3 papers
cs.IT2015
On Group Violations of Inequalities in five Subgroups
Nadya Markin, Eldho K. Thomas, Frederique Oggier
We consider ten linear rank inequalities, which always hold for ranks of vector subspaces, and look at them as group inequalities. We prove that groups of order pq, for p,q two dis…
math.GR2013
Explicit Constructions of Quasi-Uniform Codes from Groups
Eldho K. Thomas, Frederique Oggier
We address the question of constructing explicitly quasi-uniform codes from groups. We determine the size of the codebook, the alphabet and the minimum distance as a function of th…
math.GR2012
On Abelian Group Representability of Finite Groups
Eldho K. Thomas, Nadya Markin, Frédérique Oggier
A set of quasi-uniform random variables may be generated from a finite group and of its subgroups, with the corresponding entropic vector depending on the sub…