References
- Sylvester JJ. 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. Philos Mag. 1867;34:461–475. doi: 10.1080/14786446708639914
- Hadamard J. Résolution d'une question relative aux déterminants. Bull Sci Math. 1893;17:240–246.
- MacWilliams FJ, Sloane NJA. The theory of error-correcting codes. Amsterdam: North-Holland Pub. Co.; 1981.
- Cameron PJ. The encyclopaedia of design theory; 2006. Available from: http://designtheory.org/library/encyc
- Paley RE. On a determinant formed by bordering the product of two determinants. Messenger Math. 1882;XI(New Series, No. 131):161–165 (Hist. IV, 267–268, 430).
- Paley RE. On orthogonal matrices. J Math Phys. 1933;12:311–320. doi: 10.1002/sapm1933121311
- Stinson DR. Combinatorial designs: constructions and analysis. New York (NY): Springer-Verlag; 2004.
- Williamson J. Hadamard's determinant theorem and the sum of four squares. Duke Math J. 1944;11:65–81. doi: 10.1215/S0012-7094-44-01108-7
- Scarpis U. Sui determinanti di valore massimo [On determinants of maximal value]. Rendic R Istit Lombardo Sci Lett. 1898;31:1441–1446.
- Generalization of Scarpis' theorem on Hadamard matrices. Lin Multilinear Algebra. 2017;65:1985–1987. doi: 10.1080/03081087.2016.1265062
- Spence E. Skew-Hadamard matrices of order 2(q+1). Discrete Math. 1977;18:79–86. doi: 10.1016/0012-365X(77)90009-7
- Seberry J. On skew Hadamard matrices. Ars Combinatoria. 1978;6:255–275.
- Geramita AV, Seberry J. Orthogonal designs: quadratic forms and Hadamard matrices. New York (NY): Marcel Dekker; 1979.
- Horadam KJ. Hadamard matrices and their applications. Princeton (NJ): Princeton University Press; 2007.
- Seberry J, Yamada M. Hadamard Matrices, sequences and block designs. In: Dinitz JH, Stinson DR, editors. Contemporary design theory: a collection of surveys. New York (NY): John Wiley & Sons; 1992. p. 431–560.
- Wallis WD, Street AP, Wallis JS. Combinatorics: room squares, sum-free sets, Hadamard matrices. New York (NY): Springer-Verlag; 1972. (Lecture Notes in Mathematics; vol. 292).
- Sloane NJA, Harwit M. Masks for Hadamard transform optics, and weighing designs. Appl Opt. 1976;15:107–114. doi: 10.1364/AO.15.000107
- Harwit M, Sloane NJA. Hadamard transform optics. New York (NY): Academic Press; 1979.
- Sloane NJA. Multiplexing methods in spectroscopy. Math Mag. 1979;52:71–80. doi: 10.1080/0025570X.1979.11976757
- Zou L. On a conjecture concerning the Frobenius norm of matrices. Linear Multilinear Algebra. 2012;60:27–31. doi: 10.1080/03081087.2010.518145
- Drnovšek R. On the S-matrix conjecture. Linear Algebra Appl. 2013;439:3555–3560. doi: 10.1016/j.laa.2013.09.012
- Lee S-R, No J-S, Shin E-H, et al. On eigenvalues of row-inverted Sylvester Hadamard matrices. Result Math. 2009;54:117–126. doi: 10.1007/s00025-008-0322-4
- Dutkay DE, Haussermann J, Weber E. Spectral properties of small Hadamard matrices. Linear Algebra Appl. 2016;506:363–381. doi: 10.1016/j.laa.2016.06.006
- Huckle TK, Kravvaritis CD. Properties of submatrices of Sylvester Hadamard matrices. Linear Multilinear Algebra. 2017;65:1629–1642. doi: 10.1080/03081087.2016.1250863
- Horn RA, Johnson CR. Matrix analysis. Cambridge (MA): Cambridge University Press; 1985.
- Horn RA, Johnson CR. Topics in matrix analysis. Cambridge (MA): Cambridge University Press; 1991.