Algebraic decoding of the \((41, 21, 9)\) quadratic residue code

DOI10.1016/J.INS.2009.06.002zbMath1172.94645OpenAlexW2009064721MaRDI QIDQ730938

Hsin-Chiu Chang, Hung-Peng Lee, Tsung-Ching Lin, Trieu-Kien Truong

Publication date: 1 October 2009

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2009.06.002

zbMATH Keywords

cyclic codealgebraic decodingquadratic residue codeerror-locator polynomialunknown syndrome

Mathematics Subject Classification ID

Cyclic codes (94B15) Decoding (94B35) Arithmetic codes (94B40)

Related Items (3)

High speed decoding of the binary \((47, 24, 11)\) quadratic residue code ⋮ On the decoding of the \((24, 12, 8)\) Golay code ⋮ A cyclic weight algorithm of decoding the \((47, 24, 11)\) quadratic residue code

Cites Work

• Unnamed Item
• Unnamed Item
• Is there a need for fuzzy logic?
• Toward a generalized theory of uncertainty (GTU) -- an outline
• Fast, prime factor, discrete Fourier transform algorithms over \(\text{GF}(2^m)\) for \(8 \leqslant m \leqslant 10\)
• Algebraic decoding of the (32, 16, 8) quadratic residue code
• Algebraic Decoding of the $(89, 45, 17)$ Quadratic Residue Code
• VLSI Architectures for Computing Multiplications and Inverses in GF(2^m)
• The algebraic decoding of the (41, 21, 9) quadratic residue code
• Decoding the (73, 37, 13) quadratic residue code
• A new procedure for decoding cyclic and BCH codes up to actual minimum distance
• Error-locating pairs for cyclic codes
• Decoding the (47,24,11) quadratic residue code

This page was built for publication: Algebraic decoding of the \((41, 21, 9)\) quadratic residue code