The authors present two constructions of Hadamard hypercubes: one derived from conference matrices using association schemes on triples, and a recursive construction combining smaller Hadamard matrices or hypercubes with Latin hypercubes, yielding applications to higher-dimensional symmetric designs
Brouwer and Willem H
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Authors advance two conjectures on root distributions with partial proofs, disprove a third via an infinite polynomial class, and provide evidence against a fourth.
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Hadamard Hypercubes
The authors present two constructions of Hadamard hypercubes: one derived from conference matrices using association schemes on triples, and a recursive construction combining smaller Hadamard matrices or hypercubes with Latin hypercubes, yielding applications to higher-dimensional symmetric designs
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A Note on Conjectures of Gullerud, Johnson, and Mbirika
Authors advance two conjectures on root distributions with partial proofs, disprove a third via an infinite polynomial class, and provide evidence against a fourth.