Algebraic space-time codes based on division algebras with a unitary involution

DOI10.3934/amc.2014.8.167zbMath1328.94096OpenAlexW2029978283MaRDI QIDQ476338

Grégory Berhuy

Publication date: 28 November 2014

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2014.8.167

zbMATH Keywords

algebras with involutionalgebraic codingskew fieldsspace-time codesunitary involutions

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Skew fields, division rings (12E15)

Cites Work

• Unnamed Item
• Unnamed Item
• Space-time block codes from nonassociative division algebras
• Division Algebras and Wireless Communication
• Cyclic Division Algebras: A Tool for Space-Time Coding
• Full-diversity, high-rate space-time block codes from division algebras
• Cyclic Algebras for Noncoherent Differential Space–Time Coding
• Unitary space-time modulation for multiple-antenna communications in Rayleigh flat fading
• Representation theory for high-rate multiple-antenna code design
• Differential space-time modulation
• A Survey of Algebraic Unitary Codes
• Space-Time Codes from Crossed Product Algebras of Degree 4