High speed decoding of Reed-Solomon codes

Details High speed decoding of Reed-Solomon codes High speed decoding of Reed-Solomon codes

1977-08-15

1979-02-27

Atkinson, Charles E.

Communications: electrical

Digital comparator systems

3401461AV, G06F 1112

Patent

active

041421744

ABSTRACT:
This specification covers a simplified and high speed decoding scheme for Reed-Solomon codes capable of correcting up to three symbol errors in code words made up of k data and n-k check symbols where each symbol consists of m binary bits of information. In such a code the error location polynomial .sigma. (x) = x.sup.e + .sigma..sub.1 x.sup.e-1 . . . . .sigma..sub.e where e equals the number of symbol errors and the coefficient of .sigma.(x) are related to the error syndromes S.sub.i by the equation

REFERENCES:
patent: 3648236 (1972-03-01), Burton
patent: 3668632 (1972-06-01), Oldham
patent: 3714629 (1973-01-01), Hong et al.
patent: 3913068 (1975-10-01), Patel
patent: 3983536 (1976-09-01), Telfer

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