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## Section: New Results

### Individual Logarithm Step in Non-prime Fields

Participant : Aurore Guillevic.

In [20], the previous work [33] on speeding-up the first phase of the individual discrete logarithm computation, the initial splitting, a.k.a. smoothing phase, is extended to any non-prime finite field ${𝔽}_{{p}^{n}}$ where $n$ is composite. It is also applied to the new variant Tower-NFS.