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Galois field multiplication system and method

Image Number 6 for United States Patent #7526518.

A present invention Galois field multiplier system and method utilize lookup tables to generate one partial product term and one feedback term in one clock cycle. In one embodiment, a Galois field multiplier system includes a plurality of shift registers, a plurality of exclusive OR components, a partial product lookup table, and a feedback table lookup table. The plurality of shift registers perform shift multiplication operation and are coupled to the plurality of shift registers that perform addition operations. The partial product lookup table and feedback lookup tables are selectively coupled to the exclusive OR components and values from the partial product lookup table and feedback lookup tables are fed into the selectively coupled exclusive OR components. Coefficients of the partial product term and feedback term are utilized as indexes to the partial product lookup table and feedback lookup table respectively.

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