Non-degenerate Linear Codes Determined by their Weight Enumerators

被引:0
作者
Takao Kato
机构
[1] Department of Mathematical Sciences,
[2] Faculty of Science,undefined
[3] Yamaguchi University,undefined
[4] Yamaguchi,undefined
[5] 753-8512,undefined
[6] Japan (e-mail: kato@yamaguchi-u.ac.jp),undefined
来源
Applicable Algebra in Engineering, Communication and Computing | 2003年 / 13卷
关键词
Linear Subspace; Linear Code; Projective System; Weight Enumerator;
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摘要
 In [1], Homma-Kim-Yoo showed that a code C such that the support of the associated projective system is a union of two linear subspaces, is uniquely determined up to equivalence by its weight enumerator. Let WC(z) be the weight enumerator of a code C. Assuming certain conditions on the coefficients of WC(z) for some range, we prove that the support of the associated projective system is a union of two linear subspaces.
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页码:475 / 484
页数:9
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