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

Authors:
Christine Bachoc;T. Aaron Gulliver;Masaaki Harada
Affiliations:
Laboratoire d'Algorithmique Arithmétique, 351, Cours de la Libération, F-33405 Talence, France.;Department of Electrical and Electronic Engineering, University of Canterbury, Private Bag 4800, Christchurch, New Zealand;Department of Mathematical Sciences, Yamagata University, Yamagata 990-8560, Japan
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
2000

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Abstract

A code is called isodual if it is equivalent to its dual code, and a lattice is called isodual if it is isometric to its dual lattice. In this note, we investigate isodual codes over {\bb Z}_{2k}. These codes give rise to isodual lattices; in particular, we construct a 22-dimensional isodual lattice with minimum norm 3 and kissing number 2464.