Isodual Codes over ℤ2k and Isodual Lattices

Christine Bachoc, T. Aaron Gulliver, Masaaki Harada

Research output: Contribution to journalArticlepeer-review

8 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 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.

Original languageEnglish
Pages (from-to)223-240
Number of pages18
JournalJournal of Algebraic Combinatorics
Volume12
Issue number3
DOIs
Publication statusPublished - 2000 Nov

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

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