100 search results - page 2 / 20 » Arithmetic on superelliptic curves |
EUROCRYPT
2011
Springer
12 years 11 months ago
2011
Springer
Abstract. We describe efficient formulas for computing pairings on ordinary elliptic curves over prime fields. First, we generalize lazy reduction techniques, previously considere...
IPL
2007
13 years 7 months 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 ...
PKC
2010
Springer
13 years 9 months ago
2010
Springer
This paper considers a generalized form for Hessian curves. The family of generalized Hessian curves covers more isomorphism classes of elliptic curves. Over a finite filed Fq, it ...
IACR
2011
12 years 7 months ago
2011
We derive an explicit method of computing the composition step in Cantor’s algorithm for group operations on Jacobians of hyperelliptic curves. Our technique is inspired by the g...
PKC
2011
Springer
12 years 10 months ago
2011
Springer
Bos, Kaihara, Kleinjung, Lenstra, and Montgomery recently showed that ECDLPs on the 112-bit secp112r1 curve can be solved in an expected time of 65 years on a PlayStation 3. This p...