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Eine Bemerkung zur Abschätzung der Anzahl orthogonaler lateinischer Quadrate mittels Siebverfahren. (German) Zbl 0507.05010


MSC:

05B15 Orthogonal arrays, Latin squares, Room squares
11N35 Sieves
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Full Text: DOI

References:

[1] T. Beth,D. Jungnickel undH. Lenz, Design Theory, B. I. Wissenschaftsverlag, Mannheim, to appear.
[2] Bose, R. C.; Parker, E. T.; Shrikhande, S. S., On the construction of sets of mutually orthogonal Latin squares and the falsity of a conjective of Euler, Canad. J. Math., 12, 189-203 (1960) · Zbl 0093.31905
[3] Buchstab, A. A., Sur la décomposition des nombres pairs ⋯, Dokl. Akad. Nauk SSSR, 29, 544-548 (1940) · JFM 66.0158.02
[4] Chowla, S.; Erdös, P.; Straus, E. G., On the maximal number of pairwise orthogonal Latin Squares of a given order, Cand. J. Math., 12, 204-208 (1960) · Zbl 0093.32001
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[8] Iwaniec, H.; van de Lune, J.; te Riele, H. J. J., The limits of Buchstab’s iteration sieve, Indag. Math., 42, 409-417 (1980) · Zbl 0445.10035
[9] H. E. Richbet, Private communication, 1982.
[10] Rogees, K., A Note on orthogonal Latin squares, Pacific J. Math., 14, 1395-1397 (1964) · Zbl 0131.18203
[11] Ryser, H. J., Combinatorial Mathematics, Carus Math. Monograph (1963), Washington D.C.: Math. Ass. Am., Washington D.C. · Zbl 0112.24806
[12] Selberg, A., Sieve methods, Proc. Symp. Pure Math., 20, 311-351 (1971) · Zbl 0222.10048
[13] Vaughan, R. C., On the estimation of Schnirelman’s constant, J. Reine Ang. Math., 290, 93-108 (1977) · Zbl 0344.10028
[14] Yuan, Wang, On the maximal number of pairwise orthogonal Latin squares of order s; an application of the sieve method, Chinese Math., 8, 422-432 (1966)
[15] Wilson, R. M., Concerning the number of mutually orthogonal Latin squares Discrete Math., 9, 181-198 (1974) · Zbl 0283.05009
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