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Cocks-Pinch curves of embedding degrees five to eight and optimal ate pairing computation
NFS optimal ate pairing computation
2019/4/28
Recent algorithmic improvements of discrete logarithm computation in special extension fields threaten the security of pairing-friendly curves used in practice. A possible answer to this delicate situ...
Efficient Optimal Ate Pairing at 128-bit Security Level
KSS-16 curve Optimal-Ate pairing sparse multiplication
2017/12/6
Following the emergence of Kim and Barbulescu's new number field sieve (exTNFS) algorithm at CRYPTO'16 [21] for solving discrete logarithm problem (DLP) over the finite field; pairing-based cryptograp...
Optimal Ate Pairing on Elliptic Curves with Embedding Degree 9,15 and 27
Elliptic Curves Optimal Pairings Miller's algorithm
2017/1/3
Since the advent of pairing based cryptography, much attention has been given to efficient computation of pairings on elliptic curves with even embedding degrees. The few works that exist in the case ...
On the Computation of the Optimal Ate Pairing at the 192-bit Security Level
BLS curves Optimal Ate pairing final exponentiation
2016/2/23
Barreto, Lynn and Scott elliptic curves of embedding degree
12 denoted BLS12 have been proven to present fastest results on the
implementation of pairings at the 192-bit security level [1]. The comp...
Area-Efficient Hardware Implementation of the Optimal Ate Pairing over BN curves
BN curves Optimal Ate Pairing Final Exponentiation
2015/12/21
To have an efficient asymmetric key encryption scheme, such as elliptic
curves, hyperelliptic curves, pairing ... etc we have to go through
arithmetic optimization then hardware optimization. Regard...
A Fast Implementation of the Optimal Ate Pairing over BN curve on Intel Haswell Processor
optimal ate pairing efficient implementation
2014/3/12
We present an efficient implementation of the Optimal Ate Pairing on Barreto-Naehrig curve over a 254-bit prime field on Intel Haswell processor. Our library is able to compute the optimal ate pairing...
High-Speed Software Implementation of the Optimal Ate Pairing over Barreto-Naehrig Curves
Tate pairing optimal pairing Barreto{Naehrig curve ordinary curve
2010/7/14
This paper describes the design of a fast software library for the computation of the optimal ate pairing on a Barreto--Naehrig elliptic curve. Our library is able to compute the optimal ate pairing o...