Transform Techniques for Error Control Codes

DOI10.1147/rd.233.0299zbMath0403.94012OpenAlexW2018063252MaRDI QIDQ4189179

Richard E. Blahut

Publication date: 1979

Published in: IBM Journal of Research and Development (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/bc74389b60e9d909effc56a62c3d0d25690680f8

zbMATH Keywords

DecodingDiscrete Fourier TransformError Correcting CodesFinite Field TransformBch CodesError Control CodesGoppa Codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Application of orthogonal and other special functions (94A11) Cyclic codes (94B15)

Related Items (14)

Trace representation and linear complexity of binary sequences derived from Fermat quotients ⋮ On the MacWilliams identities for linear codes ⋮ Zigzag decodable codes: linear-time erasure codes with applications to data storage ⋮ Trace representation of pseudorandom binary sequences derived from Euler quotients ⋮ On viewing block codes as finite automata. ⋮ Multiscale matrix pencils for separable reconstruction problems ⋮ VLSI architecture of modified Euclidean algorithm for Reed-Solomon code. ⋮ A Transform Approach to Alternant and the Like Error Correcting Codes ⋮ Coding for a multiple access OR channel: A survey ⋮ Shortened and punctured codes and the MacWilliams identities ⋮ Group testing and fault detection for replicated files ⋮ Solving linear systems of determinant frequently zero over finite field GF(2) ⋮ Trace representation of Legendre sequences over non-binary fields ⋮ Finite field transforms and symmetry groups

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