Three-weight cyclic codes and their weight distributions

Cyclic codes have been an important topic of both mathematics and engineering for decades. They have been widely used in consumer electronics, data transmission technologies, broadcast systems, and computer applications as they have efficient encoding and decoding algorithms. The objective of this p...

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Bibliographic Details
Published inDiscrete mathematics Vol. 339; no. 2; pp. 415 - 427
Main Authors Ding, Cunsheng, Li, Chunlei, Li, Nian, Zhou, Zhengchun
Format Journal Article
LanguageEnglish
Published Elsevier B.V 06.02.2016
Subjects
Cyclic codes
Linear codes
Permutation monomials
Weight distribution
Linear codes
Weight distribution
Permutation monomials
Cyclic codes
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Summary:Cyclic codes have been an important topic of both mathematics and engineering for decades. They have been widely used in consumer electronics, data transmission technologies, broadcast systems, and computer applications as they have efficient encoding and decoding algorithms. The objective of this paper is to provide a survey of three-weight cyclic codes and their weight distributions. Information about the duals of these codes is also given when it is available.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2015.09.001