The system considers the motion of a free (frictionless) particle on a surface of constant negative curvature, the simplest compact Riemann surface, which is the surface of genus two: a donut with two holes.
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The elements of the Hadamard exponent matrix lie in the Galois field , and its row vectors constitute the codewords of what shall be called a generalized Hadamard code.
Seberry has contributed to the knowledge and use of Hadamard matrix|Hadamard
W. D. Wallis, Anne Penfold Street, and Jennifer Seberry Wallis, Combinatorics: Room Squares, Sum-Free Sets, Hadamard Matrices, Springer-Verlag, Berlin 1972.
Regular Hadamard matrix, a Hadamard matrix whose row and column sums are all equal.