DocumentCode
1763659
Title
A Family of Five-Weight Cyclic Codes and Their Weight Enumerators
Author
Zhengchun Zhou ; Cunsheng Ding ; Jinquan Luo ; Aixian Zhang
Author_Institution
Sch. of Math., Southwest Jiaotong Univ., Chengdu, China
Volume
59
Issue
10
fYear
2013
fDate
Oct. 2013
Firstpage
6674
Lastpage
6682
Abstract
Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data storage systems, and communication systems as they have efficient encoding and decoding algorithms. In this paper, a family of p-ary cyclic codes whose duals have three pairwise nonconjugate zeros is proposed. The weight distribution of this family of cyclic codes is determined. It turns out that the proposed cyclic codes have five nonzero weights.
Keywords
cyclic codes; linear codes; consumer electronics; data storage systems; decoding algorithms; encoding algorithms; five weight cyclic codes; linear codes; nonconjugate zeros; nonzero weights; p-ary cyclic codes; weight distribution; weight enumerators; Cryptography; Educational institutions; Generators; Linear codes; Mathematical model; Polynomials; Cyclic codes; exponential sum; quadratic form; weight distribution; weight enumerator;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2013.2267722
Filename
6529207
Link To Document