Partial difference sets and amorphic group schemes from pseudo-quadratic bent functions

被引：2

作者：

Chen, Yu Qing ^{[1
]}

Polhill, John ^{[2
]}

机构：

[1] Wright State Univ, Dept Math & Stat, Dayton, OH 45435 USA

[2] Bloomsburg Univ Penn, Dept Math Stat & Comp Sci, Bloomsburg, PA 17815 USA

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2013年 / 37卷 / 01期

关键词：

Amorphic association scheme; Association scheme; Bent function; Partial difference set; Quadratic form; Negative Latin square; ASSOCIATION SCHEMES; CONSTRUCTIONS; RINGS;

D O I：

10.1007/s10801-012-0356-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present new abelian partial difference sets and amorphic group schemes of both Latin square type and negative Latin square type in certain abelian p-groups. Our method is to construct what we call pseudo-quadratic bent functions and use them in place of quadratic forms. We also discuss a connection between strongly regular bent functions and amorphic group schemes.

引用

页码：11 / 26

页数：16

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