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Nontrivial t-designs over finite fields exist for all t

✍ Scribed by Fazeli, Arman; Lovett, Shachar; Vardy, Alexander


Book ID
126962184
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
323 KB
Volume
127
Category
Article
ISSN
0097-3165

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We study several classes of arrays generalizing designs and orthogonal arrays. We use these to construct non-trivial t-designs without repeated blocks for all t. ## 1. Designs and arrays In this paper, we will assume all sets that are not obviously infinite, to be finite. If X and Y are sets, X Y