Applying Balanced Generalized Weighing Matrices to Construct Block Designs

نویسنده

  • Yury J. Ionin
چکیده

Balanced generalized weighing matrices are applied for constructing a family of symmetric designs with parameters (1 + qr(rm+1 − 1)/(r − 1), rm, rm−1(r − 1)/q), where m is any positive integer and q and r = (qd − 1)/(q − 1) are prime powers, and a family of non-embeddable quasi-residual 2−((r+1)(rm+1−1)/(r−1), rm(r+ 1)/2, rm(r− 1)/2) designs, where m is any positive integer and r = 2d− 1, 3 · 2d− 1 or 5 · 2d − 1 is a prime power, r ≥ 11.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 8  شماره 

صفحات  -

تاریخ انتشار 2001