173 search results - page 16 / 35 » Overview of Elliptic Curve Cryptography |
EUROCRYPT
2003
Springer
14 years 3 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
14 years 1 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...
CHES
2004
Springer
14 years 3 months ago
2004
Springer
We present an implementation of elliptic curves and of hyperelliptic curves of genus 2 and 3 over prime fields. To achieve a fair comparison between the different types of groups,...
ISCAS
2006
IEEE
14 years 3 months ago
2006
IEEE
— This paper compares implementations of elliptic and hyperelliptic curve cryptography (ECC and HECC) on an FPGA platform. We use the same low-level blocks to implement the basic...
EUROCRYPT
2007
Springer
14 years 4 months ago
2007
Springer
Abstract. In this paper we show that the Ate pairing, originally defined for elliptic curves, generalises to hyperelliptic curves and in fact to arbitrary algebraic curves. It has...