河北师范大学学报—

期刊信息

刊名：河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
主办：河北师范大学
ISSN： 1000-5854
CN： 13-1061/N
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H(n,3)上紧相对2设计的一组正交基

李丽军¹

赵晓雪²

1. 河北政法职业学院财经管理系, 河北石家庄 050064;
2. 河北师范大学数学与信息科学学院, 河北石家庄 050024
DOI： 10.13763/j.cnki.jhebnu.nse.2016.01.001

An Orthogonal Base for the Tight Relative 2-designs in H(n,3)

LI Lijun¹, ZHAO Xiaoxue²

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摘要/Abstract

摘要：

研究了Hamming结合方案H(n,3)上被2个壳S所支撑的紧相对 2-设计.向量空间L₀(S)+L₁(S)对紧相对 2-设计的构作和分类起到重要作用.构作了L₀(S)+L₁(S)的一组正交基.

Abstract：

In this paper,we study the tight relative 2-designs on 2 shells in Hamming association schemes H(n,3).The vector space L₀(S)+L₁(S) play an important role in the construction and classification of the tignt relative 2-designs.We construct an orthogonal base for the space L₀(S)+L₁(S).

关键词

关键词： Hamming结合方案 ; 相对t 设计 ; 正交基

Key words： Hamming association scheme ; relative t-design ; orthogonal base

参考文献 10

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