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Hyperbolic Fibrations and q-Clans

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Abstract

We show there is a bijection between regular hyperbolic fibrations with constant back half and normalized q-clans. Thus there is also a bijection with flocks of a quadratic cone, once a conic of the flock has been specified. This yields a plethora of two-dimensional translation planes of even and odd order which arise from spreads admitting a regular elliptic cover.

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Authors and Affiliations

  1. Department of Mathematics, West Virginia State College, Institute, WV, 25112, USA

    R. D. Baker

  2. Department of Math. Sci., Univ. of Delaware, Newark, DE, 19716, USA

    G. L. Ebert

  3. Department of Mathematics and Statistics, Univ. of Western Australia, WA, 6907, Australia

    Tim Penttila

Authors
  1. R. D. Baker
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  2. G. L. Ebert
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  3. Tim Penttila
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Baker, R.D., Ebert, G.L. & Penttila, T. Hyperbolic Fibrations and q-Clans. Des Codes Crypt 34, 295–305 (2005). https://doi.org/10.1007/s10623-004-4861-8

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  • DOI: https://doi.org/10.1007/s10623-004-4861-8

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