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Literatur
Baumert, L., S. W. Golomb andMarshall Hall, jr.: Discovery of an Hadamard Matrix of order 92. Bull. AMS68, 237–238 (1962).
Bose, R. C.: On the construction of balanced incomplete block designs. Ann. Eugenics9, 353–399 (1939).
—, andW. S. Connor: Combinatorial properties of group-divisible incomplete block designs. Ann. Math. Stat.23, 367–383 (1952).
—, andS. S. Shrikhande: A note on a result in the theory of code construction. Information and Control2, 183–194 (1959).
Bruck, R. H., andH. J. Ryser: Non-existence of certain finite projective planes. Can. J. Math.1, 88–93 (1949).
Chowla, S., andH. J. Ryser: Combinatorial problems. Can. J. Math.2, 93–99 (1950).
Connor jr.,W. S.: On the structure of balanced incomplete block designs. Ann. Math. Stat.23, 57–71 (1952).
Ehlich, H., u.K. Zeller: Binäre Matrizen. ZAMM42, T 20–21 (1962).
Hadamard, J.: Résolution d'une question relative aux déterminants. Bull. Sci. Math. (2)17, 30–31 (1893).
Marshall Hall jr.: Cyclic projective planes. Duke Math. J.14, 1079–1090 (1947).
—: A survey of difference sets. Proc. AMS7, 975–986 (1956).
—, andH. J. Ryser: Cyclic incidence matrices. Can. J. Math.3, 495–502 (1951).
Jones, B. W.: The arithmetic theory of quadratic forms. New York 1950.
Landau, E.: Vorlesungen über Zahlentheorie, Bd. I, S. 101–105. Leipzig 1927.
Mann, H. B.: Some theorems on difference sets. Can. J. Math.4, 222–226 (1952).
Paley, R. E. A. C.: On orthogonal matrices. J. Math. Phys.12, 311–320 (1933).
Pall, Gordon: The arithmetic invariants of quadratic forms. Bull. AMS51, 185–197 (1945).
Popoviciu, T.: Remarques sur le maximum d'une déterminant dont tous les éléments sont non négatifs. Soc. Sci. de Cluj8, 572–582 (1937).
Problem E 680. Amer. Math. Monthly1946, 220–223 (Lösungen vonG. Pall undJ. Williamson).
Rao, C. R.: Factorial experiments derivable from combinatorial arrangements of arrays. J. Royal Stat. Soc. Suppl.9, 128–139 (1947).
Raghavarao, D.: Some optimum weighing designs. Ann. Math. Stat.30, 295–303 (1959).
—: Some aspects of weighing designs. Ann. Math. Stat.31, 878–884 (1960).
Research problem 1. Bull. AMS68, 24 (1962).
Research problem 39. Bull. AMS69, 41 (1963).
Ryser, H. J.: Geometries and incidence matrices. Slaught Memorial Papers (Suppl. Amer. Math. Monthly)62, 25–31 (1955).
—: Maximal determinants in combinatorial investigations. Can. J. Math.8, 245–249 (1956).
—: Matrices of zeros and ones. Bull. AMS66, 442–464 (1960).
Singer, James: A theorem in finite projective geometry and some applications to number theory. Trans. AMS43, 377–385 (1938).
Vartak, M. N.: On the Hasse-Minkowski invariant of the Kronecker product of matrices. Can. J. Math.10, 66–72 (1958).
Williamson, J.: Hadamard's determinant theorems and the sum of four squares. Duke Math. J.11, 65–81 (1944).
—: Determinants whose elements are 0 and 1. Amer. Math. Monthly53, 427–434 (1946).
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Ehlich, H. Determinantenabschätzungen für binäre Matrizen. Math Z 83, 123–132 (1964). https://doi.org/10.1007/BF01111249
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DOI: https://doi.org/10.1007/BF01111249