Optimal Double Circulant Z4-Codes

Authors:
T. Aaron Gulliver;Masaaki Harada
Affiliations:
-;-
Venue:
AAECC-14 Proceedings of the 14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Year:
2001

Citing 6
Cited 0

Self-dual codes over the integers modulo 4

Journal of Combinatorial Theory Series A
Classification of Extremal Double Circulant Formally Self-DualEven Codes

Designs, Codes and Cryptography
On the optimal Z4 codes of type II and length 16

Journal of Combinatorial Theory Series A
Isodual Codes over {\bb Z}_{2k} and Isodual Lattices

Journal of Algebraic Combinatorics: An International Journal
Quaternary quadratic residue codes and unimodular lattices

IEEE Transactions on Information Theory
Bounds for Self-Dual Codes Over Z4

Finite Fields and Their Applications

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Abstract

Recently,an optimal formally self-dual Z4-code of length 14 and minimum Lee weight 6 has been found using the double circulant construction by Duursma, Greferath and Schmidt. In this paper, we classify all optimal double circulant Z4-codes up to length 32. In addition, double circulant codes with the largest minimum Lee weights for this class of codes are presented for lengths up to 32.