DocumentCode
91835
Title
Weight Distribution of a Class of Cyclic Codes With Arbitrary Number of Zeros
Author
Jing Yang ; Maosheng Xiong ; Cunsheng Ding ; Jinquan Luo
Author_Institution
Dept. of Math. Sci., Tsinghua Univ., Beijing, China
Volume
59
Issue
9
fYear
2013
fDate
Sept. 2013
Firstpage
5985
Lastpage
5993
Abstract
Cyclic codes have been widely used in digital communication systems and consumer electronics as they have efficient encoding and decoding algorithms. The weight distribution of cyclic codes has been an important topic of study for many years. It is in general hard to determine the weight distribution of linear codes. In this paper, a class of cyclic codes with any number of zeros is described and their weight distributions are determined.
Keywords
cyclic codes; decoding; encoding; linear codes; arbitrary number; consumer electronics; cyclic codes; decoding algorithms; digital communication systems; encoding algorithms; linear codes; weight distribution; zeros; Additives; Educational institutions; Generators; Indexes; Laboratories; Linear codes; Polynomials; Cyclic codes; Gaussian periods; linear codes; weight distribution;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2013.2266731
Filename
6525372
Link To Document