On the extendability of linear codes

被引：23

作者：

Maruta, T ^{[1
]}

机构：

[1] Aichi Prefectural Univ, Dept Informat Syst, Nagakute, Aichi 4801198, Japan

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2001年 / 7卷 / 02期

关键词：

extension of linear codes; uniqueness of linear codes; projective geometry over GF(q);

D O I：

10.1006/ffta.2001.0296

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

R. Hill and P. Lizak (1995, in "Proc. IEEE Int. Symposium on Inform. Theory, Whistler, Canada," pp. 345) proved that every [n, k,d](q) code with gcd(d, q) = 1 and with all weights congruent to 0 or d (modulo q) is extendable to an [n + 1, k, d + 1](q) code with all weights congruent to 0 or d + 1 (modulo q). We give another elementary geometrical proof of this theorem, which also yields the uniqueness of the extension. (C) 2001 Academic Press.

引用

页码：350 / 354

页数：5

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