A decoding procedure for the Reed-Solomon codes
Raymond S. Lim, United States. National Aeronautics and Space Administration. Scientific and Technical Information Office, Ames Research Center
National Aeronautics and Space Administration, Scientific and Technical Information Office, 1978 - Computers - 20 pages
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2900 series microprocessor archival storage arithmetic unit implemented BCH code Berlekamp Berlekamp's iterative algorithm block code bursts of length calculating the syndrome calculation is performed Chien search circuit code symbols code with code coding theory correct any combination cyclic code decoding procedure digit in error EECS elements of GF(2m encoding shift register equation 13 error correcting capability error location numbers error location polynomial error values field arithmetic unit field element Galois field arithmetic GF(q Group Coded Recording I4-TENEX central system I4-TENEX system ILLIAC IV implemented by microprogram Lin's table m-bit symbols matrix G modified Chien search multiples of g(X nonzero nth root parallel matrix method parity Parity-check matrix PDP-10 WORD performed by hardware positive integer primitive polynomial received codeword REED-SOLOMON CODES register stage root of unity roots of a(X shift register method shown in figure step Storage System SUM circuit syndrome calculation t-error-correcting RS code TABLE LOOKUP UNICON Xn-kM(X