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Non Existence of Triangle Free Quasi-symmetric Designs

Author： Pawale Rajendra

Publisher： Springer Publishing Company

ISSN： 0925-1022

Source： Designs, Codes and Cryptography, Vol.37, Iss.2, 2005-11, pp. : 347-353

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

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Abstract

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

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