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  • The Inria's Research Teams produce an annual Activity Report presenting their activities and their results of the year. These reports include the team members, the scientific program, the software developed by the team and the new results of the year. The report also describes the grants, contracts and the activities of dissemination and teaching. Finally, the report gives the list of publications of the year.

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Section: New Results

A simplified approach to rigorous degree 2 elimination in discrete logarithm algorithms

In [10], we revisit the ZigZag strategy of Granger, Kleinjung and Zumbrägel. In particular, we provide a new algorithm and proof for the so-called degree 2 elimination step. This allows us to provide a stronger theorem concerning discrete logarithm computations in small characteristic fields Fqk0k with k close to q and k0 a small integer. As in the aforementioned paper, we rely on the existence of two polynomials h0 and h1 of degree 2 providing a convenient representation of the finite field Fqk0k.