One (96, 20, 4)-symmetric Design and related Nonabelian Difference Sets

ANKA GOLEMAC; TANJA VUCICIC; JOSKO MANDIC

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One (96, 20, 4)-symmetric Design and related Nonabelian Difference Sets

机译：一（96、20、4）个对称设计和相关的Nonabelian差异集

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摘要

New (96, 20, 4)-symmetric design has been constructed, unique under the assumption of an automorphism group of order 576 action. The correspondence between a (96, 20, 4)-symmetric design having regular automorphism group and a difference set with the same parameters has been used to obtain difference sets in five nonabelian groups of order 96. None of them belongs to the class of groups that allow the application of so far known construction (McFarland, Dillon) for McFarland difference sets.

机译：构造了新的（96，20，4）对称设计，在假设576阶自同构群的假设下是唯一的。具有正则自同构群的（96、20、4）对称设计与具有相同参数的差异集之间的对应关系已用于获得96阶五个非阿贝尔群的差异集。它们都不属于组类别允许将迄今为止已知的构造（McFarland，Dillon）用于McFarland差集。

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来源
《Designs, Codes and Crytography》 |2005年第1期|p.5-13|共9页
作者
ANKA GOLEMAC; TANJA VUCICIC; JOSKO MANDIC;
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作者单位

Department of Mathematics, University of Split, Teslina 12/III, 21 000 Split, Croatia;

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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
中图分类高等数学;
关键词
symmetric design; difference set; automorphism group;

机译：对称设计差分集自同构群;

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2. New Symmetric Designs and Nonabelian Difference Sets with Parameters (100, 45, 20) [J] . Tanja Vucicic Journal of combinatorial designs . 2000,第4期

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3. GRAPHS AND SYMMETRIC DESIGNS CORRESPONDING TO DIFFERENCE SETS IN GROUPS OF ORDER 96 [J] . SNJEZANA BRAIC, ANKA GOLEMAC, JOSKO MANDIC, Glasnik Matematicki . 2010,第1期

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7. Graphs and symmetric designs corresponding to difference sets in groups of order 96 [O] . Braić, Snježana, Golemac, Anka, Mandić, Joško, 2010

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8. On the p-Rank of the Design Matrix of a Difference Set [R] . MacWilliams, F. J., Mann, H. B. 1967

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One (96, 20, 4)-symmetric Design and related Nonabelian Difference Sets

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