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Minima of Odd Unimodular Lattices in Dimension 24m

✍ Scribed by Mark Gaulter

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 147 KB
Volume: 91
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.2001.2670

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✦ Synopsis

Rains and Sloane established that the minimum of a unimodular Z-lattice in dimension 24m is bounded above by 2m+2. They conjectured that only even lattices could attain this bound. In this paper, I prove their conjecture.

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