自对偶循环码在素数4 + u素数4上

2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA) Pub Date : 2015-09-01 DOI:10.1109/IWSDA.2015.7458414

R. Luo, P. Udaya

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引用次数: 1

摘要

本文研究了环Λ = 0 4 + u 0 4上的自对偶循环码的结构。这个环Λ是一个局部的Frobenius环，而不是链环。我们刻画了奇长n / Λ的自对偶循环码。所得结果可用于构造一些最优的二进制、四元循环码和自对偶码。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Self-dual cyclic codes over ℤ4 + uℤ4

In this paper we study the structure of self-dual cyclic codes over the ring Λ = ℤ₄ + uℤ₄. The ring Λ is a local Frobenius ring but not a chain ring. We characterize self-dual cyclic codes of odd length n over Λ. The results can be used to construct some optimal binary, quaternary cyclic and self-dual codes.

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来源期刊

2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA)

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