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Affine MDS-codes on Groups

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Abstract

We consider the problem of determining the maximum length of affine MDS-codes on a given finite group G. We show that this problem is closely connected with problems concerning sets of automorphisms of G. For abelian groups the problem is solved. The maximum length is given in terms of invariants of the group.

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Authors and Affiliations

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

    Helmut Karzel & Carl J. Maxson

  2. Department of Mathematics, Texas A&M University, 77843, College Station, Texas, USA

    Helmut Karzel & Carl J. Maxson

Authors
  1. Helmut Karzel
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  2. Carl J. Maxson
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Additional information

Dedicated to Oswald Giering on the occasion of his 60 th birthday

This work was done while the second author was visiting Technische Universität München. He wishes to thank the Technische Universität for its hospitality and the DAAD for financial assistance.

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Karzel, H., Maxson, C.J. Affine MDS-codes on Groups. J Geom 47, 65–76 (1993). https://doi.org/10.1007/BF01223805

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  • DOI: https://doi.org/10.1007/BF01223805

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