Title :
Cyclic codes over F2 + vF2
Author :
Zhu, Shi-Xin ; Wang, Yu ; Shi, Min-Jia
Author_Institution :
Dept. of Appl. Math., Hefei Univ. of Technol., Hefei, China
fDate :
June 28 2009-July 3 2009
Abstract :
In this paper, we investigate the structure and properties of cyclic codes over the ring F2 + vF2. We first study the relationship between cyclic codes over F2 + vF2 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 over F2 + vF2.
Keywords :
binary codes; cyclic codes; polynomials; binary cyclic codes; generator polynomial; unique idempotent generators; Binary codes; Code standards; Linear code; Mathematics; Modules (abstract algebra); Cyclic code; Generator matrix; Gray map; Idempotent;
Conference_Titel :
Information Theory, 2009. ISIT 2009. IEEE International Symposium on
Conference_Location :
Seoul
Print_ISBN :
978-1-4244-4312-3
Electronic_ISBN :
978-1-4244-4313-0
DOI :
10.1109/ISIT.2009.5205757
