202 search results - page 3 / 41 » Hardware Factorization Based on Elliptic Curve Method |
ANTS
2000
Springer
13 years 10 months ago
2000
Springer
Abstract. Essentially all subexponential time algorithms for the discrete logarithm problem over nite elds are based on the index calculus idea. In proposing cryptosystems based on...
SACRYPT
1999
Springer
13 years 9 months ago
1999
Springer
In this paper, we introduce a new approach to the generation of binary sequences by applying trace functions to elliptic curves over GF 2m . We call these sequences elliptic curve...
EUROCRYPT
2012
Springer
11 years 8 months ago
2012
Springer
Abstract. The goal of this paper is to further study the index calculus method that was first introduced by Semaev for solving the ECDLP and later developed by Gaudry and Diem. In...
IJNSEC
2010
13 years 13 days ago
2010
The efficiency of the core Galois field arithmetic improves the performance of elliptic curve based public key cryptosystem implementation. This paper describes the design and imp...
MOC
2000
13 years 5 months ago
2000
We report the discovery of a new factor for each of the Fermat numbers F13, F15, F16. These new factors have 27, 33 and 27 decimal digits respectively. Each factor was found by the...