8 research outputs found
The Impact of Number Theory and Computer Aided Mathematics on Solving the Hadamard Matrix Conjecture
In memory of Alf van der Poorten The Hadamard Conjecture has been studied since the pioneering paper of J. J. Sylvester, “Thoughts on inverse orthogonal matrices, simultaneous sign successions, tessellated pavements in two or more colours, with applications to Newtons rule, ornamental tile work and the theory of numbers, Phil Mag, (1867) 461–475 first appeared. We review the importance of primes on those occasions that the conjecture is confirmed. We survey the results of some computer aided construction algorithms for Hadamard matrices