A Note on Optimal Unimodular Lattices

22Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.

This article is free to access.

Abstract

The highest possible minimal norm of a unimodular lattice is determined in dimensionsn≤33. There are precisely five odd 32-dimensional lattices with the highest possible minimal norm (compared with more than 8.1020in dimension 33). Unimodular lattices with no roots exist if and only ifn≥23,n≠25. © 1998 Academic Press.

Cite

CITATION STYLE

APA

Conway, J. H., & Sloane, N. J. A. (1998). A Note on Optimal Unimodular Lattices. Journal of Number Theory, 72(2), 357–362. https://doi.org/10.1006/jnth.1998.2257

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free