155 citations · 475 across the 22 of their papers we have counts for
4 papers · 1 filter
Towards a function field version of Freiman's Theorem
Christine Bachoc, Alain Couvreur, Gilles Zémor
We discuss a multiplicative counterpart of Freiman's theorem in the context of a function field over an algebraically closed field . Such a theorem would give a preci…
Revisiting Kneser's Theorem for Field Extensions
Christine Bachoc, Oriol Serra, Gilles Zémor
A Theorem of Hou, Leung and Xiang generalised Kneser's addition Theorem to field extensions. This theorem was known to be valid only in separable extensions, and it was a conjectur…
An analogue of Vosper's Theorem for Extension Fields
Christine Bachoc, Oriol Serra, Gilles Zemor
We are interested in characterising pairs of -linear subspaces in a field extension such that the linear span of the set of products of elements of and of e…
Designs, groups and lattices
Christine Bachoc
We study the Grassmannian 4-designs contained in lattices, in connection with the local property of the Rankin constant. We prove that the sequence of Barnes-Wall lattices contain…