The Journal of Korean Institute of Communications and Information Sciences (한국통신학회논문지)

The Korean Institute of Commucations and Information Sciences (한국통신학회)
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Fast exponentiation with modifed montgonmery modular multiplication

Montgomery 모듈라 곱셈을 변형한 고속 멱승

  • 하재철 (경북대학교 전자전기공학부) ;
  • 문상재 (경북대학교 전자전기공학부)
  • Published : 1997.05.01
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Abstract

We modify the montgomery modeular multikplication to extract the common parts in common-multiplicand multi-plications. Since the modified method computes the common parts in two modular multiplications once rather than twice, it can speed up the exponentiations and reduce the amount of storage tables in m-ary or windowexponentiation. It can be also applied to an exponentiation mehod by folding the exponent in half. This method is well-suited to the memory limited environments such as IC card due to its speed and requirement of small memory.

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References

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