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A hardware design for modular exponentiation of big number
Yujie Zhou
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Abstract
This paper presents a hardware design for modular exponentiation of big number,in which modular multiplication is based on the modified Montgomery arithmetic(radix-2).It adopts a systolic modular multiplication structure and brings forward a new serial structure trigger at dual-edge of clock,which can save (area) and achieve high clock frequency at the same time.The modular exponentiation part of the design is based on the M-ary arithmetic,which can save times of calculation.Also it has compared the speed with that of the design based on the common used L-R arithmetic.