6-code constructions of the Leech lattice and the Niemeier lattices

Masaaki Harada, Masaaki Kitazume

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In this paper, we construct many new extremal Type II ℤ6- codes of length 24, and consequently we show that there is at least one extremal Type II ℤ6-code C of length 24 such that the binary and ternary reductions of C are B and T, respectively, for every binary Type II code B and every extremal ternary self-dual code T. These codes give more ℤ6-code constructions of the Leech lattice. It is also shown that every Niemeier lattice contains a (4k2 + 2k + 6)-frame for every integer k.

Original languageEnglish
Pages (from-to)573-581
Number of pages9
JournalEuropean Journal of Combinatorics
Volume23
Issue number5
DOIs
Publication statusPublished - 2002 Jul

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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