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International Conference on Learning and Intelligent Optimization

LION 2014: Learning and Intelligent Optimization pp 383–390Cite as

A New Existence Condition for Hadamard Matrices with Circulant Core

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8426))

Abstract

We derive a new existence condition for Hadamard matrices with circulant core, in terms of resultants, Hall polynomials and cyclotomic polynomials. The derivation of this condition is based on a formula for the determinant of a circulant matrix and properties of resultants.

This research is partially supported by NSF, AirForce and NSERC grants.

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Author information

Authors and Affiliations

  1. Department of Physics and Computer Science, Wilfrid Laurier University, Waterloo, Canada

    Ilias S. Kotsireas

  2. Industrial and Systems Engineering Department, Center for Applied Optimization, Gainesville, USA

    Panos M. Pardalos

Authors
  1. Ilias S. Kotsireas
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  2. Panos M. Pardalos
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Corresponding author

Correspondence to Ilias S. Kotsireas .

Editor information

Editors and Affiliations

  1. Department of Industrial and Systems Engineering, University of Florida, Gainesville, Florida, USA

    Panos M. Pardalos

  2. AT&T Labs Research, Middletown, New Jersey, USA

    Mauricio G.C. Resende

  3. University of Florida, Gainesville, Florida, USA

    Chrysafis Vogiatzis

  4. Department of Industrial and Systems Engineering, University of Florida, Gainesville, Florida, USA

    Jose L. Walteros

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© 2014 Springer International Publishing Switzerland

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Kotsireas, I.S., Pardalos, P.M. (2014). A New Existence Condition for Hadamard Matrices with Circulant Core. In: Pardalos, P., Resende, M., Vogiatzis, C., Walteros, J. (eds) Learning and Intelligent Optimization. LION 2014. Lecture Notes in Computer Science(), vol 8426. Springer, Cham. https://doi.org/10.1007/978-3-319-09584-4_33

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  • DOI: https://doi.org/10.1007/978-3-319-09584-4_33

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09583-7

  • Online ISBN: 978-3-319-09584-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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