The Leech lattice-Reference-Cited by-同舟云学术

The Leech lattice

Published:1985-04-09 Issue:1815 Volume:398 Page:365-376
ISSN:0080-4630
Container-title:Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
language:en
Short-container-title:Proc. R. Soc. Lond. A

Author:

Abstract

New proofs of several known results about the Leech lattice are given. In particular I prove its existence and uniqueness and prove that its covering radius is the square root of 2. I also give a uniform proof that the 23 ‘holy constructions’ of the Leech lattice all work.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1985.0039

Reference7 articles.

1. A characterisation of Leech's lattice

2. The automorphism group of the 26-dimensional even unimodular Lorentzian lattice

3. The covering radius of the Leech lattice

4. Twenty-three constructions for the Leech lattice

5. L orentzian forms for the Leech lattice. Bull. A m;Conway J .;Math. Soc.,1982

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