Self-converse Mendelsohn designs with block size 4 and 5

Abstract

A (v, k, λ)-Mendelsohn design(X, ℬ︁) is called self-converse if there is an isomorphic mapping ƒ from (X, ℬ︁) to (X, ℬ︁−1), where ℬ︁−1 = {B−1 = 〈xk, xk−1,…,x2, x1〉: B = 〈x1, x2,…,xk−1, xk〉 ϵ ℬ︁}. In this paper, we give the existence spectrum for self-converse (v, 4, 1)– and (v, 5, 1)– Mendelsohn designs. © 2000 John Wiley & Sons, Inc. J Combin Designs 8: 411–418, 2000