Codes over GF(4) and complex lattices

DOI10.1016/0021-8693(78)90266-1zbMath0376.94009OpenAlexW2087240680MaRDI QIDQ1246504

N. J. A. Sloane

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90266-1

Mathematics Subject Classification ID

Structure theory of lattices (06B05) Lattice packing and covering (number-theoretic aspects) (11H31) Theory of error-correcting codes and error-detecting codes (94B99)

Related Items

The theta functions of sublattices of the Leech lattice, Lattices with theta functions for G(\(\sqrt{2})\) and linear codes, Self-dual lattices of type \(A\), Code loops and even codes over \({\mathbb{F}}_ 4\), Modular forms on the Fricke group, Codes over $\mathbf {GF\pmb (4\pmb )}$ and $\mathbf {F}_2 \times \mathbf {F}_2$ and Hermitian lattices over imaginary quadratic fields, On the Voronoi Regions of Certain Lattices, Modular lattices from a variation of construction A over number fields, Eisenstein lattices, Galois rings, and theta series., Codes over rings of size four, Hermitian lattices, and corresponding theta functions, Some lattices over \(Q(\sqrt{-3})^*\), The Coxeter–Todd lattice, the Mitchell group, and related sphere packings, Further lattice packings in high dimensions, A gluing technique for constructing relatively self-dual codes

Uses Software

• MACSYMA

Cites Work

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