Quasideterminant Characterization of MDS Group Codes over Abelian Groups

A group code defined over a group G is a subset of Gn which forms a group under componentwise group operation. The well known matrix characterization of MDS (Maximum Distance Separable) linear codes over finite fields is generalized to MDS group codes over abelian groups, using the notion of quasideterminants defined for matrices over non-commutative rings.

• Type: Journal
• Year: 1998
• Where: DCC
• Authors: A. A. Zain, B. Sundar Rajan
• Keywords: Componentwise Group Operation, Computer Graphics, DCC 1998, Group, Group Code