On the construction and labelling of geometrically uniform signal sets in \(\mathbb R^{2}\) matched to additive quotient groups

DOI10.1007/s12190-008-0038-3zbMath1150.94003OpenAlexW1995846749MaRDI QIDQ949289

Edson Donizete De Carvalho, Marcelo Firer, Reginaldo jun. Palazzo

Publication date: 21 October 2008

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0038-3

zbMATH Keywords

latticessignal setsgeometrically uniform codesinteger ringMannheim metricmatched labelling

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Lattice ideals, congruence relations (06B10) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (2)

On geometrically uniform codes and topological quantum MDS codes ⋮ Edge-pairing isometries and counting Dirichlet domains on the densest tessellation \(\{12g-6,3\}\) for signal set design

Cites Work

• Unnamed Item
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• Geometrically uniform codes
• Graphs, Tessellations, and Perfect Codes on Flat Tori
• Signal sets matched to groups
• Codes over Gaussian integers
• Lattice constellations and codes from quadratic number fields

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