On the existence of frames of the Niemeier lattices and self-dual codes over \(\mathbb F_p\)

DOI10.1016/j.jalgebra.2009.02.001zbMath1189.11035OpenAlexW2015607885MaRDI QIDQ1024394

Masaaki Harada

Publication date: 17 June 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.02.001

zbMATH Keywords

frameself-dual codeNiemeier lattices

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Lattices and convex bodies (number-theoretic aspects) (11H06) Relations with coding theory (11H71)

Related Items (2)

Replicable functions arising from code-lattice VOAs fixed by automorphisms ⋮ Understanding increments in model performance metrics

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on optimal unimodular lattices
• Niemeier lattices and Type II codes over \(\mathbb{Z}_4\)
• A new construction of lattices from codes over GF(3)
• \(\mathbb Z_{6}\)-code constructions of the Leech lattice and the Niemeier lattices.
• Definite quadratische Formen der Dimension 24 und Diskriminante 1
• Double circulant constructions of the Leech lattice
• Orthogonal frames in the Leech lattice and a type II code over \(\mathbb{Z}_{22}\)

This page was built for publication: On the existence of frames of the Niemeier lattices and self-dual codes over \(\mathbb F_p\)