DocumentCode
1792
Title
Five Families of Three-Weight Ternary Cyclic Codes and Their Duals
Author
Cunsheng Ding ; Ying Gao ; Zhengchun Zhou
Author_Institution
Dept. of Comput. Sci. & Eng., Hong Kong Univ. of Sci. & Technol., Kowloon, China
Volume
59
Issue
12
fYear
2013
fDate
Dec. 2013
Firstpage
7940
Lastpage
7946
Abstract
As a subclass of linear codes, cyclic codes have applications in consumer electronics, data storage systems, and communication systems as they have efficient encoding and decoding algorithms. In this paper, five families of three-weight ternary cyclic codes whose duals have two zeros are presented. The weight distributions of the five families of cyclic codes are settled. The duals of two families of the cyclic codes are optimal.
Keywords
cyclic codes; dual codes; linear codes; ternary codes; communication system; consumer electronics; data storage system; decoding algorithm; dual code; encoding algorithm; linear code; ternary cyclic code; weight distribution; Cryptography; Educational institutions; Generators; Hamming weight; Linear code; Polynomials; Cyclic codes; frequency hopping sequences; secret sharing; weight distribution; weight enumerator;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2013.2281205
Filename
6594807
Link To Document