THE FALSITY OF EULER'S CONJECTURE ABOUT TEE NON-EXISTENCE OF TWO ORTHOGONAL LATIN SQUARES OF ORDER 4t+2 (Preliminary Report)

摘要

The purpose of this paper is to prove a general theorem on the existence of pairwise orthogonal Latin squares (p.o.l.s.) of a given order and to give a counter example to Euler’s conjecture that there do not exist two p.o.l.s. of order 4t+2.