Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15.

DOI10.5802/jtnb.830zbMath1271.11069OpenAlexW2326991173MaRDI QIDQ1953843

Elisabeth Nossek, Gabriele Nebe, Boris B. Venkov

Publication date: 11 June 2013

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/jtnb.830

zbMATH Keywords

spherical designsdual strongly perfect latticesextreme latticesstrongly perfect lattices

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items

Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15. ⋮ Low dimensional strongly perfect lattices. IV: The dual strongly perfect lattices of dimension 16

Uses Software

• Magma
• SageMath

Cites Work

• Unnamed Item
• Unnamed Item
• Low-dimensional strongly perfect lattices. I: The 12-dimensional case
• The Magma algebra system. I: The user language
• New upper bounds on sphere packings. I
• Improved linear programming bounds for antipodal spherical codes.
• Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15.
• Spherical designs and zeta functions of lattices
• LOW-DIMENSIONAL STRONGLY PERFECT LATTICES. III: DUAL STRONGLY PERFECT LATTICES OF DIMENSION 14
• The strongly perfect lattices of dimension 10