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Title:
On the discrete logarithm problem in finite fields of fixed characteristic
Authors: Robert Granger, Thorsten Kleinjung, Jens Zumbrägel
Abstract:For q a prime power, the discrete logarithm problem (DLP) in \mathbb{F}_{q}^{\times} consists in finding, for any g \in \mathbb{F}_{q}^{\times} and h \in \langle g \rangle, an integer x such that g^x = h. For each prime p we exhibit infinitely many extension fields \mathbb{F}_{p^n} for which the DLP in \mathbb{F}_{p^n}^{\times} can be solved in expected quasi-polynomial time.
ePrint: https://eprint.iacr.org/2015/685
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