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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Evaluation of discrete logarithms
in a group of $p$-torsion points
of an elliptic curve in characteristic $p$


Author: I. A. Semaev
Journal: Math. Comp. 67 (1998), 353-356
MSC (1991): Primary 94A60
MathSciNet review: 1432133
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Abstract: We show that to solve the discrete log problem in a subgroup of order $p$ of an elliptic curve over the finite field of characteristic $p$ one needs $O(\ln p)$ operations in this field.


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Additional Information

I. A. Semaev
Affiliation: 43-2 Profsoyusnaya ul., Apt. 723, 117420 Moscow, Russia

DOI: http://dx.doi.org/10.1090/S0025-5718-98-00887-4
PII: S 0025-5718(98)00887-4
Keywords: Cryptography, elliptic curves, discrete logarithms
Received by editor(s): August 30, 1995
Received by editor(s) in revised form: September 11, 1996
Article copyright: © Copyright 1998 American Mathematical Society