Abstract
A way of generating cocyclic Hadamard matrices is described, which combines a new heuristic, coming from a novel notion of fitness, and a peculiar local search, defined as a constraint satisfaction problem. Calculations support the idea that finding a cocyclic Hadamard matrix of order $$4 \cdot 47$$ might be within reach, for the first time, progressing further upon the ideas explained in this work.
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