Results 91 to 100 of about 4,277 (127)

Pseudo orthogonal Latin squares

, 2021
Two Latin squares A, B of order n are called pseudo orthogonal if for any 1 ≤ i, j ≤ n there exists a k, 1 ≤ k ≤ n, such that A(i, k) = B(j, k).
S. Faruqi, S. A. Katre, M. Garg
semanticscholar   +1 more source

Myrvold's Results on Orthogonal Triples of 10 ⨉ 10 Latin Squares: A SAT Investigation

arXiv.org
Ever since E. T. Parker constructed an orthogonal pair of $10\times10$ Latin squares in 1959, an orthogonal triple of $10\times10$ Latin squares has been one of the most sought-after combinatorial designs. Despite extensive work, the existence of such an
Curtis Bright, Amadou Keita, Brett Stevens   +2 more
semanticscholar   +1 more source

Orthogonal Latin Squares of Order Ten with Two Relations: A SAT Investigation

Discrete Mathematics, Algorithms and Applications (DMAA)
A k-net(n) is a combinatorial design equivalent to k - 2 mutually orthogonal Latin squares of order n. A relation in a net is a linear dependency over 𝔽 2 in the incidence matrix of the net.
Curtis Bright, Amadou Keita, Brett Stevens   +2 more
semanticscholar   +1 more source

Improvements for lower bounds of mutually orthogonal Latin squares of sizes 54, 96 and 108

Designs, Codes and Cryptography
In this paper, respectively 8, 10 and 9 mutually orthogonal Latin squares (MOLS) of sizes n=54\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
R. J. R. Abel, I. Janiszczak, Reiner Staszewski   +2 more
semanticscholar   +1 more source

Orthogonal factor‐pair Latin squares of prime‐power order

Journal of combinatorial designs (Print), 2019
We introduce a linear method for constructing factor‐pair Latin squares of prime‐power order and we identify criteria for determining whether two factor‐pair Latin squares constructed using this linear method are orthogonal. Then we show that families of
James M. Hammer, J. Lorch
semanticscholar   +1 more source

The enumeration of cyclic mutually nearly orthogonal Latin squares

Journal of combinatorial designs (Print), 2019
In this paper, we study collections of mutually nearly orthogonal Latin squares (MNOLS), which come from a modification of the orthogonality condition for mutually orthogonal Latin squares.
F. Demirkale, D. Donovan, J. Kokkala, T. Marbach   +3 more
semanticscholar   +1 more source

Color image encryption using orthogonal Latin squares and a new 2D chaotic system

Nonlinear dynamics, 2021
Zhongyun Hua, Zhihua Zhu, Yongyong Chen, Yuanman Li   +3 more
semanticscholar   +1 more source

Orthogonal Latin squares-based firefly optimization algorithm for industrial quadratic assignment tasks

Neural computing & applications (Print), 2021
R. M. Rizk-Allah, A. Słowik, A. Darwish, A. Hassanien   +3 more
semanticscholar   +1 more source

Low delay non-binary error correction codes based on Orthogonal Latin Squares

Integr., 2021
F. García-Herrero, A. Sánchez-Macián, J. A. Maestro   +2 more
semanticscholar   +1 more source

Construction of Mutually Unbiased Bases Using Mutually Orthogonal Latin Squares

International Journal of Theoretical Physics, 2020
Yi-yang Song, Gui-Jun Zhang, Lingshan Xu, Yuan-hong Tao   +3 more
semanticscholar   +2 more sources