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Strong amicable orthogonal designs and amicable Hadamard matrices

Journal Article


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Abstract


  • Amicable orthogonal designs have renewed interest because of their use in mobile communications. We show the existence of strong amicable orthogonal designs, AOD(n: 1, n - 1; 1, n - 1), for n = pr + 1, p ≡ 3 (mod 4) a prime and for n = 2r, n a non-negative integer in a form more suitable for communications. Unfortunately the existence of amicable Hadamard matrices is not enough to demonstrate the existence of strong amicable orthogonal designs.

Publication Date


  • 2013

Citation


  • Seberry, J. (2013). Strong amicable orthogonal designs and amicable Hadamard matrices. Australasian Journal of Combinatorics, 55 5-13.

Scopus Eid


  • 2-s2.0-84875197710

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=2514&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/1505

Has Global Citation Frequency


Number Of Pages


  • 8

Start Page


  • 5

End Page


  • 13

Volume


  • 55

Place Of Publication


  • Australia

Abstract


  • Amicable orthogonal designs have renewed interest because of their use in mobile communications. We show the existence of strong amicable orthogonal designs, AOD(n: 1, n - 1; 1, n - 1), for n = pr + 1, p ≡ 3 (mod 4) a prime and for n = 2r, n a non-negative integer in a form more suitable for communications. Unfortunately the existence of amicable Hadamard matrices is not enough to demonstrate the existence of strong amicable orthogonal designs.

Publication Date


  • 2013

Citation


  • Seberry, J. (2013). Strong amicable orthogonal designs and amicable Hadamard matrices. Australasian Journal of Combinatorics, 55 5-13.

Scopus Eid


  • 2-s2.0-84875197710

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=2514&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/1505

Has Global Citation Frequency


Number Of Pages


  • 8

Start Page


  • 5

End Page


  • 13

Volume


  • 55

Place Of Publication


  • Australia