On classifying Minkowskian sublattices

DOI10.1090/S0025-5718-2011-02528-7zbMath1329.11071arXiv0904.3110OpenAlexW1995251210MaRDI QIDQ5389446

Achill Schürmann, Wolfgang Keller, Jacques Martinet

Publication date: 26 April 2012

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.3110

zbMATH Keywords

linear codesquadratic formsEuclidean lattices

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Relations with coding theory (11H71)

Related Items (3)

BASES OF MINIMAL VECTORS IN LATTICES, III ⋮ The hypermetric cone and polytope on eight vertices and some generalizations ⋮ On the number of perfect lattices

Uses Software

• Convex
• Polyhedral

Cites Work

• Optimality and uniqueness of the Leech lattice among lattices
• New upper bounds on sphere packings. I
• Reduction modulo 2 and 3 of Euclidean lattices
• BASES OF MINIMAL VECTORS IN LATTICES, III
• Classification of eight-dimensional perfect forms
• Lectures on Polytopes
• Isomorph-Free Exhaustive Generation
• Quaternary quadratic residue codes and unimodular lattices
• On the minimum points of a positive quadratic form
• Enumerating perfect forms
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