The linear programming bound for codes over finite Frobenius rings

Eimear Byrne; Marcus Greferath; Michael E. OSullivan

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The linear programming bound for codes over finite Frobenius rings

机译：有限Frobenius环上代码的线性规划界

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摘要

In traditional algebraic coding theory the linear-programming bound is one of the most powerful and restrictive bounds for the existence of both linear and non-linear codes. This article develops a linear-programming bound for block codes on finite Frobenius rings.

机译：在传统的代数编码理论中，线性编程边界是线性和非线性代码都存在的最强大和限制性的边界之一。本文开发了有限Frobenius环上块代码的线性编程边界。

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来源
《Designs, Codes and Crytography》 |2007年第3期|p.289-301|共13页
作者
Eimear Byrne; Marcus Greferath; Michael E. OSullivan;
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作者单位

School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
codes over rings; finite frobenius rings; homogeneous weights; linear-programming bound;

机译：环上的代码;有限的frobenius环;均匀权重;线性编程界;

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专利

1. Errata for 'The linear programming bound for codes over finite Frobenius rings' [J] . Eimear Byrne, Marcus Greferath, Michael E. OSullivan Designs, Codes and Crytography . 2007,第2期

机译：勘误表：“有限Frobenius环上代码的线性编程边界”
2. A Griesmer bound for linear codes over finite quasi-Frobenius rings [J] . Keisuke Shiromoto, Leo Storme Discrete Applied Mathematics . 2003,第1期

机译：有限拟Frobenius环上线性代码的Griesmer界
3. New bounds for codes over finite Frobenius rings [J] . Eimear Byrne, Marcus Greferath, Axel Kohnert, Designs, Codes and Crytography . 2010,第2期

机译：有限Frobenius环上代码的新界限
4. The linear programming bound for ternary linear codes [C] . Daskalov, R.N. . 1994

机译：三元线性码的线性规划界
5. Loop transversal codes over finite rings. [D] . Aydinyan, Ruben Hranti. 2005

机译：在有限环上循环遍历代码。
6. On the linear programming bound for linear Lee codes [O] . Helena Astola, Ioan Tabus -1

机译：关于线性Lee码的线性规划界
7. Errata for “The linear programming bound for codes over finite Frobenius rings” [O] . Eimear Byrne, Marcus Greferath, Michael E. O’Sullivan 2007

机译：“有限Frobenius环上的代码的线性编程界定的勘误表”

The linear programming bound for codes over finite Frobenius rings

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