The Weight Enumerator of a Class of Cyclic Codes

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 distributi...

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Bibliographic Details
Published in:IEEE transactions on information theory 2011-01, Vol.57 (1), p.397-402
Main Authors: Ma, Changli, Zeng, Liwei, Liu, Yang, Feng, Dengguo, Ding, Cunsheng
Format: Article
Language:English
Subjects:
Additives
Applied sciences
Block codes
Coding theory
Coding, codes
Cyclic codes
Exact sciences and technology
Generators
Hamming weight
Information theory
Information, signal and communications theory
Linear code
linear codes
Polynomials
Signal and communications theory
Telecommunications and information theory
Vectors
Weight
weight distribution
weight enumerator
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Summary: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.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2010.2090272