Commutative group codes in \(\mathbb R^4\), \(\mathbb R^6\), \(\mathbb R^8\) and \(\mathbb R^{16}\)-approaching the bound

DOI10.1016/j.disc.2013.04.005zbMath1339.94095OpenAlexW80223295MaRDI QIDQ389991

Carina Alves, Sueli I. R. Costa

Publication date: 22 January 2014

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2013.04.005

zbMATH Keywords

group codeslatticesminimum distancepacking densityspherical codes

Mathematics Subject Classification ID

Bounds on codes (94B65) Other types of codes (94B60)

Related Items (1)

A note on suborthogonal lattices

Cites Work

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• Flat tori, lattices and bounds for commutative group codes
• On sublattices of the hexagonal lattice
• Optimum commutative group codes
• Double circulant constructions of the Leech lattice
• Graphs, Tessellations, and Perfect Codes on Flat Tori
• Curves on a sphere, shift-map dynamics, and error control for continuous alphabet sources
• Signal sets matched to groups
• Cyclic-group codes for the Gaussian channel (Corresp.)
• On the trellis complexity of root lattices and their duals
• The octonions
• Group Codes for the Gaussian Channel

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