The nonexistence of projective planes of order 12 with a collineation group of order 16

  • Authors:

  • Chihiro Suetake

  • Affiliations:

  • Department of Mechanical Engineering, Fukushima National College of Technology, Iwaki, Fukushima 970-8034, Japan

  • Venue:
  • Journal of Combinatorial Theory Series A
  • Year:
  • 2004

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Abstract

In this article, we prove that there is no projective plane of order 12 admitting a collineation group of order 16 by showing the nonexistence of some orthogonal arrays OA (72,12, 6, 2). We used a computer for our research.