A note on Quebbemann's extremal lattices of rank 64

DOI10.5802/jtnb.1229OpenAlexW3171637439MaRDI QIDQ2684410

Ichiro Shimada

Publication date: 16 February 2023

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

Full work available at URL: https://arxiv.org/abs/2106.04828

zbMATH Keywords

extremal lattice

Mathematics Subject Classification ID

Lattice packing and covering (number-theoretic aspects) (11H31) Automorphism groups of lattices (11H56)

Uses Software

• GAP

Cites Work

• Unnamed Item
• Some cyclo-quaternionic lattices
• An even extremal lattice of rank 64
• Ternary code construction of unimodular lattices and self-dual codes over \(\mathbb Z_6\)
• An application of Siegel's formula over quaternion orders
• A construction of integral lattices
• Positive definite unimodular lattices with trivial automorphism groups
• Definite Unimodular 48-Dimensional Quadratic Forms
• On the existence of extremal Type II ℤ_{2𝕜}-codes

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