28 search results - page 1 / 6 » Two Efficient Algorithms for Arithmetic of Elliptic Curves U... |
PKC
1998
Springer
13 years 8 months ago
1998
Springer
In this paper, we present two efficient algorithms computing scalar multiplications of a point in an elliptic curve defined over a small finite field, the Frobenius map of which ha...
IEICET
2008
13 years 4 months ago
2008
The hyperelliptic curve cryptosystems take most of the time for computing a scalar multiplication kD of an element D in the Jacobian JC of a hyperelliptic curve C for an integer k....
ICICS
1997
Springer
13 years 8 months ago
1997
Springer
Elliptic curve cryptosystems, proposed by Koblitz([8]) and Miller([11]), can be constructed over a smaller definition field than the ElGamal cryptosystems([5]) or the RSA cryptosys...
PKC
2004
Springer
13 years 10 months ago
2004
Springer
Let E be an elliptic curve defined over F2n . The inverse operation of point doubling, called point halving, can be done up to three times as fast as doubling. Some authors have t...
TIT
2010
12 years 11 months ago
2010
In this paper we introduce the concept of an optimal pairing, which by definition can be computed using only log2 r/(k) basic Miller iterations, with r the order of the groups invo...