This monograph contains the essential results of optimal experimental design theory
together with a significant number of rather new tools, which are important in applications. In …

By investigating some families of elementary order-2 matrices, new transforms of real
vectors are introduced. When used for Boolean function transformations these transforms …

We prove that if there exist Hadamard matrices of order 4m, 4n, 4p, and 4q then there exists
an Hadamard matrix of order 16mnpq. This improves and extends the known result of …

A family of sequences with zero correlation zone, which is shortly called ZCZ set, can
provide CDMA systems without co-channel interference nor influence of multipath. We …

We consider the question of existence of certain combinatorial matrices satisfying the
condition of orthogonality, such as Hadamard matrices, weighing matrices and orthogonal …

Static feature-specific imaging (SFSI), where the measurement basis remains fixed/static
during the data measurement process, has been shown to be superior to conventional …

A new formulation of the multi-polarity generalized Walsh transform has been introduced.
The formulation allows a uniform representation of Boolean functions by a set of orthogonal …

We propose a cipher similar to the one-time pad and McEliece cipher based on a subband
coding scheme. The encoding process is an approximation to the one-time pad encryption …

The N× N complex Hadamard matrices form a real algebraic manifold CN. We have CN=
MN (T)∩ NUN, and following Tadej and Życzkowski we investigate here the computation of …

On the number of Hadamard matrices via anti-concentration Page 1 Combinatorics, Probability
and Computing (2022), 31, pp. 455–477 doi:10.1017/S0963548321000377 ARTICLE On the …