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» Efficient elliptic curve exponentiation
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ICICS
1997
Springer
13 years 8 months ago
Efficient elliptic curve exponentiation
Elliptic curve cryptosystems, proposed by Koblitz([8]) and Miller([11]), can be constructed over a smaller definition field than the ElGamal cryptosystems([5]) or the RSA cryptosys...
Atsuko Miyaji, Takatoshi Ono, Henri Cohen
IEICET
2008
147views more  IEICET 2008»
13 years 4 months ago
Computing the Ate Pairing on Elliptic Curves with Embedding Degree k = 9
For AES 128 security level there are several natural choices for pairing-friendly elliptic curves. In particular, as we will explain, one might choose curves with k = 9 or curves w...
Xibin Lin, Changan Zhao, Fangguo Zhang, Yanming Wa...
ICISC
2004
99views Cryptology» more  ICISC 2004»
13 years 6 months ago
Fractional Windows Revisited: Improved Signed-Digit Representations for Efficient Exponentiation
Abstract. This paper extends results concerning efficient exponentiation in groups where inversion is easy (e.g. in elliptic curve cryptography). It examines the right-to-left and ...
Bodo Möller
CHES
2004
Springer
216views Cryptology» more  CHES 2004»
13 years 8 months ago
Efficient Countermeasures against RPA, DPA, and SPA
In the execution on a smart card, side channel attacks such as simple power analysis (SPA) and the differential power analysis (DPA) have become serious threat [15]. Side channel a...
Hideyo Mamiya, Atsuko Miyaji, Hiroaki Morimoto
PKC
1998
Springer
123views Cryptology» more  PKC 1998»
13 years 8 months ago
Two Efficient Algorithms for Arithmetic of Elliptic Curves Using Frobenius Map
In this paper, we present two efficient algorithms computing scalar multiplications of a point in an elliptic curve defined over a small finite field, the Frobenius map of which ha...
Jung Hee Cheon, Sung-Mo Park, Sangwoo Park, Daeho ...