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» On the Computation of the Optimal Ate Pairing at the 192-bit...
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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...
IACR
2011
133views more  IACR 2011»
12 years 4 months ago
Attractive Subfamilies of BLS Curves for Implementing High-Security Pairings
Barreto-Lynn-Scott (BLS) curves are a stand-out candidate for implementing high-security pairings. This paper shows that particular choices of the pairing-friendly search parameter...
Craig Costello, Kristin Lauter, Michael Naehrig
JSS
2011
106views more  JSS 2011»
12 years 7 months ago
A family of implementation-friendly BN elliptic curves
For the last decade, elliptic curve cryptography has gained increasing interest in industry and in the academic community. This is especially due to the high level of security it p...
C. C. F. Pereira Geovandro, Marcos A. Simplí...
AFRICACRYPT
2010
Springer
13 years 11 months ago
Avoiding Full Extension Field Arithmetic in Pairing Computations
Abstract. The most costly operations encountered in pairing computations are those that take place in the full extension field Fpk . At high levels of security, the complexity of ...
Craig Costello, Colin Boyd, Juan Manuel Gonz&aacut...