Importance

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Abstract

A Galois Field error correction decoder is described which can correct an error in a received polynomial. The apparatus includes means for generating a plurality of syndrome polynomials. A magnitude polynomial and a location polynomial having a first derivative are calculated from the syndrome polynomials utilizing Euclid's Algorithm. The module utilizing Euclid's Algorithm includes a general Galois Field multiplier having combinational logic circuits. The magnitude polynomial is divided by the first derivative of said location polynomial to form a quotient. Preferrably the division includes finding the inverse of the first derivative and multiplying the inverse by the magnitude polynomial. The error is corrected by exclusive ORing the quotient with the received polynomial.

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First Claim