Fuchsian codes with arbitrarily high code rates
From MaRDI portal
Publication:886965
DOI10.1016/j.jpaa.2015.06.005zbMath1378.94081arXiv1410.6094OpenAlexW1851387057MaRDI QIDQ886965
Dionís Remón, Camilla Hollanti, Iván Blanco-Chacón, Montserrat Alsina
Publication date: 27 October 2015
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.6094
Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Other types of codes (94B60) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)
Related Items
On geometrically uniform codes and topological quantum MDS codes ⋮ Uniformization of hyperelliptic curves as a systematic approach to establishing decision regions of hyperbolic signal sets
Cites Work
- Unnamed Item
- Unnamed Item
- Edge-pairing isometries and counting Dirichlet domains on the densest tessellation \(\{12g-6,3\}\) for signal set design
- Arithmetic Fuchsian groups and space time block codes
- A reduction point algorithm for cocompact Fuchsian groups and applications
- Signal constellations in the hyperbolic plane: a proposal for new communication systems
- Arithmetic Fuchsian groups with signature \((1;e)\)
- Arithmétique des algèbres de quaternions
- A characterization of arithmetic Fuchsian groups
- Nonuniform Fuchsian codes for noisy channels
- Construction of class fields and zeta functions of algebraic curves
- Algebraic Number Theory and Code Design for Rayleigh Fading Channels
- Full-diversity, high-rate space-time block codes from division algebras
- On fundamental domains of arithmetic Fuchsian groups
- Quaternion Orders, Quadratic Forms, and Shimura Curves