Turyn type Williamson matrices up to order 99

Authors:
Wolfgang Lang;Ekkehard Schneider
Affiliations:
Faculty of Business and Economics, Berlin School of Economics and Law, Berlin, Germany 10825;Department 4, HTW Berlin, University of Applied Sciences, Berlin, Germany 10313
Venue:
Designs, Codes and Cryptography
Year:
2012

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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.