Inria Bordeaux

Paper 2024/517 , Inria Bordeaux - Sud-Ouest Research Centre, Institut de Mathématiques de Bordeaux Abstract Biextensions associated to line bundles on abelian varieties allows to reinterpret the usual Weil, Tate, Ate, optimal Ate, \ldots, pairings as monodromy pairings. We introduce a cubical arithmetic, derived from the canonical cubical torsor structure of these line bundles, to obtain an efficient arithmetic of these biextensions.

Paper 2024/406 Some notes on algorithms for abelian varieties Damien Robert, Inria Bordeaux - Sud-Ouest Research Centre, Institut de Mathématiques de Bordeaux Abstract A compilation of various notes written over the years on some algorithms on abelian varieties.

Paper 2024/353 , German Aerospace Center (DLR), University of St. Gallen , Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest Research Centre FuLeeca is a signature scheme submitted to the recent NIST call for additional signatures. It is an efficient hash-and-sign scheme based on quasi-cyclic codes in the Lee metric and resembles the lattice-based signature Falcon.