84 search results - page 1 / 17 » Elliptic Curves with a Given Number of Points |
ANTS
2004
Springer
13 years 10 months ago
2004
Springer
We present a non-archimedean method to construct, given an integer N ≥ 1, a finite field Fq and an elliptic curve E/Fq such that E(Fq) has order N.
ANTS
1998
Springer
13 years 9 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...
IJNSEC
2011
12 years 11 months ago
2011
In this paper, cyclic elliptic curves of the form y2 + xy = x3 + ax2 + b, a, b ∈ GF(2m ) with order M is considered in the design of a Symmetric Key Image Encryption Scheme with...
CRYPTO
2007
Springer
13 years 11 months ago
2007
Springer
An elliptic curve random number generator (ECRNG) has been approved in a NIST standards and proposed for ANSI and SECG draft standards. This paper proves that, if three conjecture...
PKC
1998
Springer
13 years 8 months ago
1998
Springer
In this paper, we present two efficient algorithms computing scalar multiplications of a point in an elliptic curve defined over a small finite field, the Frobenius map of which ha...