Non-degenerate Linear Codes Determined by their Weight Enumerators
被引:0
作者:
Takao Kato
论文数: 0引用数: 0
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机构:Department of Mathematical Sciences,
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;
D O I:
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学科分类号:
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.