Amadou Keita

collaborators

3 papers

math.CO2026

Transitive Sets of Mutually Orthogonal Latin Squares

Amadou Keita, Ilya Shapiro

We investigate MacNeish's conjecture (known to be false in general) in the setting of what we call "transitive" Mutually Orthogonal Latin Squares (MOLS). When we restrict our atten…

math.CO2025

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

Curtis Bright, Amadou Keita, Brett Stevens

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 i…

math.CO2025

Myrvold's Results on Orthogonal Triples of $10 \times 10$ Latin Squares: A SAT Investigation

Curtis Bright, Amadou Keita, Brett Stevens

Ever since E. T. Parker constructed an orthogonal pair of $10 \times 10$ Latin squares in 1959, an orthogonal triple of $10 \times 10$ Latin squares has been one of the most sought-aft…

Transitive Sets of Mutually Orthogonal Latin Squares

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

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

Myrvold's Results on Orthogonal Triples of $10 \times 10$ Latin Squares: A SAT Investigation