EUROCRYPT
2001
Springer
13 years 9 months ago
2001
Springer
Abstract. We show that finding an efficiently computable injective homomorphism from the XTR subgroup into the group of points over GF(p2 ) of a particular type of supersingular e...
EUROCRYPT
2001
Springer
13 years 9 months ago
2001
Springer
The use of elliptic curves in cryptography relies on the ability to count the number of points on a given curve. Before 1999, the SEA algorithm was the only efficient method known ...
CHES
2001
Springer
13 years 9 months ago
2001
Springer
A variation of the Complex Multiplication (CM) method for generating elliptic curves of known order over finite fields is proposed. We give heuristics and timing statistics in th...
CHES
2001
Springer
13 years 9 months ago
2001
Springer
Abstract. In this paper we show how using a representation of an elliptic curve as the intersection of two quadrics in P3 can provide a defence against Simple and Differental Powe...
EUROCRYPT
2003
Springer
13 years 9 months ago
2003
Springer
Abstract. We generalize the Weil descent construction of the GHS attack to arbitrary Artin-Schreier extensions. We give a formula for the characteristic polynomial of Frobenius of ...
ESORICS
2004
Springer
13 years 10 months ago
2004
Springer
This work presents a practical public-key encryption scheme that offers security under adaptive chosen-ciphertext attack (CCA) and has pseudo-random ciphertexts, i.e. ciphertexts ...
ANTS
2004
Springer
13 years 10 months ago
2004
Springer
Using powerful tools on genus 2 curves like the Kummer variety, we generalize the Montgomery method for scalar multiplication to the jacobian of these curves. Previously this metho...
IMA
2005
Springer
13 years 10 months ago
2005
Springer
In recent years cryptographic protocols based on the Weil and Tate pairings on elliptic curves have attracted much attention. A notable success in this area was the elegant solutio...
IPPS
2006
IEEE
13 years 10 months ago
2006
IEEE
Elliptic curve cryptosystems are nowadays widely used in the design of many security devices. Nevertheless, since not every elliptic curve is useful for cryptographic purposes, me...
ASIACRYPT
2007
Springer
13 years 10 months ago
2007
Springer
Edwards recently introduced a new normal form for elliptic curves. Every elliptic curve over a non-binary field is birationally equivalent to a curve in Edwards form over an exten...