Cubic surfaces over small finite fields

DOI10.1007/s10623-018-0590-2zbMath1409.05043OpenAlexW2902940453WikidataQ128896007 ScholiaQ128896007MaRDI QIDQ670214

Anton Betten, Fatma Karaoglu

Publication date: 18 March 2019

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-018-0590-2

zbMATH Keywords

classificationfinite fieldcubic surfacedouble-six

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Families, moduli, classification: algebraic theory (14J10) Other finite nonlinear geometries (51E25)

Related Items (4)

The number of cubic surfaces with 27 lines over a finite field ⋮ The Eckardt point configuration of cubic surfaces revisited ⋮ Nonsingular cubic surfaces over F2k ⋮ Smooth cubic surfaces with 15 lines

Uses Software

• GAP
• Orbiter
• GitHub

Cites Work

• Classifying cubic surfaces over finite fields using Orbiter
• How fast can we compute orbits of groups?
• Classification of cubic surfaces with twenty-seven lines over the finite field of order thirteen
• Rainbow cliques and the classification of small BLT-sets
• Counting with groups and rings.
• Permutation Groups and Cartesian Decompositions
• The double-six of lines over PG (3, 4)
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