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arXiv 2009-12-08 2 views

q-Analogs for Steiner Systems and Covering Designs

Etzion, Tuvi · Vardy, Alexander

Original · EN

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.

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