New examples of MDS group codes

Djoko Suprijanto, Anthony
2015 Applied Mathematical Sciences  
A group code defined over a group G is a subset of G n which forms a group under componentwise group operation. In 1998, Zain and Rajan generalized the well known matrix characterization of MDS (Maximum Distance Separable) linear codes over finite fields to MDS group codes over finite abelian groups, using the notion of quasi-determinants defined for matrices over non-commutative rings. In this paper, we provide some concrete examples of MDS codes over finite abelian groups by using the above
more » ... trix characterization. Mathematics Subject Classification: 94B05, 94B60
doi:10.12988/ams.2015.53253 fatcat:zrdi4wmorfdzrkanssts3hxwoy