An Expression for the Number of Equivalence Classes of Latin Squares under Row and Column Permutations. - Charles Laywine (J. Comb. Theory A, 1981)

A simple construction giving the two non-isomorphic triangle-free 3-colored K16's. - Charles Laywine; J. P. Mayberry (J. Comb. Theory B, 1988)

Generalizations of Bose's Equivalence between Complete Sets of Mutually Orthogonal Latin Squares and Affine Planes. - Charles Laywine; Gary L. Mullen (J. Comb. Theory A, 1992)

Subsquares in Orthogonal Latin Squares as Subspaces in Affine Geometries: A Generalization of an Equivalence of Bose. - Charles Laywine (Des. Codes Cryptogr., 1993)

A counter-example to a conjecture relating complete sets of frequency squares and affine geometries. - Charles Laywine (Discret. Math., 1993)

A Table of Lower Bounds for the Number of Mutually Orthogonal Frequency Squares. - Charles Laywine; Gary L. Mullen (Ars Comb., 2001)

A derivation of an affine plane of order 4 from a triangle-free 3-colored K16. - Charles Laywine (Discret. Math., 2001)

A hierarchy of complete orthogonal structures. - Charles Laywine; Gary L. Mullen (Ars Comb., 2002)