Mutually orthogonal frequency rectangles

DOI10.1016/j.disc.2023.113606zbMath1522.05024arXiv2212.10706OpenAlexW4385438013MaRDI QIDQ6080560

Nicholas J. Cavenagh, Fahim Rahim

Publication date: 4 October 2023

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.10706

zbMATH Keywords

Hadamard matrixorthogonal arrayfrequency squareMOFSfrequency rectangle or F-rectangleMOFR

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Orthogonal arrays, Latin squares, Room squares (05B15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some new results on mutually orthogonal frequency squares
• On sets of vectors of a finite vector space in which every subset of basis size is a basis. II
• On proper secrets, \((t,k)\)-bases and linear codes
• Mutually orthogonal binary frequency squares
• Pairwise orthogonal F-rectangle designs
• Orthogonal arrays with variable numbers of symbols
• Further contributions to the theory of F-squares design
• On the existence and construction of a complete set of orthogonal F(4t; 2t, 2t)-squares design
• Orthogonal arrays. Theory and applications
• Frequency squares and affine designs
• The number of linearly independent binary vectors with applications to the construction of hypercubes and orthogonal arrays, pseudo \((t,m,s)\)-nets and linear codes
• Hadamard matrices of order 764 exist
• The cardinality of sets of \(k\)-independent vectors over finite fields
• On sets of vectors of a finite vector space in which every subset of basis size is a basis
• Row-column factorial designs with strength at least 2