63). Initialize a 64-byte array $temp$ with $(0x80 + r) \bmod 256$ in every byte, then overwrite the first $r$ bytes of $temp$ with the remaining data. + +No length encoding beyond this padding is performed. + +Process this final block with 4 rounds of $\text{weakfunc}$, then: +\[ +\text{for } i=0 \text{ to } 7:\quad h[i] \leftarrow h[i] - h[i+8]. +\] + +If $N > 64$ bits, perform $\max(N/64, 2)$ additional calls of $\text{weakfunc}(h, temp, true)$ to further mix the state. + +\section*{Output} +The final hash is taken from $h[0..7]$ as follows: +- $N=64$: output $h[0]$ +- $N=128$: output $(h[0], h[1])$ +- $N=256$: output $(h[0], h[1], h[2], h[3])$ +- $N=512$: output $(h[0], h[1], h[2], h[3], h[4], h[5], h[6], h[7])$ + +\section*{Empirical Results and Analysis Invitation} +Rainstorm’s design choices were guided by empirical testing, including runs through \href{https://gitlab.com/fwojcik/smhasher3}{SMHasher3} (by Frank J. T. Wojcik). Tests indicate strong avalanche characteristics and minimal bias, suggesting that small changes in input bits produce large, unpredictable changes in output bits. Preliminary performance benchmarks show around 247 cycles per hash for small keys and bulk speeds of about 1.92 GiB/s at 3.5 GHz. + +These observations are encouraging but are not conclusive cryptographic proofs. Rainstorm has not been formally analyzed by the broader cryptographic community. Interested researchers and practitioners, whether new to cryptanalysis or established in the field, are invited to scrutinize Rainstorm’s construction, test it against known cryptographic attacks, and share their findings. + +\section*{Test Vectors} +Below are sample test vectors (with $s=0$ and $N=256$): + +\begin{verbatim} +Message: "" +Digest: e3ea5f8885f7bb16468d08c578f0e7cc15febd31c27e323a79ef87c35756ce1e + +Message: "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789" +Digest: 9e07ce365903116b62ac3ac0a033167853853074313f443d5b372f0225eede50 + +Message: "The quick brown fox jumps over the lazy dog" +Digest: f88600f4b65211a95c6817d0840e0fc2d422883ddf310f29fa8d4cbfda962626 + +Message: "The quick brown fox jumps over the lazy cog" +Digest: ec05208dd1fbf47b9539a761af723612eaa810762ab7a77b715fcfb3bf44f04a + +Message: "The quick brown fox jumps over the lazy dog." +Digest: 822578f80d46184a674a6069486b4594053490de8ddf343cc1706418e527bec8 + +Message: "After the rainstorm comes the rainbow." +Digest: 410427b981efa6ef884cd1f3d812c880bc7a37abc7450dd62803a4098f28d0f1 + +Message: "@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@" +Digest: 47b5d8cb1df8d81ed23689936d2edaa7bd5c48f5bc463600a4d7a56342ac80b9 +\end{verbatim} + +\section*{Conclusion} +This document provides a formal specification of Rainstorm’s design, constants, and processing steps, as well as initial empirical observations. The cryptographic community is invited to analyze Rainstorm for properties such as collision resistance, preimage resistance, and differential security. Only through public scrutiny and rigorous testing can Rainstorm be evaluated as a potential candidate for widespread cryptographic use. + +\end{document} + From 1b4aeebfe4e2cbd6833302ea73930f7a12a2f206 Mon Sep 17 00:00:00 2001 From: DOSAYGO Development Team Date: Sun, 15 Dec 2024 20:07:02 +0800 Subject: [PATCH 2/3] ok --- docs/index.html | 2 ++ 1 file changed, 2 insertions(+) diff --git a/docs/index.html b/docs/index.html index 712f011..8b4154b 100644 --- a/docs/index.html +++ b/docs/index.html @@ -186,4 +186,6 @@ });

Get the code

+

Rainstorm Crypto Note (PDF)

+

Rainstorm Formal Spec (PDF)

From 900e8fb5f26c2b5e296f025bbe51eead01fda7b8 Mon Sep 17 00:00:00 2001 From: DOSAYGO Development Team Date: Sun, 15 Dec 2024 20:08:53 +0800 Subject: [PATCH 3/3] note docs in readme --- README.md | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/README.md b/README.md index 405ee8b..adaedd1 100644 --- a/README.md +++ b/README.md @@ -197,6 +197,11 @@ Runs 2 and 3 show similar results, consistently demonstrating that the native C+ **Rainstorm** is a slower, more complex hash function inspired by cryptographic designs. It supports output sizes of 64 to 512 bits and adjustable rounds. While it uses operations reminiscent of cryptographic hashes, it **is not formally analyzed by any 3rd-party**. Consider it experimental, but designed to be secure. +### Documents + +- **Rainstorm Formal Spec (Draft)**: [PDF](docs/paper/storm-spec.pdf) +- **Rainstorm Crypto Note**: [PDF](docs/paper/crypto-note.pdf) + --- ## Note on Cryptographic Intent