Most coding theory experts date the origin of the subject with the 1948 publication of A
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …

The intended purpose of this work is to provide the reader with a comprehensive, state-of-
the art presentation of the theory of complex Hadamard matrices, or at least report on the …

In this paper Butson-type complex Hadamard matrices $\mathrm {BH}(n, q) $ of order $ n $
over the complex $ q $ th roots of unity are classified for small parameters by computer …

The ranks and kernels of generalized Hadamard matrices are studied. It is proved that any
generalized Hadamard matrix H (q, λ) over F q, q> 3, or q= 3 and gcd (3, λ)≠ 1, generates a …

We prove that every polarity of PG (2 k− 1, q), where k≥ 2, gives rise to a design with the
same parameters and the same intersection numbers as, but not isomorphic to, PG k (2 k, q) …

All line spreads of PG (5, 2) are constructed and classified up to equivalence by exhaustive
generation considering the specific properties of the automorphism group, and the …

This dissertation gives a survey of algebraic methods for constructing generalized
Hadamard matrices and for showing that generalized Hadamard matrices do not exist with …

A complete classification of quaternary complex Hadamard matrices of orders 10, 12 and 14
is given, and a new parametrization scheme for obtaining new examples of affine parametric …

All generalized Hadamard matrices of order 18 over a group of order 3, H (6, 3), are
enumerated in two different ways: once, as class regular symmetric (6, 3)-nets, or symmetric …

It is shown that the row spaces of certain generalized weighing matrices, Bhaskar Rao
designs, and generalized Hadamard matrices over a finite field of order q are hermitian self …