A framework for constructing partial geometric difference sets

Davis James A.; Olmez Oktay

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A framework for constructing partial geometric difference sets

机译：构造部分几何差异集的框架

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摘要

Partial geometric difference sets (PGDSs) were defined in Olmez (J Combin Des 22(6):252-269, 2014). They are used to construct partial geometric designs. We use the framework of extended building sets to find infinite families of PGDSs in abelian groups. Included in our new families of PGDSs are generalizations of the Hadamard, McFarland, Spence, Davis-Jedwab, and Chen difference sets.

机译：部分几何差异集（PGDS）在Olmez中定义（J Combin Des 22（6）：252-269，2014）。它们用于构造局部几何设计。我们使用扩展的构建集框架来查找阿贝尔群体中的PGDS无限家族。我们的新PGDS系列包括Hadamard，McFarland，Spence，Davis-Jedwab和Chen差异集的概括。

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来源
《Designs, Codes and Crytography》 |2018年第6期|1367-1375|共9页
作者
Davis James A.; Olmez Oktay;
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作者单位

Univ Richmond, Dept Math & CS, Richmond, VA 23173 USA;

Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey;

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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
Difference sets; Partial geometric difference sets; Partial geometric designs; Building sets; Extended building sets;

机译：差异集;局部几何差异集;局部几何设计;建筑物集;扩展建筑物集;

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A framework for constructing partial geometric difference sets

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