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Erschienen in: Designs, Codes and Cryptography 2/2014

01.08.2014

Transitive \(\text{ PSL}(2,7)\)-invariant 42-arcs in 3-dimensional projective spaces

verfasst von: Angelo Sonnino

Erschienen in: Designs, Codes and Cryptography | Ausgabe 2/2014

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Abstract

We construct an infinite family of transitive 42-arcs in \(\text{ PG}(3,q^{2})\), with \(q=p^{n}\ge 29\) and \(q\equiv 1\pmod {7}\), under the action of the group \(\text{ PSL}(2,7)\) in its representation as a subgroup of \(\text{ PGL}(4,q)\). Further, we study the case \(q=29\) in detail with computer assistance. For \(q=29\) these 42-arcs turn out to be complete.
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Metadaten
Titel
Transitive -invariant 42-arcs in 3-dimensional projective spaces
verfasst von
Angelo Sonnino
Publikationsdatum
01.08.2014
Verlag
Springer US
Erschienen in
Designs, Codes and Cryptography / Ausgabe 2/2014
Print ISSN: 0925-1022
Elektronische ISSN: 1573-7586
DOI
https://doi.org/10.1007/s10623-012-9778-z

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