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In this article we propose the implementation of different RNS moduli sets on FPGA. We also reviewed methods for calculation of remainder of division by modules of special form. In addition, the application of logical sharing schemes with effective distributing of FPGA resources is presented in the paper. We modified the algorithm of residue calculation by using distributed arithmetic's methods and...
In the paper, we propose a new method of modular multiplication computation, based on Residue Number System. We use an approximate method to find the approximate method a residue from division of a multiplication on the given module. We substitute expensive modular operations, by fast bit right shift operations and taking low bits. The carried-out simulation on Kintex7 XC7K70T board showed that the...
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