A gmd decoding apparatus and a method therefor

H - Electricity – 03 – M

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H03M 13/00 (2006.01) H03M 13/15 (2006.01)

Patent

CA 2181639

A decoding apparatus generates code words by means of syndrome polynomial, erasure location polynomial, and polynomials indicating error location and size thereof in order to materialize a high speed decoding with a smaller size of memory and a smaller amount of calculations. This decoding apparatus comprises an error location polynomial Pk (x) using the product of the syndrome polynomial and the erasure location polynomial as an initial value; a memory unit to store the polynomial Qk (x) to obtain an error number and auxiliary polynomials Uk (x) and Wk (x); a calculation unit to execute a given plurality of calculations with a plurality of polynomials stored in the memory unit as input in order to output a plurality of polynomials, and a control unit to update the polynomials stored in the memory unit by the output of the calculating unit, and to decide on the input and output relations of the calculation unit in accordance with the d-2th coefficients dk and bk of the polynomials Qk (x) and Wk (x).

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