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Comparison of FPGA implementation of the mod M reductionKeywords: arithmetic in fpga, galois field, cryptography, modular operation. Abstract: several algorithms for computing x mod m are presented, among others the reduction mod bk-a, the pre-computation of bi.k mod m, a generalized version of the barrett algorithm and a modified version of the same barrett algorithm. the four mentioned algorithms, as well as the classical integer non-restoring division algorithm, have been synthesized and implemented within xc3s4000 components.
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