Three-dimensional Hadamard matrices of Paley type

We describe a construction of three-dimensional Hadamard matrices of even order v such that v−1 is a prime power. The construction covers infinitely many orders for which the existence was previously open.

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Bibliographic Details
Published in:Finite fields and their applications 2023-12, Vol.92, p.102306, Article 102306
Main Authors: Krčadinac, Vedran, Pavčević, Mario Osvin, Tabak, Kristijan
Format: Article
Language:English
Subjects:
Hadamard matrix
Projective special linear group
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Description
Summary:We describe a construction of three-dimensional Hadamard matrices of even order v such that v−1 is a prime power. The construction covers infinitely many orders for which the existence was previously open.
ISSN:1071-5797
DOI:10.1016/j.ffa.2023.102306