Classification of cubic surfaces with twenty-seven lines over the finite field of order thirteen View Full Text


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Article Info

DATE

2017-09-27

AUTHORS

Anton Betten, James W. P. Hirschfeld, Fatma Karaoglu

ABSTRACT

In Hirschfeld (J Austral Math Soc 4(1):83–89, 1964), the existence of the cubic surface which arises from a double-six over the finite field of order four was considered. In Hirschfeld (Rend Mat Appl 26:115–152, 1967), the existence and the properties of the cubic surfaces over the finite fields of odd and even order was discussed and classified over the fields of order seven, eight, nine. In this paper, cubic surfaces with twenty-seven lines over the finite field of thirteen elements are classified. More... »

PAGES

37-50

References to SciGraph publications

  • 2015-04-10. The packings of PG(3,3) in DESIGNS, CODES AND CRYPTOGRAPHY
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    http://scigraph.springernature.com/pub.10.1007/s40879-017-0182-0

    DOI

    http://dx.doi.org/10.1007/s40879-017-0182-0

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