A NOTE ON OPTIMAL UNIMODULAR LATTICES

Authors
CONWAY JH SLOANE NJA
Citation
Jh. Conway et Nja. Sloane, A NOTE ON OPTIMAL UNIMODULAR LATTICES, Journal of number theory (Print), 72(2), 1998, pp. 357-362
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
Journal of number theory (Print) → ACNP
ISSN journal
0022314X
Volume
72
Issue
2
Year of publication
1998
Pages
357 - 362
Database
ISI
SICI code
0022-314X(1998)72:2<357:ANOOUL>2.0.ZU;2-U
Abstract
The highest possible minimal norm of a unimodular lattice is determine d in dimensions n less than or equal to 33. There are precisely five o dd 32-dimensional lattices with the highest possible minimal norm (com pared with more than 8.10(20) in dimension 33). Unimodular lattices wi th no roots exist if and only if n greater than or equal to 23, n not equal 25. (C) 1998 Academic Press.