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Near-rings (MDS)- and Laguerre codes

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Abstract

(MDS)- and Laguerre codes are closely related to geometry and can be used in order to construct certain finite incidence structures. Here we present some structure theorems on near rings, introduce the notion of a “coding set” of a near ring, which enables us to construct (MDS)-codes, and discuss the same problem for Laguerre codes. To find non trivial “Laguerre sets” in a near ring is much more difficult.

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Authors and Affiliations

  1. Mathematisches Institut, Technische Universität München, Arcisstr. 21, D-8000, München 2

    Helmut Karzel

  2. School of Information Engineering, Teesside Polytechnic, TS1 3BA, Middlesbrough, Cleveland, England

    Alan Oswald

Authors
  1. Helmut Karzel
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  2. Alan Oswald
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Dedicated to Giuseppe Tallini on the occasion of his 60 th birthday

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Karzel, H., Oswald, A. Near-rings (MDS)- and Laguerre codes. J Geom 37, 105–117 (1990). https://doi.org/10.1007/BF01230364

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  • DOI: https://doi.org/10.1007/BF01230364

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