用最大或接近最大的微分特征概率搜索Alzette S-Box的差异

IF 0.2 Q4 MATHEMATICS, APPLIED

Prikladnaya Diskretnaya Matematika Pub Date : 2023-01-01 DOI:10.17223/20710410/58/5

Andrey A. Dmukh, Dmitriy O. Pasko

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引用次数: 0

摘要

针对Alzette替代问题，提出了一种构造局部差分关系一致系统的“中间差分相遇”方法，使得得到具有最大或接近最大差分特征的系统成为可能。利用该方法，扩展了前人对Alzette替代的差分特性估计的结果，同时减少了工作量。

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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Search for differences for Alzette S-Box with maximum or close to maximum differential characteristic probability

A “difference meeting in the middle” approach is proposed for constructing consistent systems of local difference relations for the Alzette substitution, which makes it possible to obtain systems with maximum or close to maximum difference characteristics. Using this approach, the results on the estimation of the difference characteristics of the Alzette substitution, obtained by the developers of the substitution, are extended, while at the same time with less laboriousness.

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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;[...]