52 citations · 134 across the 30 of their papers we have counts for
4 papers · 1 filter
Right-hand side decoding of Gabidulin code and applications
Maxime Bombar, Alain Couvreur
We discuss the decoding of Gabidulin and interleaved Gabidulin codes. We give the full presentation of a decoding algorithm for Gabidulin codes, which as Loidreau's seminal algorit…
How arithmetic and geometry make error correcting codes better
Alain Couvreur
This note completes a talk given at the conference Curves over Finite Fields: past, present and future celebrating the publication the book {\em Rational Points on Curves over Fini…
Decoding supercodes of Gabidulin codes and applications to cryptanalysis
Maxime Bombar, Alain Couvreur
This article discusses the decoding of Gabidulin codes and shows how to extend the usual decoder to any supercode of a Gabidulin code at the cost of a significant decrease of the d…
Recovering or Testing Extended-Affine Equivalence
Anne Canteaut, Alain Couvreur, Léo Perrin
Extended Affine (EA) equivalence is the equivalence relation between two vectorial Boolean functions and such that there exist two affine permutations , , and an affi…