On sublattices of the hexagonal lattice

DOI10.1016/0012-365X(95)00354-YzbMath0872.94009OpenAlexW2008081984WikidataQ60692069 ScholiaQ60692069MaRDI QIDQ1363651

O. Diekmann

Publication date: 10 August 1997

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

Full work available at URL: https://doi.org/10.1016/0012-365x(95)00354-y

zbMATH Keywords

signal-to-noise ratiosublatticespacking densityplanar hexagonal lattice

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Modulation and demodulation in information and communication theory (94A14) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Related Items

On similarity classes of well-rounded sublattices of \(\mathbb Z^2\), Commutative group codes in \(\mathbb R^4\), \(\mathbb R^6\), \(\mathbb R^8\) and \(\mathbb R^{16}\)-approaching the bound, A note on suborthogonal lattices, Counting orbifolds, CLASSIFICATION OF THE SUBLATTICES OF A LATTICE, An introduction to counting orbifolds, On well-rounded sublattices of the hexagonal lattice, On integral well-rounded lattices in the plane, Colouring proximity graphs in the plane

Uses Software

• OEIS

Cites Work

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• Penny-packing and two-dimensional codes
• Penny-packings with minimal second moments
• Minimal-energy clusters of hard spheres
• Construction and enumeration of regular maps on the torus
• On a problem of Rankin about the Epstein zeta-function
• A lemma about the Epstein zeta-function
• Notes on two lemmas concerning the Epstein zeta-function
• Tables of genera of groups of linear fractional transformations
• A Minimum Problem for the Epstein Zeta-Function