Maximal sets of mutually orthogonal frequency squares

DOI10.1007/s10623-020-00832-wzbMath1479.05038arXiv2009.03475OpenAlexW3084403602MaRDI QIDQ2657141

Adam Mammoliti, Ian M. Wanless, Nicholas J. Cavenagh

Publication date: 17 March 2021

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.03475

zbMATH Keywords

frequency squareintegral polytopeMOFS

Mathematics Subject Classification ID

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

Cites Work

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• Some new results on mutually orthogonal frequency squares
• Integer decomposition property of dilated polytopes
• Mutually orthogonal binary frequency squares
• A short proof of the nonexistence of a pair of orthogonal Latin squares of order six
• 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
• A coding theoretic solution to the 36 officer problem
• Frequency squares and affine designs
• A characterization of exponential and ordinary generating functions
• Monogamous latin squares
• Group divisible designs in MOLS of order ten
• Approximate formulas for some functions of prime numbers
• A new representation of mutually orthogonal frequency squares