Isodual codes over Z2k and isodual lattices

被引：12

作者：

Bachoc, C

Gulliver, TA

Harada, M

机构：

[1] Lab Algorithm Arithmet, F-33405 Talence, France

[2] Univ Canterbury, Dept Elect & Elect Engn, Christchurch 1, New Zealand

[3] Yamagata Univ, Dept Math Sci, Yamagata 9908560, Japan

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2000年 / 12卷 / 03期

关键词：

isodual lattices; isodual codes over Z(k) and double circulant codes;

D O I：

10.1023/A:1011259823212

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 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.

引用

页码：223 / 240

页数：18

共 11 条

[1] Type II codes, even unimodular lattices, and invariant rings [J].