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Modular multiplier is the key to implement RSA algorithm. This paper proposes the design of an 8192-bit residue number system (RNS) Montgomery multiplier based on Cox-Rower architecture. To accelerate the reduction unit, we select modulo with a small Hamming weigh, and modulo are grouped by the number of Rowers. Each Rower unit only needs to support the reduction processes of one group of modulo instead...
Implementing elliptic curve point multiplication (ECPM) based on residue number system (RNS) can efficiently use FPGA resources. In this paper, we propose a modular reduction method, where a kind of RNS pair is selected to achieve fast reduction. Our reduction method mainly needs several parallel additions while the reduction unit of previous designs require two multiplications which are computed...
Base extent (BE) is the most costly operation in classic RNS Montgomery multiplication. In this paper, we propose a method to optimize Chinese Remainder Theorem (CRT)- based BE, where some common factors are extracted that the precomputed parameters of BEs can be adjusted to some forms with a small Hamming weight if modulo selected properly. Four modulo are selected to demonstrate the advantage of...
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