DocumentCode :
1449989
Title :
Some Results on Cyclic Codes Over 
Author :
Zhu, Shixin ; Wang, Yu ; Shi, Minjia
Author_Institution :
Sch. of Math., Hefei Univ. of Technol., Hefei, China
Volume :
56
Issue :
4
fYear :
2010
fDate :
4/1/2010 12:00:00 AM
Firstpage :
1680
Lastpage :
1684
Abstract :
In this paper, we investigate the structure and properties of cyclic codes over the ring F 2+vF 2 . We first study the relationship between cyclic codes over F 2+vF 2 and binary cyclic codes. Then we prove that cyclic codes over the ring are principally generated, and give the generator polynomial of cyclic codes over the ring. Finally, we obtain the unique idempotent generators for cyclic codes of odd length and determine the number of cyclic codes for a given length n over F 2+vF 2.
Keywords :
cyclic codes; matrix algebra; polynomials; F2+vF2; binary cyclic codes; generator matrix; generator polynomial; gray map; Binary codes; Information theory; Laboratories; Linear code; Mathematics; Mobile communication; Modules (abstract algebra); Physics; Polynomials; Cyclic code; generator matrix; gray map; idempotent;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2010.2040896
Filename :
5437409
Link To Document :
