Polynominal-set deriving apparatus and method

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371 401, G11C 2900

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055351409

ABSTRACT:
A set of minimal polynomials for generating a multidimensional array for decoding algebraic geometric codes is derived at a high speed. In order to obtain a set of minimal polynomials F for generating a given multidimensional array, when sequentially updating a set of polynomials F, df.sub.n.sup.(i) are not directly calculated, and a newly introduced set of polynomials B and the set of polynomials F are updated using the highest-degree coefficient d.sub.i of polynomials which belong to the set of polynomials B. An array memory for storing a given multidimensional array u, and first and second polynomial memories for storing the set of polynomials F to be obtained and a set of auxiliary polynomials G, respectively, are provided. In the calculation of polynomials f.sup.(k) and df.sub.n+1.sup.(k), accessing operations for respective memories and accessed addresses are controlled in parallel depending on the degrees of polynomials f.sup.(k).

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