%0 Journal Article
%T $q$-Analogs for Steiner Systems and Covering Designs
%A Tuvi Etzion
%A Alexander Vardy
%J Mathematics
%D 2009
%I arXiv
%X The $q$-analogs of basic designs are discussed. It is proved that the existence of any unknown Steiner structures, the $q$-analogs of Steiner systems, implies the existence of unknown Steiner systems. Optimal $q$-analogs covering designs are presented. Some lower and upper bounds on the sizes of $q$-analogs covering designs are proved.
%U http://arxiv.org/abs/0912.1503v2