209 search results - page 24 / 42 » Supersingular Curves in Cryptography |
EUROCRYPT
1999
Springer
14 years 4 days ago
1999
Springer
In this paper we discuss various aspects of cryptosystems based on hyperelliptic curves. In particular we cover the implementation of the group law on such curves and how to genera...
CHES
2005
Springer
14 years 1 months ago
2005
Springer
Abstract. We present a new method for computing the scalar multiplication on Koblitz curves. Our method is as fast as the fastest known technique but requires much less memory. We ...
ASIACRYPT
2003
Springer
13 years 11 months ago
2003
Springer
One of the recent thrust areas in research on hyperelliptic curve cryptography has been to obtain explicit formulae for performing arithmetic in the Jacobian of such curves. We con...
EUROCRYPT
2003
Springer
14 years 1 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 ...
ANTS
2010
Springer
13 years 11 months ago
2010
Springer
An isogeny between elliptic curves is an algebraic morphism which is a group homomorphism. Many applications in cryptography require evaluating large degree isogenies between ellip...