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Enumeration and construction of pandiagonal Latin squares of prime order. (English) Zbl 0528.05007


MSC:

05B15 Orthogonal arrays, Latin squares, Room squares

Citations:

Zbl 0353.05025
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References:

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[5] Fisher, R. A., The Design of Experiments (1935), Oliver & Boyd: Oliver & Boyd Edinburgh · Zbl 0011.03205
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[11] Nissen, Ø., The use of systematic 5 × 5 squares, Biometrics, 7, 167-170 (1951)
[12] Parker, E. T., Computer investigation of orthogonal Latin squares of order 10, AMS Proc. Symp. Appl. Math., 15, 73-82 (1962)
[13] Polya, G., Über die “doppelt-periodischen” Losüngen des \(n\)-Damenproblem, (Ahrens, W., Mathematische Unterhaltungen und Spiele (1918), Teubner: Teubner Leipzig), 364-374
[14] Rosser, B.; Walker, R. J., The algebraic theory of diabolic magic squares, Duke Math. J., 5, 705-728 (1939) · Zbl 0022.20004
[15] B. Rosser and R. J. Walker, Magic Squares, Published Papers and Supplement, Section 6, pp. 729-753. Cornell University Library (typed manuscript).; B. Rosser and R. J. Walker, Magic Squares, Published Papers and Supplement, Section 6, pp. 729-753. Cornell University Library (typed manuscript).
[16] Stern, E., Number of magic squares belonging to certain classes, Am. Math. Monthly, 46, 555-581 (1939) · JFM 65.0165.04
[17] Stern, E., Über eine Zahlentheoretische Methode zur Bildung und Anzahlbestimmung neuerartige lateinischer Quadrate, Timisoara, Rumania. Institutul Politehnic, Bulletin de Sciience et Technique, 10, 101-131 (1941) · JFM 67.0119.03
[18] Stern, E., Über irregulare pandiagonale lateinische Quadrate mit Primzahlseitenlänge, Niew Archief voor Wiskunde, 19, 257-271 (1938) · JFM 64.0042.01
[19] Vik, K., Bedømmelse av feilen på forsøksfelter med og uten malestokk, Meldinger fra Norges Landbrukshøgskole, 4, 129-181 (1924)
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