Some constructions of linearly optimal group codes

DOI10.1016/j.laa.2010.03.002zbMath1191.94109OpenAlexW1991580721MaRDI QIDQ975603

Elena Couselo, Santos González, Consuelo Martínez, Alexander A. Nechaev, Viktor T. Markov

Publication date: 10 June 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.03.002

zbMATH Keywords

Reed-Solomon codegroup ringgroup codelinearly optimal code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65) Other types of codes (94B60) Cyclic codes (94B15)

Related Items (7)

Ideal representation of Reed-Solomon and Reed-Muller codes ⋮ Victor Timofeevich Markov (21.06.1948 -- 15.07.2019) ⋮ An example of length computation for a group algebra of a noncyclic abelian group in the modular case ⋮ Classic and Quantum Error Correcting Codes ⋮ Length of the group algebra of the dihedral group of order \(2^k\) ⋮ Unnamed Item ⋮ On the lengths of group algebras of finite abelian groups in the modular case

Cites Work

• Classical codes as ideals in group algebras
• Metacyclic error-correcting codes
• Loop codes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some constructions of linearly optimal group codes