Inner product vectors for Skew-Hadamard matrices

Authors

Ilias S. Kotsireas, Wilfrid Laurier UniversityFollow
Jennifer Seberry, University of WollongongFollow
Yustina S. Suharini, Institute of Technology IndonesiaFollow

RIS ID

103910

Publication Details

Kotsireas, I. S., Seberry, J. & Suharini, Y. S. (2015). Inner product vectors for Skew-Hadamard matrices. Springer Proceedings in Mathematics and Statistics: Algebraic Design Theory and Hadamard Matrices (pp. 171-187). Switzerland: Springer.

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.