Zain, A. A. ; Sundar Rajan, B. (1998) Quasideterminant characterization of MDS group codes over Abelian groups Designs, Codes and Cryptography, 13 (3). pp. 313-330. ISSN 0925-1022
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Official URL: https://link.springer.com/article/10.1023/A:100821...
Related URL: http://dx.doi.org/10.1023/A:1008214310938
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer-Verlag. |
| Keywords: | Group Codes; Maximum Distance; Separable Codes; Quasideterminants; Non-Commutative Rings |
| ID Code: | 108069 |
| Deposited On: | 08 Dec 2017 10:15 |
| Last Modified: | 08 Dec 2017 10:15 |
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