DocumentCode
113177
Title
Optimal Cyclic Codes With Generalized Niho-Type Zeros and the Weight Distribution
Author
Maosheng Xiong ; Nian Li
Author_Institution
Dept. of Math., Hong Kong Univ. of Sci. & Technol., Hong Kong, China
Volume
61
Issue
9
fYear
2015
fDate
Sept. 2015
Firstpage
4914
Lastpage
4922
Abstract
In this paper, we extend two earlier works further in two directions and compute the weight distribution of these cyclic codes under more relaxed conditions. It is interesting to note that many cyclic codes in the family are optimal and have only a few non-zero weights. Besides using similar ideas, we carry out some subtle manipulation of certain exponential sums.
Keywords
cyclic codes; polynomials; exponential sums; generalized Niho-type zeros; generator polynomial; optimal cyclic codes; parity-check polynomial; weight distribution; Additives; Electronic mail; Hamming weight; Indexes; Linear codes; Polynomials; Standards; Cyclic codes; Niho exponent; Vandermonde matrix; weight distribution;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2015.2451657
Filename
7145453
Link To Document