An Optimal Unimodular Lattice in Dimension 39

T. Aaron Gulliver; Masaaki Harada

doi:10.1006/jcta.1999.2968

An Optimal Unimodular Lattice in Dimension 39

T. Aaron Gulliver, Masaaki Harada

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

3 Citations (Scopus)

Abstract

In this note, we construct a 39-dimensional optimal unimodular lattice with minimum norm 4 from a Euclidean-optimal self-dual code of length 39 over ℤ₄. These are the first examples of a 39-dimensional unimodular lattice with minimum norm 4 and a self-dual ℤ₄-code of length 39 with minimum Euclidean weight 16.

Original language	English
Pages (from-to)	158-161
Number of pages	4
Journal	Journal of Combinatorial Theory. Series A
Volume	88
Issue number	1
DOIs	https://doi.org/10.1006/jcta.1999.2968
Publication status	Published - 1999 Oct
Externally published	Yes

Keywords

Self-dual codes over ℤ
Unimodular lattices

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1006/jcta.1999.2968

Cite this

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title = "An Optimal Unimodular Lattice in Dimension 39",

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AB - In this note, we construct a 39-dimensional optimal unimodular lattice with minimum norm 4 from a Euclidean-optimal self-dual code of length 39 over ℤ4. These are the first examples of a 39-dimensional unimodular lattice with minimum norm 4 and a self-dual ℤ4-code of length 39 with minimum Euclidean weight 16.

KW - Self-dual codes over ℤ

KW - Unimodular lattices

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An Optimal Unimodular Lattice in Dimension 39

Abstract

Keywords

ASJC Scopus subject areas

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