A New Construction of Perfect Nonlinear Functions Using Galois Rings

被引：5

作者：

Feng, Tao ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2009年 / 17卷 / 03期

基金：

中国国家自然科学基金;

关键词：

perfect nonlinear function; relative difference set; Galois ring; RELATIVE DIFFERENCE SETS;

D O I：

10.1002/jcd.20213

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a prime p, we give a construction of perfect nonlinear functions from Z(p2)(n) to Z(p2) when either of the following conditions holds: (1) n >= p; (2) nip, and n is a composite number or is the sum of positive composite numbers. It follows that when n >= 12, there is a perfect nonlinear function from Z(p2)(n) to Z(p2) for any prime p. (C) 2009 Wiley Periodicals, Inc. J Combin Designs 17: 229-239, 2009

引用

页码：229 / 239

页数：11

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