Sufficient conditions for a conjecture of Ryser about Hadamard circulant matrices

DOI10.1016/j.laa.2012.07.022zbMath1297.11138OpenAlexW2093711931WikidataQ123249143 ScholiaQ123249143MaRDI QIDQ454829

Olivier Rahavandrainy, Luis H. Gallardo, Reinhardt Euler

Publication date: 10 October 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.07.022

zbMATH Keywords

Hadamard matricesprimitive rootscyclotomic polynomialscirculant matricesRyser's conjectureKronecker's theorem

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Matrices, determinants in number theory (11C20) Boolean and Hadamard matrices (15B34)

Related Items (5)

Eigenvalues of Circulant Matrices and a Conjecture of Ryser ⋮ New duality operator for complex circulant matrices and a conjecture of Ryser ⋮ A Real eigenvector of Circulant matrices and a conjecture of Ryser ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• New Hadamard matrices of order \(4p^{2}\) obtained from Jacobi sums of order 16
• Character sums and difference sets
• A survey on modular Hadamard matrices
• Calculating cyclotomic polynomials
• Minimal vanishing sums of roots of unity with large coefficients
• Bounds for the R -th Coefficients of Cyclotomic Polynomials
• Cyclotomic integers and finite geometry
• Nonexistence of abelian difference sets: Lander’s conjecture for prime power orders
• On Cyclotomic Polynomials with ± 1 Coefficients
• On Binary Sequences
• On the coefficients of the cyclotomic polynomial
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