Corpus ID: 20726401

New D-optimal designs via cyclotomy and generalised cyclotomy

@article{Gysin1997NewDD,
  title={New D-optimal designs via cyclotomy and generalised cyclotomy},
  author={Marc Gysin},
  journal={Australas. J Comb.},
  year={1997},
  volume={15},
  pages={247-256}
}
  • Marc Gysin
  • Published 1997
  • Mathematics, Computer Science
  • Australas. J Comb.
D-optimal designs are n x n ±l-matrices where n == 2 mod 4 with maximum determinant. D-optimal designs obtained via circulant matrices are equivalent to 2-{ v; kl i k2 i k1 + k2 ~(v 1)} supplementary difference sets, where v = ~. We use cyclotomy to construct D-optimal designs, where v is a prime. We give a generalisation of cyclotomy and extend the cyclotomic techniques which enables use to find new D-optimal designs for composite numbers. In particular, we found, via computer-search, D… Expand
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Cyclotomy, Hadamard arrays and supplementary difference sets
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Supplementary difference sets and D-optimal designs for n == 2 mod 4
On sequences with zero autocorrelation
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