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The Explicit Computations of Tate Pairing in Projective Coordinates over Characteristic Three

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The secure implementation of pairing-based cryptographic algorithms is a very important issue when constructing the resource constrained device such as smart card to prevent from the side channel attack. Recently, there have been variously proposed detection methods from these attacks. In this paper,we present a countermeasure of eta-pairing algorithm in characteristic three used by projective coordinate systems. We also provide not only the explicit formulas for alternative projective coordinates of eta pairing in characteristic three but also the computational costs behind proposed algorithms.

Abstract

The secure implementation of pairing-based cryptographic algorithms is a very important issue when constructing the resource constrained device such as smart card to prevent from the side channel attack. Recently, there have been variously proposed detection methods from these attacks. In this paper,we present a countermeasure of eta-pairing algorithm in characteristic three used by projective coordinate systems. We also provide not only the explicit formulas for alternative projective coordinates of eta pairing in characteristic three but also the computational costs behind proposed algorithms.

참고문헌 (23)

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