论文标题

在非亚伯人组中,负拉丁正方形型部分差异集64

Negative Latin Square Type Partial Difference Sets in Nonabelian Groups of Order 64

论文作者

Brady, Andrew Charles

论文摘要

在非阿伯群中,很少有拉丁正方形型部分差异集(NLST PDS)的示例。我们列出了48个非同构的非态,非属于64的非同构的NLST PDS的列表。这些NLST PDSS形成8个非同态非常正常的图形。这些PDS是使用理论技术和计算机搜索的组合构建的,两者均描述。该搜索是在212/267的非同构组64的212/267组上进行的。

There exist few examples of negative Latin square type partial difference sets (NLST PDSs) in nonabelian groups. We present a list of 176 inequivalent NLST PDSs in 48 nonisomorphic, nonabelian groups of order 64. These NLST PDSs form 8 nonisomorphic strongly regular graphs. These PDSs were constructed using a combination of theoretical techniques and computer search, both of which are described. The search was run exhaustively on 212/267 nonisomorphic groups of order 64.

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