New Extremal Type II Codes Over Z_4

Authors:
Masaaki Harada
Affiliations:
Department of Mathematics, Okayama University, Okayama 700, Japan
Venue:
Designs, Codes and Cryptography
Year:
1998

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Abstract

Recently Type II codes over Z_4have been introduced as self-dual codes containing the all-onevector with the property that all Euclidean weights are divisibleby eight. The notion of extremality for the Euclidean weighthas been also given. In this paper, we give two methods for constructingType II codes over Z_4. By these methods,new extremal Type II codes of lengths 16, 24, 32 and 40 are constructed from weighing matrices.