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Primitive elements in finite fields and costas arrays

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract

In [7] Golomb made four conjectures concerning the existence of pairs of primitive elements in finite fields. In this note we resolve each of the conjectures in the affirmative. As a consequence several conjectured classes of Costas arrays do indeed exist.

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Authors and Affiliations

  1. Department of Mathematics, University of Glasgow, University Gardens, G12 8QW, Glasgow, Scotland

    Stephen D. Cohen

  2. Mathematics Department, The Pennsylvania State University, 16802, University Park, PA, USA

    Gary L. Mullen

Authors
  1. Stephen D. Cohen
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  2. Gary L. Mullen
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Additional information

This author would like to thank the National Security Agency for partial support under grant agreement #MDA904-87-H-2023

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Cohen, S.D., Mullen, G.L. Primitive elements in finite fields and costas arrays. AAECC 2, 45–53 (1991). https://doi.org/10.1007/BF01810854

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  • DOI: https://doi.org/10.1007/BF01810854

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