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

被引：0
|
作者：
Yu Qing Chen
John Polhill
机构：
[1] Wright State University,Department of Mathematics and Statistics
[2] Bloomsburg University,Department of Mathematics, Computer Science, and Statistics
来源：
Journal of Algebraic Combinatorics | 2013年 / 37卷
关键词：
Amorphic association scheme; Association scheme; Bent function; Partial difference set; Quadratic form; Negative Latin square;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：11 / 26
页数：15
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