The Weight Enumerator of a Class of Cyclic Codes

The Weight Enumerator of a Class of Cyclic Codes
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DOI:
10.1109/tit.2010.2090272
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发表时间:
2011
影响因子:
2.5
通讯作者:
Changli Ma;Liwei Zeng;Yang Liu;D. Feng;C. Ding
Changli Ma;Liwei Zeng;Yang Liu;D. Feng;C. Ding
中科院分区:
计算机科学2区
文献类型:
--
作者:
Changli Ma;Liwei Zeng;Yang Liu;D. Feng;C. Ding

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具有两个零的循环码及其对偶码多年来一直是研究的主题。然而,它们的重量分布仅在少数情况下为人所知。本文给出了几种情况下二零循环码对偶码的重量分布。对于几种特殊情况,还确定了这些码的删余版本的重量分布。
Cyclic codes with two zeros and their dual codes have been a subject of study for many years. However, their weight distributions are known only for a few cases. In this paper, the weight distributions of the duals of the cyclic codes with two zeros are settled for a few cases. The weight distributions of punctured versions of these codes are also determined for several special cases.