40 search results - page 1 / 8 » Security Estimates for Quadratic Field Based Cryptosystems |
ACISP
2010
Springer
13 years 6 months ago
2010
Springer
Abstract. We describe implementations for solving the discrete logarithm problem in the class group of an imaginary quadratic field and in the infrastructure of a real quadratic fi...
DCC
2001
IEEE
14 years 4 months ago
2001
IEEE
We describe several cryptographic schemes in quadratic function fields of odd characteristic. In both the real and the imaginary representation of such a field, we present a Diffi...
EUROCRYPT
2000
Springer
13 years 9 months ago
2000
Springer
The security of many recently proposed cryptosystems is based on the difficulty of solving large systems of quadratic multivariate polynomial equations. This problem is NP-hard ove...
IMA
2001
Springer
13 years 9 months ago
2001
Springer
We present a novel public key cryptosystem in which the public key of a subscriber can be chosen to be a publicly known value, such as his identity. We discuss the security of the ...
ASIACRYPT
2000
Springer
13 years 9 months ago
2000
Springer
Abstract. In this work we investigate the difficulty of the discrete logarithm problem in class groups of imaginary quadratic orders. In particular, we discuss several strategies t...