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Preimage Distributions of Perfect Nonlinear Functions and Vectorial Plateaued Functions

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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.

CryptographyPerfect nonlinear functionsPlateaued functionsPreimage distributions

XU Yuwei、LIU Feng、WU Chuankun

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State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences,Beijing 100093, China

School of Cyber Security, University of Chinese Academy of Sciences, Beijing 100049, China

This work is supported by the National Natural Science Foundation of ChinaStrategic Priority Research Program of the Chinese Academy of SciencesNational Key R&D Program of China

61671448XDA060107012016YFB0800100

2019

10.1049/cje.2019.06.013

中国电子杂志(英文版)

中国电子杂志(英文版)

CSTPCDCSCDSCIEI
ISSN：1022-4653
年,卷(期)：2019.28(5)
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