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Designs, Codes and Cryptography

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01.07.2014

Some large partial ovoids of \(Q^-(5,q)\), for odd \(q\)

verfasst von: Kris Coolsaet

Erschienen in: Designs, Codes and Cryptography | Ausgabe 1/2014

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Abstract

We give explicit descriptions of some of the largest partial ovoids of \(Q^-(5,q)\) currently known (for \(q\) odd). Apart from two generic constructions, the other (sporadic) examples are for fields of order \(q \le 11\). As far as we know, most of these results are new. Others were found earlier by computer but have never been described explicitly. All our constructions are formulated using elliptic quadratic forms that are not in standard form.

Vorheriger Artikel The largest Erdős-Ko-Rado sets of planes in finite projective and finite classical polar spaces

Nächster Artikel The non-existence of some NMDS codes and the extremal sizes of complete -arcs in

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Titel: Some large partial ovoids of , for odd
verfasst von: Kris Coolsaet
Publikationsdatum: 01.07.2014
Verlag: Springer US
Erschienen in: Designs, Codes and Cryptography / Ausgabe 1/2014
Print ISSN: 0925-1022
Elektronische ISSN: 1573-7586
DOI: https://doi.org/10.1007/s10623-013-9828-1

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