Algebraic Number Theory and Code Design for Rayleigh Fading Channels

DOI10.1561/0100000003zbMath1137.94014OpenAlexW4297970783WikidataQ63961254 ScholiaQ63961254MaRDI QIDQ3425496

Emanuele Viterbo, Frédérique Oggier

Publication date: 23 February 2007

Published in: Foundations and Trends™ in Communications and Information Theory (Search for Journal in Brave)

Full work available at URL: https://resolver.caltech.edu/CaltechAUTHORS:FOftcit04

zbMATH Keywords

algebraic lattice codescodes for fading channels

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Research exposition (monographs, survey articles) pertaining to information and communication theory (94-02) Algebraic number theory: global fields (11R99) Theory of error-correcting codes and error-detecting codes (94B99) Channel models (including quantum) in information and communication theory (94A40)

Related Items (10)

Well-rounded twists of ideal lattices from real quadratic fields ⋮ Fuchsian codes with arbitrarily high code rates ⋮ Wiretap lattice codes from number fields with no small norm elements ⋮ Probability estimates for fading and wiretap channels from ideal class zeta functions ⋮ Modular lattices from a variation of construction A over number fields ⋮ The closest vector problem in tensored root lattices of type A and in their duals ⋮ Lattices from maximal orders into quaternion algebras ⋮ Nonuniform Fuchsian codes for noisy channels ⋮ Algebraic construction of lattices via maximal quaternion orders ⋮ Algebraic constructions of densest lattices

Uses Software

• KANT/KASH

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