89 search results - page 1 / 18 » A note on the Ate pairing |
IJISEC
2008
13 years 4 months ago
2008
The Ate pairing has been suggested since it can be computed efficiently on ordinary elliptic curves with small values of the traces of Frobenius t. However, not all pairing-friendl...
IMA
2007
Springer
13 years 11 months ago
2007
Springer
The Ate pairing and the twisted Ate pairing for ordinary elliptic curves which are generalizations of the ηT pairing for supersingular curves have previously been proposed. It is ...
PAIRING
2010
Springer
13 years 3 months ago
2010
Springer
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 ...
EUROCRYPT
2007
Springer
13 years 11 months ago
2007
Springer
Abstract. In this paper we show that the Ate pairing, originally defined for elliptic curves, generalises to hyperelliptic curves and in fact to arbitrary algebraic curves. It has...
IEICET
2008
13 years 4 months ago
2008
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...