Title :
Matrix characterization of near-MDS codes over Zm and Abelian groups
Author :
Viswanath, G. ; Rajan, B. Sundar
Author_Institution :
Dept. of Electr. Commun. Eng., Indian Inst. of Sci., Bangalore, India
fDate :
27 June-2 July 2004
Abstract :
In this paper we present a matrix characterization of AMDS codes and NMDS codes over Zm and Abelian groups. A linear code with the ring of integers modulo is a subset closed under all linear combinations. An AMDS code is said to be near-MDS if its dual code is also AMDS.
Keywords :
group codes; linear codes; matrix algebra; Abelian groups; almost-MDS code; integer modulo ring; linear code; matrix characterization; near-MDS codes; Hamming distance; Kernel; Linear code;
Conference_Titel :
Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
Print_ISBN :
0-7803-8280-3
DOI :
10.1109/ISIT.2004.1365565