A simple construction giving the two non-isomorphic triangle-free 3-colored K16'sCharles Laywine, J. P. MayberryJ. Comb. Theory, Ser. B1988

Generalizations of Bose's Equivalence between Complete Sets of Mutually Orthogonal Latin Squares and Affine PlanesCharles Laywine, Gary L. MullenJ. Comb. Theory, Ser. A1992

A derivation of an affine plane of order 4 from a triangle-free 3-colored K16Charles LaywineDiscrete Mathematics2001

A Table of Lower Bounds for the Number of Mutually Orthogonal Frequency SquaresCharles Laywine, Gary L. MullenArs Comb.2001

Subsquares in Orthogonal Latin Squares as Subspaces in Affine Geometries: A Generalization of an Equivalence of BoseCharles LaywineDes. Codes Cryptography1993

A counter-example to a conjecture relating complete sets of frequency squares and affine geometriesCharles LaywineDiscrete Mathematics1993

An Expression for the Number of Equivalence Classes of Latin Squares under Row and Column PermutationsCharles LaywineJ. Comb. Theory, Ser. A1981