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math.CO2024
Combinatorial properties of Circulant Hadamard matrices
Luis H. Gallardo, Olivier Rahavandrainy, Reinhardt. Euler
We describe combinatorial properties of the defining row of a circulant Hadamard matrix by exploiting its orthogonality to subsequent rows, and show how to exclude several particul…
math.NT2024
Ryser's Conjecture and Stochastic matrices
Luis H. Gallardo
Assume that is a circulant Hadamard matrix of order . We consider an appropriate stochastic matrix of order depending on . This allows us to prove that $n =…