The weight enumerator of a class of cyclic codes

Changli Ma; Liwei Zeng; Yang Liu; Dengguo Feng; Cunsheng Ding

doi:10.1109/TIT.2010.2090272

The weight enumerator of a class of cyclic codes

Changli Ma^*, Liwei Zeng, Yang Liu, Dengguo Feng, Cunsheng Ding

^*Corresponding author for this work

Department of Computer Science and Engineering

Research output: Contribution to journal › Journal Article › peer-review

75 Citations (Scopus)

Abstract

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.

Original language	English
Article number	5673757
Pages (from-to)	397-402
Number of pages	6
Journal	IEEE Transactions on Information Theory
Volume	57
Issue number	1
DOIs	https://doi.org/10.1109/TIT.2010.2090272
Publication status	Published - Jan 2011

Keywords

Cyclic codes
linear codes
weight distribution
weight enumerator

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10.1109/TIT.2010.2090272

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title = "The weight enumerator of a class of cyclic codes",

abstract = "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.",

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author = "Changli Ma and Liwei Zeng and Yang Liu and Dengguo Feng and Cunsheng Ding",

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AU - Ma, Changli

AU - Zeng, Liwei

AU - Liu, Yang

AU - Feng, Dengguo

AU - Ding, Cunsheng

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Y1 - 2011/1

N2 - 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.

AB - 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.

KW - Cyclic codes

KW - linear codes

KW - weight distribution

KW - weight enumerator

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UR - https://www.scopus.com/pages/publications/78650866726

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DO - 10.1109/TIT.2010.2090272

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JO - IEEE Transactions on Information Theory

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The weight enumerator of a class of cyclic codes

Abstract

Keywords

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