Journal of the Korea Institute of Information Security & Cryptology (정보보호학회논문지)

Korea Institute of Information Security and Cryptology (한국정보보호학회)
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Application of Mixed Coordinate Technique for Elliptic Curves Defined over $GF(p^m)$

GF(pm)상에서 정의되는 타원곡선을 위한 복합 좌표계 응용

  • Published : 2000.03.01
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Abstract

In Public key cryptosystems based on elliptic curve (EC) discrete logarithm Problem, EC exponentiation is the mostfundamental and also the most time-consuming function among EC functions. Thus it is important to implement efficient EC exponentiation to have an efficient EC cryptosystem. In this paper, we propose an efficient EC exponentiation algorithm which is optimized fur $GF(p^m)$, by applying mixed coordinate technique. In addition, we show that a more efficient implementation is possible by utilizing 'IM (inversion with multiplication), algorithm.

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References

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