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Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th Edition, New York: Dover, pp. 107-109 and 274, 1987.

Baumert, L.D. and Hall, M. Jr. A new construction method for Hadamard matrices. Bull. Amer. Math. Soc. 71, 169-170,1965.

Beth, T.; Jungnickel, D.; and Lenz, H. Design Theory, New York: Cambridge University Press, 1986.

Brenner, J. and Cummings, L. "The Hadamard Maximum Determinant Problem." Amer. Math. Monthly 79, 626-630, 1972.

Cooper, J. and Wallis, J.S. A construction for Hadamard arrays. Bull. Austral. Math. Soc. 7,269-278,1972.

Craigen, R. "Hadamard Matrices and Designs." Ch. 24 in CRC Handbook of Combinatorial Designs (Ed. C. J. Colbourn and J. H. Dinitz). Boca Raton, FL: CRC Press, pp. 370-377, 1996.

Djokovic, D.Z. Skew Hadamard matrices of order 4 x 37 and 4 x 39. J. Combinatorial Theory, Ser. A. 61, 319-321, 1992a.

Djokovic, D.Z. Construction of some new Hadamard matrices. Bull. Austral. Math. Soc. 45, 327-332, 1992b.

Djokovic, D.Z. Ten new orders for Hadamard matrices of skew type. Publ. Electrotechnickog Fak., Ser. Mathematika, Univ. of Belgrade, 3 47-59, 1992c.

Djokovic, D.Z. Ten Hadamard matrices of order 1852 of Goethals-Seidel type. Europ. J. Combinatorics 13, 245-248, 1992d.

Djokovic, D.Z. Two Hadamard matrices of order 956 of Goethals-Seidel type. Combinatorica, 14(3), 375-377, 1994a.

Djokovic, D.Z. Five new Hadamard matrices of order skew type. Austral. J. Combinatorics 10, 259-264, 1994b.

Djokovic, D.Z. Hadamard matrices of order 764 exist. preprint. Available at: arXiv 2007.

Ehlich, H. Neue Hadamard-Matrizen. Arch. Math. 16, 34-36, 1965.

Gardner, M. "Mathematical Games: On the Remarkable Csszr Polyhedron and Its Applications in Problem Solving." Sci. Amer. 232, 102-107, May 1975.

Geramita, A. V. Orthogonal Designs: Quadratic forms and Hadamard Matrices. New York: Dekker, 1979.

Goethals J.M. and Seidel. J.J. Orthogonal matrices with zero diagonal.

Canad. J. Math., 19, 10011010, 1967.

Golomb, S. W. and Baumert, L. D. "The Search for Hadamard Matrices." Amer. Math. Monthly 70, 12-17, 1963.

*Hadamard, J. "Rsolution d'une question relative aux dterminants." Bull. Sci. Math. 17, 240-246, 1893.

Hall, M. Combinatorial Theory, 2nd Edition. New York: Wiley, 1986.

Hedayat, A. and Wallis, W. D. "Hadamard Matrices and Their Applications." Ann. Stat. 6, 1184-1238, 1978.

Kharaghani, H. and Tayfeh-Rezaie, B. "A Hadamard Matrix of Order 428." Preprint, 2004. http://math.ipm.ac.ir/tayfeh-r/papersandpreprints/h428.pdf.

Kharaghani, H. and Tayfeh-Rezaie, B.(2005). A Hadamard matrix of order 428, J. Combinatorial Designs 13, 435440.

Koukouvinos, C. Home page (

http://www.math.ntua.gr/people/ckoukouv/en_index.html ). Accessed lastly on 15-09-2006.

Kimura, H. (1994a). Classification of Hadamard Matrices of Order 28. Disc. Math. 133, 171-180,.

Kimura, H. (1994b). Classification of Hadamard Matrices of Order 28 with Hall Sets. Disc. Math. 128, 257-269.

Kitis, L. "Paley's Construction of Hadamard Matrices." http://library.wolfram.com/infocenter/MathSource/499/.

Miyamoto, M. A construction of Hadamard matrices. J. Combin. Theory Ser. A, 57(1), 86108, 1991.

Ogilvie, G. A. "Solution to Problem 2511." Math. Questions and Solutions 10, 74-76, 1868.

Paley, R. E. A. C. "On Orthogonal Matrices." J. Math. Phys. 12, 311-320, 1933.

Ryser, H. J. Combinatorial Mathematics. Buffalo, NY: Math. Assoc. Amer., pp. 104-122, 1963.

Sawade, K. "A Hadamard Matrix of Order-268." Graphs Combinatorics 1, 185-187, 1985.

Seberry, J. and Yamada, M. "Hadamard Matrices, Sequences, and Block Designs." Ch. 11 in Contemproray Design Theory: A Collection of Surveys (Ed. J. H. Dinitz and D. R. Stinson). New York: Wiley, pp. 431-560, 1992.

Sloane, N. J. A. Sequences A007299/M3736, A046116, and A074070 in "The On-Line Encyclopedia of Integer Sequences."

Spence, E. "Classification of Hadamard Matrices of Order 24 and 28." Disc. Math 140, 185-243, 1995.

*Sylvester, J. J. "Thoughts on Orthogonal Matrices, Simultaneous Sign-Successions, and Tessellated Pavements in Two or More Colours, with Applications to Newton's Rule, Ornamental Tile-Work, and the Theory of Numbers." Phil. Mag. 34, 461-475, 1867.

Sylvester, J. J. "Problem 2511." Math. Questions and Solutions 10, 74, 1868.

Thompson, A. R.; Moran, J. M.; and Swenson, G. W. Jr. Interferometry and Synthesis in Radio Astronomy. New York: Wiley, p. 204, 1986.

Turyn, R. J. "Hadamard Matrices, Baumert-Hall Units, Four-Symbol Sequences, Pulse Compression, and Surface Wave Encodings." J. Combin. Th. Ser. A 16, 313-333, 1974.

van Lint, J. H. and Wilson, R. M. A Course in Combinatorics. New York: Cambridge University Press, 1993.

Wallis, J. and Whiteman, A.L. Some classes of Hadamard matrices with constant diagonal. Bull. Austral. Math. Soc. 7, 233-249, 1972.

Wallis, W. D.; Street, A. P.; and Wallis, J. S. Combinatorics: Room Squares, Sum-free Sets, Hadamard Matrices. New York: Springer-Verlag, 1972.

Williamson, J. "Hadamard's Determinant Theorem and the Sum of Four Squares." Duke. Math. J. 11, 65-81, 1944.

Williamson, J.(1947). Note on Hadamard's Determinant Theorem. Bull. Amer. Math. Soc. 53, 608-613, 1947.

Wolfram, S. (2002). A New Kind of Science. Champaign, IL: Wolfram Media, p. 1073.

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