On the existence of special nonlinear invariants for round functions of XSL-ciphers

IF 0.3 Q4 MATHEMATICS, APPLIED

Discrete Mathematics and Applications Pub Date : 2023-03-01 DOI:10.1515/dma-2023-0007

D. Burov

引用次数: 1

Abstract

Abstract Nonlinear invariants of round transformations in XSL-schemes are studied. The emphasis is on invariants which may be found by means of the approach suggested at the conference ASIACRYPT 2016. Some known results on the inertia groups of decomposable functions are used to describe conditions on S-boxes and matrices of XSL-schemes which are necessary for the existence of such invariants. It is shown that for a number of schemes these conditions are not satisfied.

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XSL密码的圆函数的特殊非线性不变量的存在性

摘要研究了xsl格式中圆变换的非线性不变量。重点是可以通过2016年ASIACRYPT会议上建议的方法找到的不变量。利用可分解函数惯性群的一些已知结果，描述了s -box和xsl - schema矩阵上存在这种不变量所必需的条件。结果表明，对于许多方案，这些条件是不满足的。

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

Discrete Mathematics and Applications MATHEMATICS, APPLIED-

CiteScore

0.60

自引率

20.00%

发文量

期刊介绍： The aim of this journal is to provide the latest information on the development of discrete mathematics in the former USSR to a world-wide readership. The journal will contain papers from the Russian-language journal Diskretnaya Matematika, the only journal of the Russian Academy of Sciences devoted to this field of mathematics. Discrete Mathematics and Applications will cover various subjects in the fields such as combinatorial analysis, graph theory, functional systems theory, cryptology, coding, probabilistic problems of discrete mathematics, algorithms and their complexity, combinatorial and computational problems of number theory and of algebra.