English

Construction of some perfect integral lattices with minimum 4

Combinatorics 2015-10-20 v2 Number Theory

Abstract

We construct several families of perfect sublattices with minimum 44 of Zd\mathbb Z^d. In particular, the number of dd-dimensional perfect integral lattices with minimum 44 grows faster than dkd^k for every exponent kk.

Keywords

Cite

@article{arxiv.1401.3601,
  title  = {Construction of some perfect integral lattices with minimum 4},
  author = {Roland Bacher},
  journal= {arXiv preprint arXiv:1401.3601},
  year   = {2015}
}

Comments

Final version, to appear in Journal de Th{\'e}orie des Nombres de Bordeaux