Results 81 to 90 of about 4,854 (122)

Mutually Orthogonal Latin Squares as Group Transversals

Discrete Mathematics and Applications, 2023
In this paper, we give a method to determine a complete set of mutually orthogonal Latin squares of order m, where m is an odd prime or power of a prime, as a group transversal of a Frobenius group.
Vivek Kumar Jain
exaly   +2 more sources

A novel image encryption algorithm based on self-orthogonal Latin squares

Optik, 2018
This paper proposes a novel image encryption algorithm based on self-orthogonal Latin squares. A self-orthogonal Latin square can generate a 2D map and some 1D maps which can be used for permutations of image. It can also provide a pseudo-random sequence
Zihong Tian
exaly   +2 more sources

Orthogonal factor‐pair Latin squares of prime‐power order

Journal of Combinatorial Designs, 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 Hammer, John Lorch
exaly   +2 more sources