4 citations · 5 across the 2 of their papers we have counts for
5 papers
On skew polynomial codes and lattices from quotients of cyclic division algebras
Jérôme Ducoat, Frédérique Oggier
We propose a variation of Construction A of lattices from linear codes defined using the quotient of some order inside a cyclic division -algebra, for $\mat…
Rank weight hierarchy of some classes of cyclic codes
Jérôme Ducoat, Frédérique Oggier
We study the rank weight hierarchy, thus in particular the rank metric, of cyclic codes over the finite field , a prime power, . We establish the ran…
Generalized rank weights : a duality statement
Jérôme Ducoat
We consider linear codes over some fixed finite field extension over an arbitrary finite field. Gabidulin introduced rank metric codes, by endowing linear codes over the extension…
Cohomological invariants of classical Weyl groups modulo 2
Jérôme Ducoat
In a previous paper, we showed that all the cohomological invariants of Weyl groups are completely determined by their restrictions to the abelian subgroups generated by reflection…
Cohomological invariants of finite Coxeter groups
Jérôme Ducoat
In this paper, we generalize Serre's splitting theorem for cohomological invariants of the symmetric group to finite Coxeter groups, provided that the ground field has characterist…