F. Lehmann, M. Maurer, V. Muller, and V. Shoup. eco - a tool for elliptic curve group order computations, 1997. TI, Technische Universitat Darmstadt. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Speeding Up Pollard's Rho Method For Computing Discrete Logarithms - Teske (1998) (20 citations) (Correct)
....a number l, 2 l 20, randomly choose a prime q between 10 l and 10 l 1 , then randomly chose a; b 2 (F q ) and check whether 4a 3 27b 2 6= 0 mod q. If this is the case, we use our implementation for the group structure computation [17] or, for primes q 10 9 , the implementation [8] of an algorithm of Atkin [1] to compute the order n of E a;b (F q ) Finally we factor n to find p and k. Having built up this file, for k = 3; 4; 13 we go through the following algorithm: 1. Read 6 tuple (q; a; b; n; p; k) from file. 2. Use the algorithm for group structure ....
F. Lehmann, M. Maurer, V. Muller, and V. Shoup. eco - a tool for elliptic curve group order computations, 1997. TI, Technische Universitat Darmstadt.
Speeding up Pollard's Rho Method for Computing Discrete Logarithms - Teske (1998) (20 citations) (Correct)
....a number l, 2 l 20, randomly choose a prime q between 10 l and 10 l 1 , then randomly chose a; b 2 (IF q ) and check whether 4a 3 27b 2 6= 0 mod q. If this is the case, we use our implementation for the group structure computation [17] or, for primes q 10 9 , the implementation [8] of an algorithm of Atkin [1] to compute the order n of E a;b (IF q ) Finally we factor n to find p and k. Having built up this file, for k = 3; 4; 13 we go through the following algorithm: 1. Read 6 tuple (q; a; b; n; p; k) from file. 2. Use the algorithm for group structure computation ....
F. Lehmann, M. Maurer, V. Muller, and V. Shoup. eco - a tool for elliptic curve group order computations, 1997. TI, Technische Universitat Darmstadt.
Speeding up Pollard's Rho Method for Computing Discrete Logarithms - Teske (1998) (20 citations) (Correct)
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F. Lehmann, M. Maurer, V. Muller, and V. Shoup. eco - a tool for elliptic curve group order computations, 1997. TI, Technische Universitat Darmstadt.
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