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arXiv 2103.16495math.CO
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关于(16,6,3)-设计与(25,12)Self-Orthogonal码的关系

On The Relationship between (16,6,3)-Designs and (25,12) Self-Orthogonal Codes

Navid Nasr Esfahani, G. H. John van Rees

摘要:

二进制自正交码和平衡不完全区组设计是两种应用广泛的组合构形,已被广泛研究。本文给出了二元(25,12)自正交码的(16; 6; 3)-设计的分布。本文还介绍了嵌入式设计的代码之间的关系。

英文摘要:

Binary self-orthogonal codes and balanced incomplete block designs are two combinatorial configurations that have been much studied because of their wide areas of application. In this paper, we have shown the distribution of (16; 6; 3)-designs in binary (25,12) self-orthogonal codes. The paper also presents the relationships among the codes with embedded designs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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