Curtis Bright

collaborators

6 papers

math.CO2026

Quaternionic Perfect Sequences and Hadamard Matrices

Aidan Bennett, Curtis Bright, Paul Colinot +1

A finite sequence of numbers is perfect if it has zero periodic autocorrelation after a nontrivial cyclic shift. In this work, we study quaternionic perfect sequences having a one-…

math.CO2026

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…

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

Symbolic Sets for Proving Bounds on Rado Numbers

Tanbir Ahmed, Lamina Zaman, Curtis Bright

Given a linear equation $E$ of the form $a x + b y = cz$ where $a$ , $b$ , $c$ are positive integers, the $k$ -colour Rado number $R_{k} (E)$ is the smallest positive integer $…

cs.LO2025

Queen Domination by SAT Solving

Taha Rostami, Curtis Bright

The queen domination problem asks for the minimum number of queens required to attack all squares on an $n \times n$ chessboard. Once this optimal number is known, determining the…

cs.DM2025

New Results on Periodic Golay Pairs

Tyler Lumsden, Ilias Kotsireas, Curtis Bright

In this paper, we provide algorithmic methods for conducting exhaustive searches for periodic Golay pairs. Our methods enumerate several lengths beyond the currently known state-of…