Quasideterminant Characterization of MDS Group Codes over Abelian Groups |
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| Authors: | A A Zain B Sundar Rajan |
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| Institution: | (1) Dept. of Electrical Engineering, Indian Institute of Technology, Delhi, Hauz Khas, New Delhi, 110 016, India |
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| Abstract: | 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. |
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| Keywords: | group codes maximum distance separable codes quasideterminants non-commutative rings |
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