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Consta-Abelian polyadic codes

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1 Author(s)
Chong Jie Lim ; Dept. of Math., Nat. Univ. of Singapore

In this correspondence, the class of polyadic codes is generalized to the class of consta-Abelian polyadic codes, which, in particular, includes the class of constacyclic polyadic codes. Properties such as the equivalence of polyadic codes and the mth-root lower bound for the minimum weight of a subcode of certain types of polyadic codes are preserved in the consta-Abelian case. Sufficient conditions for the existence of this class of codes are established. For the special case of constacyclic codes, the characterization of negacyclic self-dual codes of length coprime to the characteristic of the field in terms of negacyclic duadic codes is also given

Published in:

Information Theory, IEEE Transactions on  (Volume:51 ,  Issue: 6 )

Date of Publication:

June 2005

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