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Turyn type Williamson matrices up to order 99

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Abstract

In 2008 Holzmann et al. introduced a new algorithm to search for symmetric circulant Williamson matrices. We adapted the algorithm for Turyn type Williamson matrices. For each order up to 99 where Turyn type Williamson matrices exist our computer search found, up to equivalence, exactly one such matrix.

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Authors and Affiliations

  1. Faculty of Business and Economics, Berlin School of Economics and Law, Badensche Str. 50/51, 10825, Berlin, Germany

    Wolfgang Lang

  2. Department 4, HTW Berlin, University of Applied Sciences, 10313, Berlin, Germany

    Ekkehard Schneider

Authors
  1. Wolfgang Lang
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  2. Ekkehard Schneider
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Correspondence to Ekkehard Schneider.

Additional information

Communicated by C. J. Colbourn.

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Lang, W., Schneider, E. Turyn type Williamson matrices up to order 99. Des. Codes Cryptogr. 62, 79–84 (2012). https://doi.org/10.1007/s10623-011-9492-2

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  • DOI: https://doi.org/10.1007/s10623-011-9492-2

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