منابع مشابه
Weil Descent Of Jacobians
The technique of Weil restriction of scalars has signiicant implications for elliptic curve cryptography. In this paper we apply these ideas to the case of the discrete logarithm problem in the Jacobian of a curve of genus greater than one over a nite eld F q n where n > 1.
متن کاملBackground on Weil Descent
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متن کاملWeil Descent Attacks
This article is to appear as a chapter in Advances in Elliptic Curve Cryptography, edited by I. Blake, G. Seroussi and N. Smart, Cambridge University Press, 2004. It summarises the main aspects of the existing literature on Weil descent attacks and contains some new material on the GHS attack in even characteristic.
متن کاملA Cryptographic Application of Weil Descent
This paper gives some details about how Weil descent can be used to solve the discrete logarithm problem on elliptic curves which are de ned over nite elds of small characteristic. The original ideas were rst introduced into cryptography by Frey. We discuss whether these ideas are a threat to existing public key systems based on elliptic curves.
متن کاملAn Extension of GHS Weil Descent Attack
The Weil descent attack, suggested by Frey, has been implemented by Gaudry, Hess and Smart (the so-called GHS attack), on elliptic curves over finite fields of characteristic two of composite degrees. The GHS attack has been extended by Galbraith to hyperelliptic curves of characteristic two. Recently, Diem presented a general treatment of GHS attack to hyperelliptic curves over finite fields o...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2003
ISSN: 0166-218X
DOI: 10.1016/s0166-218x(02)00443-2