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General modular multiplication by block multiplication and table lookup
Conference paper

General modular multiplication by block multiplication and table lookup

Cheng-Wen Wu and Yung-Fa Chou
Proceedings - IEEE International Symposium on Circuits and Systems, Vol.4, pp.295-298
1994

Abstract

Electrical and Electronic Engineering Electronic Optical and Magnetic Materials
This paper deals with the problem of general modular multiplication, i.e., A × B mod M. To solve it in hardware, we suggest a simple lookup-table based approach and use the novel block multiplier which we have developed earlier on. The area (A) and time (T) complexities of this multiplier are both O(n log n) if carry-lookahead adders are used. Most previously proposed modular multipliers have put restriction on the ranges of the multiplicand A, the multiplier B, and the modulus M. Our modular multiplier is general, which releases the restriction on those operands.

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