用包含/排除法求弯曲平衡单调旋转对称函数

IF 0.5 Q4 COMPUTER SCIENCE, THEORY & METHODS

Journal of Mathematical Cryptology Pub Date : 2021-01-01 DOI:10.1515/jmc-2020-0021

Elizabeth M. Reid

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引用次数: 1

摘要

摘要布尔函数有许多密码学应用。近年来，人们对具有有用密码学性质的单体旋转对称（MRS）函数进行了研究。本文利用包含/排除原理构造了两个子类MRS函数的权值公式：d次短MRS函数和d次函数。根据这些结果，我们对这些形式的弯曲和平衡函数进行了分类。

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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Using Inclusion / Exclusion to find Bent and Balanced Monomial Rotation Symmetric Functions

Abstract There are many cryptographic applications of Boolean functions. Recently, research has been done on monomial rotation symmetric (MRS) functions which have useful cryptographic properties. In this paper we use the inclusion/exclusion principle to construct formulas for the weights of two subclasses of MRS functions: degree d short MRS functions and d-functions. From these results we classify bent and balanced functions of these forms.

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来源期刊

Journal of Mathematical Cryptology COMPUTER SCIENCE, THEORY & METHODS-

CiteScore

2.70

自引率

8.30%

发文量

审稿时长

100 weeks