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Doubly Orthogonal Equi‐Squares and Sliced Orthogonal Arrays
Journal of Combinatorial DesignsABSTRACTWe introduce doubly orthogonal equi‐squares. Using linear algebra over finite fields, we produce large families of mutually ‐doubly orthogonal equi‐ squares, and show these are of maximal size when . These results specialize to the results of Xu, Haaland, and Qian when and the equi‐squares are Sudoku Latin squares of order .
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On Distance Distributions of Orthogonal Arrays
Problems of Information Transmission, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Construction of orthogonal arrays
Journal of Statistical Planning and Inference, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nested strong orthogonal arrays
Statistical PaperszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chunwei Zheng +2 more
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Journal of Combinatorial Designs, 2000
A set of amicable matrices and a set of matrices with additive property are introduced and used to generate many new orthogonal designs.
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A set of amicable matrices and a set of matrices with additive property are introduced and used to generate many new orthogonal designs.
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Constructions for new orthogonal arrays based on large sets of orthogonal arrays
Designs, Codes, and Cryptography, 2023Guangzhou Chen
exaly
Constructions of column-orthogonal strong orthogonal arrays
SCIENTIA SINICA Mathematica, 2022Bao Jingjun, Ji Lijun, Pan Yuanyao
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