Some characterizations of quasi-symmetric designs with a spread

Sane, S. S. ; Shrikhande, M. S. (1993) Some characterizations of quasi-symmetric designs with a spread Designs, Codes and Cryptography, 3 (2). pp. 155-166. ISSN 0925-1022

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Official URL: http://www.springerlink.com/content/m1868554544219...

Related URL: http://dx.doi.org/10.1007/BF01388414

Abstract

The design PG2(4,q) of the points and planes of PG (4, q) forms a quasi-symmetric 2-design with block intersection numbers x=1 and y=q+1. We give some characterizations of quasi-symmetric designs with x=1 which have a spread through a fixed point. For instance, it is proved that if such a design D is also smooth, then D ≅ PG2 (4, q).

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