Congruence classes in M3 (Fq) q odd)
Discrete Mathematics
Congruence classes in M3 (Fq) (q even)
Discrete Mathematics
The Number of Congruence Classes in Mn(Fq)
Finite Fields and Their Applications
Representation and recombination over nonsingular binary matrices
Proceedings of the first ACM/SIGEVO Summit on Genetic and Evolutionary Computation
A Note on Edge-based Graph Partitioning and its Linear Algebraic Structure
Journal of Mathematical Modelling and Algorithms
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We provide two congruence classes for symmetric binary matrices over a finite field of characteristic 2. We use standard methods of matrix analysis to prove directly that there exist two congruence classes. Our proof gives explicit algorithms to compute the congruence classes.