The algebraic decoding of the (41, 21, 9) quadratic residue code

DOI10.1109/18.135639zbMath0749.94020OpenAlexW2135061293MaRDI QIDQ4008330

Xuemin Chen, Xiaowei Yin, Irving S. Reed, Trieu-Kien Truong

Publication date: 27 September 1992

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/18.135639

zbMATH Keywords

BCH codescyclic codedecodingReed-Solomon codesquadratic residue codeNewton identitieserror-correction coding theorySylvester resultant methodZech's logarithms

Mathematics Subject Classification ID

Cyclic codes (94B15) Decoding (94B35)

Related Items (9)

High speed decoding of the binary \((47, 24, 11)\) quadratic residue code ⋮ Quadratic-residue codes and cyclotomic fields ⋮ A lookup table decoding of systematic \((47, 24, 11)\) quadratic residue code ⋮ On a Class of Reversible Binary Cyclic Codes and their Algebraic Decoding ⋮ On the decoding of the \((24, 12, 8)\) Golay code ⋮ A cyclic weight algorithm of decoding the \((47, 24, 11)\) quadratic residue code ⋮ Unnamed Item ⋮ Algebraic decoding of the \((41, 21, 9)\) quadratic residue code ⋮ On the decoding of binary cyclic codes with the Newton identities

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