循环码在4 + u4上

2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA) Pub Date : 2015-09-01 DOI:10.1109/IWSDA.2015.7458411

R. Bandi, Maheshanand Bhaintwal

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引用次数: 5

摘要

本文研究了环R = 4 + u4, u2 = 0上的循环码。讨论了R的伽罗瓦环扩展及其理想结构。我们研究了R上奇数长度的循环码，并给出了R上有n个单位根项的1-生成循环码。给出了一些例子来说明结果。

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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Cyclic codes over ℤ4 + uℤ4

In this paper, we study cyclic codes over the ring R = ℤ₄ + uℤ₄, u² = 0. We discuss the Galois ring extensions of R and the ideal structure of these extensions. We have studied cyclic codes of odd lengths over R and also presented 1-generator cyclic codes over R interms nth roots of unity. Some examples are given to illustrate the results.

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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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