Isogeny cordillera algorithm to obtain cryptographically good elliptic curves
ACSW Frontiers(2007)
摘要
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.
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关键词
different volcano,elliptic curve,elliptic curve discrete logarithm,elliptic curve cryptosystems,isogeny cordillera algorithm,successive chain,computationally unfeasible,different l-cordilleras,cryptographically good elliptic curve,elliptic curves,cryptography
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