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Abstract

Process and device to decode a shortened cyclic binary code, able to correct single errors bursts of given length t or shorter, specially for an F(n-b,k-b) shortened Fire code. It is based on the calculation of two syndrome polynomials, s1(x) and s2(x), in two specific registers (SR1, SR2), on the shifting in a first direction of the polynomial s1(x) .GAMMA.1 times until the errors burst is trapped in the t less significant positions of the first (SR1) register and on the shifting of the syndrome polynomial s2(x) .GAMMA.2 times in an opposite second directon in a third (MEL) register until it becomes equal to the t less significant positions of the first (SR1) register. Alternatively the second register can be a bidirectional shift register (SRb) where the shifting takes place also in the second direction. Moreover all computations in the process are made as simple as possible.

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First Claim