Data processing method and apparatus for calculating a multiplic

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364754, G06F 700

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049891715

ABSTRACT:
There is described the calculation of a multiplicatively inverted element of an input vector specified in a finite major Galois field. From the set of vector coefficients there is formed a first set of linear forms and a further set of matrix-organized linear forms. The elements of the first set of linear forms are pairwise combined to quadratic forms that represent a set of coefficients of a vector defined in a subfield in the major field. This latter vector is then converted to its multiplicative inverse, after which the inverted subfield-vector has its coefficients multiplied by elements of the further set to generate the multiplicative inverse in the major field. By scrupulously combining the generation of various intermediate terms a further reduction of the necessary hardware and/or processing time is attained.

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Wang et al., "VLSI Architectures for Computing Multiplications and Inverses in GF (2.sup.m)", IEEE Trans. on Computer, vol. C-34, No. 8, Aug. 1985, pp. 709-717.

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