J. H. Cheon, S. G. Hahn, and H. J. Kim, Analogue of the index calculus for elliptic discrete logarithm, preprint.  Home/Search   Document Not in Database   Summary   Related Articles

....calculus on its head. 1 Recall that the ECDLP is the problem, given two points P; Q on an elliptic curve over F p , of finding an integer w such that Q = wP . Very briefly, Silverman s idea was to take r random 1 At about the same time, some similar ideas were developed independently in Korea [4]. linear combinations of the two points P; Q, where 2 r 9 (most likely r = 4, 5 or 6) and then consider points P i with rational coordinates that reduce modulo p to these r points and elliptic curves E over the rational number field Q that pass through all of the P i and reduce mod p to the ....

J. H. Cheon, S. G. Hahn, and H. J. Kim, Analogue of the index calculus for elliptic discrete logarithm, preprint.

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