Some new non-cyclic Latin squares that have cyclic and Youden properties

Ars Combinatoria

Volumn 44, Issue , 1996, Pages 137-148

  Owens, P J ^a   Preece, D A ^b  

^a UNIVERSITY OF SURREY   (United Kingdom)

^b UNIVERSITY OF KENT   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030461679     PISSN: 03817032     EISSN: 28175204     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. J. Dénes and A.D. Keedwell, Latin squares and their applications, Akadémiai Kiadó, Budapest; English Universities Press, London; Academic Press, New York, 1974.
2. n using MacMahon's double partition idea, Utilitas Math. 34 (1988), 73-83.
3. A.D. Keedwell, Proper loops of order n in which each non-identity element has left order n, Demonstratio Math. 24 (1991), 27-33.
4. W. J. LeVeque, Topics in number theory, Vol. I, Addison-Wesley, Reading, MA, 1956.
5. H.W. Norton, The 7×7 squares, Annals of Eugenics 9 (1939), 269-307.
6. D.A. Preece, Some designs based on 11 × 5 Youden 'squares', Utilitas Math. 9 (1976), 139-146.
7. D.A. Preece, Fifty years of Youden squares: a review, Bull. Inst. Math. Appl. 26 (1990), 65-75.
8. A. Sade, An omission in Norton's list of 7 × 7 squares, Ann. Math. Statist. 22 (1951), 306-307.
9. A.P. Street and W.D. Wallis, Combinatorial theory: an introduction, the Charles Babbage Research Centre, Box 370, St. Pierre, Manitoba, Canada, 1977.