Some series of cyclic balanced hyper-graeco-Latin superimpositions of three Youden squares

Graeco-Latin squares with embedded balan

Graeco-Latin squares with embedded balanced superimpositions of Youden squares

✍ D.A. Preece; B.J. Vowden 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 468 KB

Parker's (1959) first example of a 10 x 10 Graeco-Latin square incorporates 4 balanced superimpositions of 3 x 7 Youden squares. Such superimpositions of size s x (2s + 1), where s is odd and (2s + 1) is prime, can be of two types, distinguished by the values taken by an invariant formed from the