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» Primality Proving with Elliptic Curves
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DCC
2001
IEEE
14 years 8 months ago
How to Choose Secret Parameters for RSA-Type Cryptosystems over Elliptic Curves
Recently, and contrary to the common belief, Rivest and Silverman argued that the use of strong primes is unnecessary in the RSA cryptosystem. This paper analyzes how valid this as...
Marc Joye, Jean-Jacques Quisquater, Tsuyoshi Takag...
CORR
2004
Springer
104views Education» more  CORR 2004»
13 years 8 months ago
Ramanujan Graphs and the Random Reducibility of Discrete Log on Isogenous Elliptic Curves
Cryptographic applications using an elliptic curve over a finite field filter curves for suitability using their order as the primary criterion: e.g. checking that their order has...
David Jao, Stephen D. Miller, Ramarathnam Venkates...
LATINCRYPT
2010
13 years 7 months ago
Estimating the Size of the Image of Deterministic Hash Functions to Elliptic Curves
Let E be a non-supersingular elliptic curve over a finite field Fq. At CRYPTO 2009, Icart introduced a deterministic function Fq → E(Fq) which can be computed efficiently, and ...
Pierre-Alain Fouque, Mehdi Tibouchi
CORR
2010
Springer
97views Education» more  CORR 2010»
13 years 8 months ago
Cryptanalysis of an Efficient Signcryption Scheme with Forward Secrecy Based on Elliptic Curve
The signcryption is a relatively new cryptographic technique that is supposed to fulfill the functionalities of encryption and digital signature in a single logical step. Several ...
Mohsen Toorani, Ali Asghar Beheshti Shirazi
IACR
2011
120views more  IACR 2011»
12 years 8 months ago
Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies
We present new candidates for quantum-resistant public-key cryptosystems based on the conjectured difficulty of finding isogenies between supersingular elliptic curves. The main t...
David Jao, Luca De Feo