7 search results - page 1 / 2 » Security of Cryptosystems Based on Class Groups of Imaginary... |
ASIACRYPT
2000
Springer
13 years 8 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...
EUROCRYPT
1998
Springer
13 years 8 months ago
1998
Springer
We introduce a new cryptosystem with trapdoor decryption based on the di culty of computing discrete logarithms in the class group of the non-maximal imaginary quadratic order O q ...
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...
EUROCRYPT
2000
Springer
13 years 8 months ago
2000
Springer
We present a chosen-ciphertext attack against both NICE cryptosystems. These two cryptosystems are based on computations in the class group of non-maximal imaginary orders. More pr...
ICISC
1998
13 years 5 months ago
1998
Abstract. In 14] and 21] there are proposed ElGamal-type cryptosystems based on non-maximal imaginary quadratic orders with fast trapdoor decryption. The trapdoor information is th...