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
Online Access	Get full text
ISSN	0018-9448 1557-9654
DOI	10.1109/TIT.2011.2165314

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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:	SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23
ISSN:	0018-9448 1557-9654
DOI:	10.1109/TIT.2011.2165314