Double circulant self-dual codes over Z2k

Authors:
T. A. Gulliver;M. Harada
Affiliations:
Dept. of Electr. & Electron. Eng., Canterbury Univ., Christchurch;-
Venue:
IEEE Transactions on Information Theory
Year:
2006

Citing 0
Cited 3

Isodual Codes over {\bb Z}_{2k} and Isodual Lattices

Journal of Algebraic Combinatorics: An International Journal
On Senary Simplex Codes

AAECC-14 Proceedings of the 14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
On the Hamming Weight Enumerators of Self-Dual Codes over Zk

Finite Fields and Their Applications

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Abstract

Recently there has been tremendous interest in self-dual codes over finite rings, specifically the rings Z2k. In this paper, we investigate double circulant self-dual codes over Z2k for small k and short lengths. In particular, we give a classification of the extremal double circulant codes. Using invariant theory, a basis for the space of invariants to which the Hamming weight enumerators belong is given for self-dual codes over Z6, Z8, Z10 , and Z12