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Progress in cocyclic matrices. (English) Zbl 0898.05011
Summary: Cocyclic matrices have proved a unifying concept within combinatorial design theory. Recent research has focussed on their relationship with perfect binary arrays, difference sets and Hadamard groups; on the properties and computation of cocyclic matrices over abelian and dihedral groups of order $$4t$$, for $$t$$ odd; and on applications to the generation of Hadamard matrices and digital communications. Progress is outlined and some open problems are posed.

##### MSC:
 05B20 Combinatorial aspects of matrices (incidence, Hadamard, etc.) 05B10 Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.)