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  How Secure Are Elliptic Curves over Composite Extension Fields (2001) [16 citations — 3 self]

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by N. P. Smart
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Abstract:

How secure are elliptic curves over composite extension fields? smart

Citations

386 Elliptic curve cryptosystems – Koblitz - 1987
301 Use of elliptic curves in cryptography – Miller - 1985
148 Monte Carlo methods for index computation (mod p – Pollard - 1978
104 Hyperelliptic Cryptosystems – Koblitz
98 Advances in elliptic curve cryptography – Blake, Seroussi, et al. - 2005
95 Parallel Collision Search with Cryptanalytic Applications – Oorschot, Wiener - 1999
80 Constructive and destructive facets of Weil descent on elliptic curves – Gaudry, Hess, et al. - 2000
17 Analysis of the Weil descent attack of Gaudry – Menezes, Qu - 2001
14 The solution of McCurley's discrete log challenge – Weber, Denny - 1998
12 An algorithm of subexponential type computing the class group of quadratic orders over principal ideal domains, Algorithmic Number Theory - ANTSII (Université Bordeaux I – Paulus
12 Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves – Paulus, Stein - 1998
10 An algorithm for solving the discrete logarithm problem on hyperelliptic curves – Gaudry - 2000
6 How to disguise an elliptic curve. Talk at Waterloo workshop on the ECDLP – Frey - 1998
5 Euclid's algorithm and the Lanczos method over finite fields – Teitelbaum - 1998
4 The Oakley Key Determination Protocol – IETF - 1998
4 Recommended Elliptic Curve Domain Parameters. Standards for Ecient Cryptography Group – SEC - 1999
3 A cryptographic application of Weil descent. Cryptography and – Galbraith, Smart - 1999