Geodesic
Type II self-dual codes over finite rings and even unimodular lattices
Journal of Algebraic Combinatorics, Tome 9 (1999) no. 3, pp. 233-250.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we investigate self-dual codes over finite rings, specifically the ring $\mathbb Z _{2 $^ m mathbbZ_2^m of integers modulo 2m. Type II codes over $\mathbb Z _{2 $^ m mathbbZ_2^m are introduced as self-dual codes with Euclidean weights which are a multiple of 2m +1. We describe a relationship between Type II codes and even unimodular lattices. This relationship provides much information on Type II codes. Double circulant Type II codes over $\mathbb Z _{2 $^ m mathbbZ_2^m are also studied.
Classification : !!par!!Code, d5(0), d5(16), d5(32), d5(48), d5(64), d5(80), d5(96), d5(112), d5(128), C8
Keywords: self-dual code over finite ring, type II code, double circulant code, even unimodular lattice 
@article{JAC_1999__9_3_a4,
     author = {Dougherty, Steven T. and Gulliver, T.Aaron and Harada, Masaaki},
     title = {Type {II} self-dual codes over finite rings and even unimodular lattices},
     journal = {Journal of Algebraic Combinatorics},
     pages = {233--250},
     publisher = {mathdoc},
     volume = {9},
     number = {3},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_1999__9_3_a4/}
}
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Dougherty, Steven T.; Gulliver, T.Aaron; Harada, Masaaki. Type II self-dual codes over finite rings and even unimodular lattices. Journal of Algebraic Combinatorics, Tome 9 (1999) no. 3, pp. 233-250. http://geodesic.mathdoc.fr/item/JAC_1999__9_3_a4/