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Designs, Codes and Cryptography

Erschienen in:

21.03.2018

Non-symmetric 2-designs admitting a two-dimensional projective linear group

verfasst von: Xiaoqin Zhan, Shenglin Zhou

Erschienen in: Designs, Codes and Cryptography | Ausgabe 12/2018

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This paper is a contribution to the study of non-symmetric 2-designs admitting a flag-transitive automorphism group. We prove that if \(\mathcal {D}\) is a non-trivial non-symmetric 2-\((v, k, \lambda )\) design with \((r,\lambda ) = 1\) and \(G=PSL(2,q)\) acts flag-transitively on \(\mathcal {D}\), then up to isomorphism \(\mathcal {D}\) is a unique Witt-Bose-Shrikhande space, a unique 2-(6, 3, 2) design, a unique 2-(8, 4, 3) design, a unique 2-(10, 6, 5) design, or a unique 2-(28, 7, 2) design.

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Titel: Non-symmetric 2-designs admitting a two-dimensional projective linear group
verfasst von: Xiaoqin Zhan
Shenglin Zhou
Publikationsdatum: 21.03.2018
Verlag: Springer US
Erschienen in: Designs, Codes and Cryptography / Ausgabe 12/2018
Print ISSN: 0925-1022
Elektronische ISSN: 1573-7586
DOI: https://doi.org/10.1007/s10623-018-0474-5

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