A Probabilistic Baby-Step Giant-Step Algorithm
January 25, 2017 Β· Declared Dead Β· π International Conference on Security and Cryptography
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Authors
Prabhat Kushwaha, Ayan Mahalanobis
arXiv ID
1701.07172
Category
cs.CR: Cryptography & Security
Citations
4
Venue
International Conference on Security and Cryptography
Last Checked
4 months ago
Abstract
In this paper, a new algorithm to solve the discrete logarithm problem is presented which is similar to the usual baby-step giant-step algorithm. Our algorithm exploits the order of the discrete logarithm in the multiplicative group of a finite field. Using randomization with parallelized collision search, our algorithm indicates some weakness in NIST curves over prime fields which are considered to be the most conservative and safest curves among all NIST curves.
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