Construction of some perfect integral lattices with minimum 4

Abstract : We construct several families of perfect sublattices with minimum $4$ of $\mathbb Z^d$. In particular, the number of $d-$dimensional perfect integral lattices with minimum $4$ grows faster than $d^k$ for every exponent $k$.
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https://hal.archives-ouvertes.fr/hal-00931612
Contributor : Roland Bacher <>
Submitted on : Monday, October 19, 2015 - 2:21:00 PM
Last modification on : Monday, April 30, 2018 - 3:02:01 PM
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  • HAL Id : hal-00931612, version 2
  • ARXIV : 1401.3601

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Roland Bacher. Construction of some perfect integral lattices with minimum 4. Journal de Théorie des Nombres de Bordeaux, Société Arithmétique de Bordeaux, 2015, 27 (3). ⟨hal-00931612v2⟩

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