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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…