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New examples of MDS group codes
2015
Applied Mathematical Sciences
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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
doi:10.12988/ams.2015.53253
fatcat:zrdi4wmorfdzrkanssts3hxwoy