Semi-regular sets of matrices and applications

نویسنده

  • Xian-Mo Zhang
چکیده

The concept of semi-regular sets of matrices was introduced by J. Seberry in "A new construction for Williamson-type matrices", Graphs and Combinatorics, 2(1986), 81-87. A regular s-set of matrices of order m was first discovered by J. Seberry and A. L. Whiteman in "New Hadamard matrices and conference matrices obtained via Mathon's construction", Graphs and Combinatorics, 4(1988), 355-377. In this paper we study the product of semi-regular sets of matrices and applications in various Williamson-like matrices. Using semi-regular sets of matrices we construct new classes of Willianson type matrices, new classes of complex Hadamard matrices and new Williamson type matrices with additional properties.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 7  شماره 

صفحات  -

تاریخ انتشار 1993