Flaws of hypercube-like ciphers

IF 0.2 Q4 MATHEMATICS, APPLIED

Prikladnaya Diskretnaya Matematika Pub Date : 2022-01-01 DOI:10.17223/20710410/57/4

D. I. Trifonov

引用次数: 0

Abstract

The class of block cryptographic XSLP-algorithms called "hypercube" is considered. For algorithms of this class, we obtain estimates for the dispersion index of a linear environment for any number of iterations. It is shown that when choosing a transformation P using generalized de Bruijn graphs for the algorithms under consideration, the avalanche effect may not occur, as a result of which the encryption key can be determined with laboriousness, which is significantly less than the laboriousness of total key testing.

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超立方体密码的缺陷

本文考虑了称为“超立方体”的块加密xsl算法类。对于这类算法，我们得到了任意迭代次数下线性环境的色散指数的估计。结果表明，对于所考虑的算法，使用广义de Bruijn图选择变换P时，可能不会出现雪崩效应，从而可以很费力地确定加密密钥，这明显小于总密钥测试的费力性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Prikladnaya Diskretnaya Matematika MATHEMATICS, APPLIED-

CiteScore

0.60

自引率

50.00%

发文量

期刊介绍： The scientific journal Prikladnaya Diskretnaya Matematika has been issued since 2008. It was registered by Federal Control Service in the Sphere of Communications and Mass Media (Registration Witness PI № FS 77-33762 in October 16th, in 2008). Prikladnaya Diskretnaya Matematika has been selected for coverage in Clarivate Analytics products and services. It is indexed and abstracted in SCOPUS and WoS Core Collection (Emerging Sources Citation Index). The journal is a quarterly. All the papers to be published in it are obligatorily verified by one or two specialists. The publication in the journal is free of charge and may be in Russian or in English. The topics of the journal are the following: 1.theoretical foundations of applied discrete mathematics – algebraic structures, discrete functions, combinatorial analysis, number theory, mathematical logic, information theory, systems of equations over finite fields and rings; 2.mathematical methods in cryptography – synthesis of cryptosystems, methods for cryptanalysis, pseudorandom generators, appreciation of cryptosystem security, cryptographic protocols, mathematical methods in quantum cryptography; 3.mathematical methods in steganography – synthesis of steganosystems, methods for steganoanalysis, appreciation of steganosystem security; 4.mathematical foundations of computer security – mathematical models for computer system security, mathematical methods for the analysis of the computer system security, mathematical methods for the synthesis of protected computer systems;[...]