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On Automorphisms of Some d-Dimensional Dual Hyperovals in PG(d(d + 3)/2, 2) | Graphs and Combinatorics Skip to main content
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On Automorphisms of Some d-Dimensional Dual Hyperovals in PG(d(d + 3)/2, 2)

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Abstract

In [3], a new d-dimensional dual hyperoval S in PG(d(d + 3)/2, 2) for d ≥ 3 was constructed based on Veronesean dual hyperoval. In this note, we determine the automorphism group of the dual hyperoval S.

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References

  1. Huybrechts, C., Pasini, A.: Frag-transitive extensions of dual affine spaces. Contributions to Algebra and Geometry. 40(2), 503–531 (1999)

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  2. Taniguchi, H.: On a family of dual hyperovals over G F(q) with q even. European Journal of Combinatorics. 26, 195–199 (2005)

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  3. Taniguchi, H.: A new family of dual hyperovals in PG(d(d + 3)/2, 2) with d ≥ 3 to appear in Discrete Mathematics

  4. Yoshiara, S.: Notes on Taniguchi’s dimensional dual hyperovals. European Journal of Combinatorics. 28, 674–684 (2007)

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Authors and Affiliations

  1. Takuma National College of Technology, 551 takuma, Kagawa, 769-1192, Japan

    Hiroaki Taniguchi

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  1. Hiroaki Taniguchi
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Correspondence to Hiroaki Taniguchi.

Additional information

Received: January 26, 2007. Final Version received: January 7, 2008.

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Taniguchi, H. On Automorphisms of Some d-Dimensional Dual Hyperovals in PG(d(d + 3)/2, 2). Graphs and Combinatorics 24, 229–236 (2008). https://doi.org/10.1007/s00373-008-0781-0

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  • DOI: https://doi.org/10.1007/s00373-008-0781-0

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