Title :
Negacyclic MDS codes over GR(2a,m)
Author :
Zhu, Shixin ; Kai, Xiaoshan ; Li, Ping
Author_Institution :
Dept. of Math., Hefei Univ. of Technol., Hefei, China
fDate :
June 28 2009-July 3 2009
Abstract :
Using Reed-Solomon codes and cyclic MDS codes of length 2m + 1 over F2m, we obtain several classes of negacyclic MDS codes over GR(2a, m) of lengths 2m - 1 and 2m + 1 as analogues of Hensel lifts of these codes.
Keywords :
Galois fields; Reed-Solomon codes; cyclic codes; GR; Galois ring; Hensel lift; Reed-Solomon code; maximum distance separable code; negacyclic MDS code; Binary codes; Code standards; Kernel; Linear code; Mathematics; Polynomials; Reed-Solomon codes;
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.2009.5205253
