Isodual Codes over ℤ2k and Isodual Lattices

Christine Bachoc; T. Aaron Gulliver; Masaaki Harada

doi:10.1023/A:1011259823212

Isodual Codes over ℤ_2k and Isodual Lattices

Christine Bachoc, T. Aaron Gulliver, Masaaki Harada

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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 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.

Original language	English
Pages (from-to)	223-240
Number of pages	18
Journal	Journal of Algebraic Combinatorics
Volume	12
Issue number	3
DOIs	https://doi.org/10.1023/A:1011259823212
Publication status	Published - 2000 Nov
Externally published	Yes

Keywords

Isodual codes over ℤ and double circulant codes department of electrical and computer engineering
Isodual lattices

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

Access to Document

10.1023/A:1011259823212

Cite this

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AB - 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 ℤ2k. These codes give rise to isodual lattices; in particular, we construct a 22-dimensional isodual lattice with minimum norm 3 and kissing number 2464.

KW - Isodual codes over ℤ and double circulant codes department of electrical and computer engineering

KW - Isodual lattices

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