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On circulant weighing matrices

Journal Article


Abstract


  • Algebraic techniques are employed to obtain necessary conditions for the existence of certain circulant weighing matrices. As an application we rule out the existence of many circulant weighing matrices. We study orders n = s2 + s +1, for 10 ≤ 8 ≤ 25. These orders correspond to the number of points in a projective plane of order s.

Publication Date


  • 1998

Citation


  • Arasu, K. T., & Seberry, J. (1998). On circulant weighing matrices. Australasian Journal of Combinatorics, 17, 21-37.

Scopus Eid


  • 2-s2.0-24944484037

Web Of Science Accession Number


Start Page


  • 21

End Page


  • 37

Volume


  • 17

Abstract


  • Algebraic techniques are employed to obtain necessary conditions for the existence of certain circulant weighing matrices. As an application we rule out the existence of many circulant weighing matrices. We study orders n = s2 + s +1, for 10 ≤ 8 ≤ 25. These orders correspond to the number of points in a projective plane of order s.

Publication Date


  • 1998

Citation


  • Arasu, K. T., & Seberry, J. (1998). On circulant weighing matrices. Australasian Journal of Combinatorics, 17, 21-37.

Scopus Eid


  • 2-s2.0-24944484037

Web Of Science Accession Number


Start Page


  • 21

End Page


  • 37

Volume


  • 17