A construction of a partial difference set in the extraspecial groups of order p(3) with exponent p(2)

Swartz Eric

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A construction of a partial difference set in the extraspecial groups of order p(3) with exponent p(2)

机译：指数为p（2）的阶p（3）的特殊组中偏差集的构造

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摘要

A partial difference set in a finite group such that and corresponds to an undirected strongly regular Cayley graph Very few examples of PDSs are known, and there are especially few known in nonabelian groups. In this paper, a partial difference set with and is constructed for each extraspecial group of order and exponent , where is an odd prime.

机译：有限组中的一个局部差集，使得和对应于一个无向的强正则Cayley图，PDS的例子很少，而在非阿贝尔群中则很少。在本文中，针对阶和指数的每个特殊组构造的带有和的偏差集，其中是奇数素数。

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来源
《Designs, Codes and Crytography》 |2015年第2期|237-242|共6页
作者
Swartz Eric;
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作者单位

Univ Western Australia, Ctr Math Symmetry & Computat, Sch Math & Stat, 35 Stirling Highway, Crawley, WA 6009, Australia;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Partial difference set; Cayley graph; Strongly regular graph;

机译：偏差集;Cayley图;强正则图;

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A construction of a partial difference set in the extraspecial groups of order p(3) with exponent p(2)

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