In this paper we show that a 2-(22, 8, 4) design does not exist. This result was obtained by a computer search.

Publication Date



This is the peer reviewed version of the following article:

Bilous, R. , Lam, C. W., Thiel, L. H., Li, (. P., van Rees, G. H., Radziszowski, S. P., Holzmann, W. H. and Kharaghani, H. (2007), There is no 2‐(22, 8, 4) block design. J. Combin. Designs, 15: 262-267.

which has been published in final form at doi:10.1002/jcd.20132. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.

Copyright © 2006 Wiley Periodicals, Inc.

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Department, Program, or Center

Center for Advancing the Study of CyberInfrastructure


RIT – Main Campus