Non Existence of Triangle Free Quasi-symmetric Designs

Authors:
Rajendra M. Pawale
Affiliations:
Sathaye College, Mumbai, India 400 057
Venue:
Designs, Codes and Cryptography
Year:
2005

Citing 6
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Abstract

The following two results are proved. Let D be a triangle free quasi-symmetric design with k=2y驴x and x驴 1 then D is a trivial design with v=5 and k=3. There do no exist triangle free quasi-symmetric designs with x驴 1 and 驴=y or 驴=y驴1.