Elliptic curves in cryptography
Elliptic curves in cryptography
Elliptic Curve Public Key Cryptosystems
Elliptic Curve Public Key Cryptosystems
Isogeny Volcanoes and the SEA Algorithm
ANTS-V Proceedings of the 5th International Symposium on Algorithmic Number Theory
Guide to Elliptic Curve Cryptography
Guide to Elliptic Curve Cryptography
On Avoiding ZVP-Attacks Using Isogeny Volcanoes
Information Security Applications
| Hi-index | 0.00 |
The security of most elliptic curve cryptosystems is based on the intractability of the Elliptic Curve Discrete Logarithm Problem (ECDLP). Such a problem turns out to be computationally unfeasible when elliptic curves are suitably chosen. This paper provides an algorithm to obtain cryptographically good elliptic curves from a given one. The core of such a procedure lies on the usage of successive chains of isogenies, visiting different volcanoes of isogenies which are located in different l-cordilleras.