35 search results - page 3 / 7 » Generating Elliptic Curves of Prime Order |
ANTS
1998
Springer
13 years 11 months ago
1998
Springer
In this note we address the question whether for a given prime number p, the zeta-function of a number field always determines the p-part of its class number. The answer is known t...
ASAP
2010
IEEE
13 years 5 months ago
2010
IEEE
Abstract--This paper proposes an FPGA-based applicationspecific elliptic curve processor over a prime field. This research targets applications for which compactness is more import...
PAIRING
2007
Springer
14 years 1 months ago
2007
Springer
We provide the first explicit construction of genus 2 curves over finite fields whose Jacobians are ordinary, have large prime-order subgroups, and have small embedding degree. ...
EUROCRYPT
2010
Springer
14 years 5 days ago
2010
Springer
We develop an abstract framework that encompasses the key properties of bilinear groups of composite order that are required to construct secure pairing-based cryptosystems, and we...
ANTS
2006
Springer
13 years 11 months ago
2006
Springer
We present a general framework for constructing families of elliptic curves of prime order with prescribed embedding degree. We demonstrate this method by constructing curves with ...