✦ LIBER ✦

On perfect nonlinear functions

✍ Scribed by Zhang Xiyong; Han Wenbao; Fan Shuqin

Book ID: 102308123
Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 136 KB
Volume: 13
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.20051

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✦ Synopsis

Abstract

An Erratum has been published for this article in Journal of Combinatorial Designs 14: 82–82, 2006.

We give the equivalence between perfect nonlinear functions and appropriate splitting semi‐regular relative difference sets, construct a class of splitting relative difference sets by using Galois rings and bent functions, and prove that there exists a 4‐phase perfect nonlinear function if and only if the number of input variables is at least twice the number of output variables. © 2005 Wiley Periodicals, Inc.

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