On the Existence of Simple BIBDs with Number of Elements a Prime Power

Authors

Errata

This article is corrected by:

  1. Errata: Correction to: “On the Existence of Simple BIBDs with Number of Elements a Prime Power” Volume 21, Issue 10, 478–479, Article first published online: 8 July 2013

Abstract

We show that, when the number of elements is a prime power q, in many situations the necessary conditions

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  2. inline image, and
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are also sufficient for the existence of a inline image simple balanced incomplete block design.

Ancillary