Abstract
Algorithms to find new orders of skew-Hadamard matrices by complete searches are not efficient and require extensive CPU time. We consider a method relying on pre-calculation of inner product vectors aiming to reduce the search space. We apply our method to the algorithm of Seberry–Williamson to construct skew-Hadamard matrices. We find all possible solutions for ≤ 29. We use these results to improve analysis in order to reduce the search space.
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Dedicated to Hadi Kharaghani on the occasion on his 70th birthday
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Kotsireas, I.S., Seberry, J., Suharini, Y.S. (2015). Inner Product Vectors for Skew-Hadamard Matrices. In: Colbourn, C. (eds) Algebraic Design Theory and Hadamard Matrices. Springer Proceedings in Mathematics & Statistics, vol 133. Springer, Cham. https://doi.org/10.1007/978-3-319-17729-8_14
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DOI: https://doi.org/10.1007/978-3-319-17729-8_14
Publisher Name: Springer, Cham
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