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INDOCRYPT
2004
Springer
13 years 10 months ago
A Provably Secure Elliptic Curve Scheme with Fast Encryption
Abstract. We present a new elliptic curve cryptosystem with fast encryption and key generation, which is provably secure in the standard model. The scheme uses arithmetic modulo n2...
David Galindo, Sebastià Martín Molle...
MASCOTS
2001
13 years 6 months ago
Performance of Finite Field Arithmetic in an Elliptic Curve Cryptosystem
As the Internet commerce becomes a more important part of the economy, network security is receiving more emphasis. Time spent in data encryption can be a significant performance ...
Zhi Li, John Higgins, Mark J. Clement
PKC
2009
Springer
121views Cryptology» more  PKC 2009»
14 years 6 months ago
Fast Multibase Methods and Other Several Optimizations for Elliptic Curve Scalar Multiplication
Recently, the new Multibase Non-Adjacent Form (mbNAF) method was introduced and shown to speed up the execution of the scalar multiplication with an efficient use of multiple bases...
Patrick Longa, Catherine H. Gebotys
ISSAC
2009
Springer
163views Mathematics» more  ISSAC 2009»
13 years 12 months ago
Fast arithmetics in artin-schreier towers over finite fields
An Artin-Schreier tower over the finite field Fp is a tower of field extensions generated by polynomials of the form Xp − X − α. Following Cantor and Couveignes, we give a...
Luca De Feo, Éric Schost
DCC
2007
IEEE
14 years 5 months ago
Efficient pairing computation on supersingular Abelian varieties
Abstract. We present a general technique for the efficient computation of pairings on supersingular Abelian varieties. This formulation, which we call the eta pairing, generalises ...
Paulo S. L. M. Barreto, Steven D. Galbraith, Colm ...