4 search results - page 1 / 1 » Constructing elliptic curve isogenies in quantum subexponent... |
CORR
2010
Springer
13 years 2 months ago
2010
Springer
Given two elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit an isogeny between them, but finding such an isog...
ANTS
2010
Springer
13 years 8 months ago
2010
Springer
An isogeny between elliptic curves is an algebraic morphism which is a group homomorphism. Many applications in cryptography require evaluating large degree isogenies between ellip...
IACR
2011
12 years 4 months ago
2011
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...
ANTS
2000
Springer
13 years 9 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...