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An Optimal Unimodular Lattice in Dimension 39

✍ Scribed by T.Aaron Gulliver; Masaaki Harada

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 75 KB
Volume: 88
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.1999.2968

No coin nor oath required. For personal study only.

✦ Synopsis

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 Z 4 . These are the first examples of a 39-dimensional unimodular lattice with minimum norm 4 and a self-dual Z 4 -code of length 39 with minimum Euclidean weight 16.

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