IWSEC
2010
Springer
13 years 10 months ago
2010
Springer
We use two parametrizations of points on elliptic curves in generalized Edwards form x2 + y2 = c2 (1 + dx2 y2 ) that omit the xcoordinate. The first parametrization leads to a diff...
ASAP
2010
IEEE
13 years 10 months ago
2010
IEEE
Abstract--This paper proposes an FPGA-based applicationspecific elliptic curve processor over a prime field. This research targets applications for which compactness is more import...
MOC
2002
14 years 3 days ago
2002
Abstract. We determine the explicit form of the Igusa local zeta function associated to an elliptic curve. The denominator is known to be trivial. Here we determine the possible nu...
JAL
1998
14 years 3 days ago
1998
Public-key cryptographic systems often involve raising elements of some group (e.g. GF(2n), Z/NZ, or elliptic curves) to large powers. An important question is how fast this expon...
CORR
2004
Springer
14 years 8 days ago
2004
Springer
Cryptographic applications using an elliptic curve over a finite field filter curves for suitability using their order as the primary criterion: e.g. checking that their order has...
IPL
2007
14 years 10 days ago
2007
The use of elliptic curve cryptosystems on embedded systems has been becoming widespread for some years. Therefore the resistance of such cryptosystems to side-channel attacks is ...
TC
2008
14 years 10 days ago
2008
Cryptanalysis of ciphers usually involves massive computations. The security parameters of cryptographic algorithms are commonly chosen so that attacks are infeasible with availabl...
IJNSEC
2007
14 years 10 days ago
2007
In 2004, Libert and Quisquater proposed an identity based undeniable signature scheme using pairings over elliptic curves. In this article, we show that the scheme is not secure. ...
IJISEC
2008
14 years 13 days 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...
CORR
2006
Springer
14 years 14 days ago
2006
Springer
We survey algorithms for computing isogenies between elliptic curves defined over a field of characteristic either 0 or a large prime. We introduce a new algorithm that computes an...