20 search results - page 3 / 4 » Computing L-Series of Hyperelliptic Curves |
ANTS
2010
Springer
13 years 11 months ago
2010
Springer
Abstract. We answer a question asked by Hajdu and Tengely: The only arithmetic progression in coprime integers of the form (a2 , b2 , c2 , d5 ) is (1, 1, 1, 1). For the proof, we ï...
ANTS
2004
Springer
14 years 26 days ago
2004
Springer
We present algorithms for computing the squared Weil and Tate pairings on an elliptic curve and the squared Tate pairing for hyperelliptic curves. The squared pairings introduced i...
ASIACRYPT
2003
Springer
14 years 21 days ago
2003
Springer
The Weil and Tate pairings have been used recently to build new schemes in cryptography. It is known that the Weil pairing takes longer than twice the running time of the Tate pair...
ACISP
2005
Springer
14 years 1 months ago
2005
Springer
We deal with a divisor class halving algorithm on hyperelliptic curve cryptosystems (HECC), which can be used for scalar multiplication, instead of a doubling algorithm. It is not ...
MOC
2002
13 years 7 months ago
2002
We provide a subexponential algorithm for solving the discrete logarithm problem in Jacobians of high-genus hyperelliptic curves over finite fields. Its expected running time for i...