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A construction for {0,1,-1} orthogonal matrices visualized

Journal Article


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Abstract


  • © Springer International Publishing AG, part of Springer Nature 2018. Propus is a construction for orthogonal ±1 matrices, which is based on a variation of the Williamson array, called the propus array. (formula presented) This array showed how a picture made is easy to see the construction method. We have explored further how a picture is worth ten thousand words. We give variations of the above array to allow for more general matrices than symmetric Williamson propus matrices. One such is the Generalized Propus Array (GP).

Publication Date


  • 2018

Citation


  • Balonin, N. & Seberry, J. (2018). A construction for {0,1,-1} orthogonal matrices visualized. Lecture Notes in Computer Science, 10765 47-57. Newcastle 17-21 July, 2017 28th International Workshop, IWOCA 2017

Scopus Eid


  • 2-s2.0-85045980330

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=2373&context=eispapers1

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers1/1371

Number Of Pages


  • 10

Start Page


  • 47

End Page


  • 57

Volume


  • 10765

Place Of Publication


  • Switzerland

Abstract


  • © Springer International Publishing AG, part of Springer Nature 2018. Propus is a construction for orthogonal ±1 matrices, which is based on a variation of the Williamson array, called the propus array. (formula presented) This array showed how a picture made is easy to see the construction method. We have explored further how a picture is worth ten thousand words. We give variations of the above array to allow for more general matrices than symmetric Williamson propus matrices. One such is the Generalized Propus Array (GP).

Publication Date


  • 2018

Citation


  • Balonin, N. & Seberry, J. (2018). A construction for {0,1,-1} orthogonal matrices visualized. Lecture Notes in Computer Science, 10765 47-57. Newcastle 17-21 July, 2017 28th International Workshop, IWOCA 2017

Scopus Eid


  • 2-s2.0-85045980330

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=2373&context=eispapers1

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers1/1371

Number Of Pages


  • 10

Start Page


  • 47

End Page


  • 57

Volume


  • 10765

Place Of Publication


  • Switzerland