Preimage Distributions of Perfect Nonlinear Functions and Vectorial Plateaued Functions

被引：0

作者：

XU Yuwei ^{[1
,2
]}

LIU Feng ^{[1
]}

WU Chuankun ^{[1
]}

机构：

[1] State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences

[2] School of Cyber Security, University of Chinese Academy of Sciences

来源：

Chinese Journal of Electronics | 2019年 / 28卷 / 05期

基金：

国家重点研发计划; 中国国家自然科学基金;

关键词：

Cryptography; Perfect nonlinear functions; Plateaued functions; Preimage distributions;

D O I：

暂无

中图分类号：

O174 [函数论];

学科分类号：

070104 ;

摘要：

By converting the problem of preimage distribution of a perfect nonlinear function with three binary outputs to that with two binary outputs, this paper presents the preimage distributions of perfect nonlinear functions with three binary outputs. This paper also characterizes the fundamental characterization of the preimage distribution of vectorial plateaued functions with single amplitude and its component functions being all unbalanced, and gives the preimage distributions of such functions with two or three binary outputs.

引用

页码：933 / 937

页数：5

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