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Inner product vectors for Skew-Hadamard matrices

Conference Paper


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.

UOW Authors


  •   Kotsireas, Ilias S. (external author)
  •   Seberry, Jennifer
  •   Suharini, Yustina (external author)

Publication Date


  • 2015

Citation


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

Scopus Eid


  • 2-s2.0-84945973680

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5213

Start Page


  • 171

End Page


  • 187

Place Of Publication


  • Switzerland

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.

UOW Authors


  •   Kotsireas, Ilias S. (external author)
  •   Seberry, Jennifer
  •   Suharini, Yustina (external author)

Publication Date


  • 2015

Citation


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

Scopus Eid


  • 2-s2.0-84945973680

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5213

Start Page


  • 171

End Page


  • 187

Place Of Publication


  • Switzerland