Some new 2-(17,4,3) and 2-(52,13,4) designs

Glasnik Matematicki, Vol. 36, No.1 (2001), 169-175.

SOME NEW 2-(17,4,3) AND 2-(52,13,4) DESIGNS

Dean Crnković and Sanja Rukavina

Department of Mathematics, Faculty of Philosophy, Omladinska 14, 51000 Rijeka, Croatia
e-mail: deanc@mapef.pefri.hr
e-mail: sanjar@mapef.pefri.hr

Abstract. We have constructed 377 non-isomorphic 2-(17,4,3) designs as derived and 649 non-isomorphic 2-(52,13,4) designs as residual designs of symmetric (69,17,4) designs admitting an action of Z₆.

1991 Mathematics Subject Classification. 05B05.

Key words and phrases. Symmetric design, residual design, derived design, automorphism, orbit structure.

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