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Cryptographic hash functions play a central role in cryptography. Hash functions were introduced in cryptology to provide message integrity and authentication. MD5, SHA1 and RIPEMD are among the most commonly used message digest algorithm.…

Cryptography and Security · Computer Science 2010-03-09 Harshvardhan Tiwari , Dr. Krishna Asawa

Cryptographic hash functions for calculating the message digest of a message has been in practical use as an effective measure to maintain message integrity since a few decades. This message digest is unique, irreversible and avoids all…

Cryptography and Security · Computer Science 2010-03-31 Rakesh Mohanty , Niharjyoti Sarangi , Sukant kumar Bishi

In this paper we construct preimage attack on the truncated variant of the MD4 hash function. Specifically, we study the MD4-39 function defined by the first 39 steps of the MD4 algorithm. We suggest a new attack on MD4-39, which develops…

Artificial Intelligence · Computer Science 2019-10-07 Irina Gribanova , Alexander Semenov

Several cryptographic systems depend upon the computational difficulty of reversing cryptographic hash functions. Robust hash functions transform inputs to outputs in such a way that the inputs cannot be later retrieved in a reasonable…

cryptographic hash function is a deterministic procedure that compresses an arbitrary block of numerical data and returns a fixed-size bit string. There exist many hash functions: MD5, HAVAL, SHA, ... It was reported that these hash…

Cryptography and Security · Computer Science 2011-11-23 Rene Ndoundam , Juvet Karnel Sadie

SAT solvers are increasingly being used for cryptanalysis of hash functions and symmetric encryption schemes. Inspired by this trend, we present MapleCrypt which is a SAT solver-based cryptanalysis tool for inverting hash functions. We…

Cryptography and Security · Computer Science 2016-08-17 Saeed Nejati , Jia Hui Liang , Vijay Ganesh , Catherine Gebotys , Krzysztof Czarnecki

Many-hypercube codes, concatenated ${[[n,n-2,2]]}$ quantum error-detecting codes ($n$ is even), have recently been proposed as high-rate quantum codes suitable for fault-tolerant quantum computing. While the original many-hypercube codes…

Quantum Physics · Physics 2026-03-10 Hayato Goto

We present algorithms for the type-IV discrete cosine transform (DCT-IV) and discrete sine transform (DST-IV), as well as for the modified discrete cosine transform (MDCT) and its inverse, that achieve a lower count of real multiplications…

Data Structures and Algorithms · Computer Science 2009-01-29 Xuancheng Shao , Steven G. Johnson

A cumbersome operation in many scientific fields, is inverting large full-rank matrices. In this paper, we propose a coded computing approach for recovering matrix inverse approximations. We first present an approximate matrix inversion…

Information Theory · Computer Science 2022-12-21 Neophytos Charalambides , Mert Pilanci , Alfred Hero

Recently, Indesteege et al. [1] had described attacks against 23 and 24-step SHA-512 at SAC '08. Their attacks are based on the differential path by Nikolic and Biryukov [2]. The reported complexities are $2^{44.9}$ and $2^{53}$ calls to…

Cryptography and Security · Computer Science 2008-09-02 Somitra Kumar Sanadhya , Palash Sarkar

Vulnerability of dedicated hash functions to various attacks has made the task of designing hash function much more challenging. This provides us a strong motivation to design a new cryptographic hash function viz. HF-hash. This is a hash…

Cryptography and Security · Computer Science 2010-07-21 Dhananjoy Dey , Prasanna Raghaw Mishra , Indranath Sengupta

Cryptographic hash functions play a crucial role in ensuring data security, generating fixed-length hashes from variable-length inputs. The hash function SHA-256 is trusted for data security due to its resilience after over twenty years of…

Cryptography and Security · Computer Science 2024-07-01 Nahiyan Alamgir , Saeed Nejati , Curtis Bright

Hashing that projects data into binary codes has shown extraordinary talents in cross-modal retrieval due to its low storage usage and high query speed. Despite their empirical success on some scenarios, existing cross-modal hashing methods…

Computer Vision and Pattern Recognition · Computer Science 2022-09-27 Yufeng Shi , Xinge You , Jiamiao Xu , Feng Zheng , Qinmu Peng , Weihua Ou

Moderate Density Parity Check (MDPC) codes are defined here as codes which have a parity-check matrix whose row weight is $O(\sqrt{n})$ where $n$ is the length $n$ of the code. They can be decoded like LDPC codes but they decode much less…

Information Theory · Computer Science 2018-01-16 Jean-Pierre Tillich

Investigating how to construct a secure hash algorithm needs in-depth study, as various existing hash functions like the MD5 algorithm have recently exposed their security flaws. At the same time, hash function based on chaotic theory has…

Cryptography and Security · Computer Science 2017-06-27 Zhuosheng Lin , Christophe Guyeux , Simin Yu , Qianxue Wang

This document describes the symmetric encryption algorithm called Puzzle. It is free and open. The objective of this paper is to get an opinion about its security from the cryptology community. It is separated in two parts, a technical…

Cryptography and Security · Computer Science 2013-09-10 Gregory Alvarez , Charles Berenguer

Reconciliation is a crucial procedure in post-processing of Quantum Key Distribution (QKD), which is used for correcting the error bits in sifted key strings. Although most studies about reconciliation of QKD focus on how to improve the…

Quantum Physics · Physics 2019-03-26 Haokun Mao , Qiong Li , Qi Han , Hong Guo

We propose a more accurate variant of an algorithm for multiplying 4x4 matrices using 48 multiplications over any ring containing an inverse of 2. This algorithm has an error bound exponent of only log 4 $\gamma$$\infty$,2 $\approx$ 2.386.…

Data Structures and Algorithms · Computer Science 2026-03-20 Jean-Guillaume Dumas , Clément Pernet , Alexandre Sedoglavic

This article presents a new algorithm to find MDS matrices that are well suited for use as a diffusion layer in lightweight block ciphers. Using an recursive construction, it is possible to obtain matrices with a very compact description.…

Cryptography and Security · Computer Science 2013-05-16 Daniel Augot , Matthieu Finiasz

This paper introduces AlphaMapleSAT, a Cube-and-Conquer (CnC) parallel SAT solver that integrates Monte Carlo Tree Search (MCTS) with deductive feedback to efficiently solve challenging combinatorial SAT problems. Traditional lookahead…

Artificial Intelligence · Computer Science 2026-01-21 Piyush Jha , Zhengyu Li , Zhengyang Lu , Raymond Zeng , Curtis Bright , Vijay Ganesh
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