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Codes closed under arbitrary abelian group of permutations

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2 Author(s)
Dey, B.K. ; Dept. of Electr. Commun. Eng., Indian Inst. of Sci., Bangalore, India ; Rajan, B.S.

Algebraic structure of codes closed under arbitrary abelian group G of permutations is investigated resulting in insight into dual of G-invariant codes and self-dual G-invariant codes. For special types of the groups, these codes give cyclic, abelian, quasi-cyclic and quasi-abelian codes. Karlin's decoding algorithm for systematic one-generator quasicyclic codes is extended for systematic quasi-abelian codes with any number of generators.

Published in:

Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on

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