The Weight Distributions of the Duals of Cyclic Codes With Two Zeros

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 more cases.

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Bibliographic Details
Published in:	IEEE transactions on information theory Vol. 57; no. 12; pp. 8000 - 8006
Main Authors:	Ding, Cunsheng, Liu, Yang, Ma, Changli, Zeng, Liwei
Format:	Journal Article
Language:	English
Published:	New York, NY IEEE 01-12-2011 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Applied sciences Codes Coding, codes Computer aided software engineering 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 weight distribution weight enumerator Linear code weight enumerator Cyclic code linear codes weight distribution Cyclic codes Dual codes
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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 more cases.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0018-9448 1557-9654
DOI:	10.1109/TIT.2011.2165314