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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This work was completed with the supports of FQM-016 from Junta de Andalucía and Departamento de Matemática Aplicada I de la Universidad de Sevilla. The authors want to express their gratitude to the anonymous referees for their pertinent comments and suggestions, which have permitted to improve the readability and understandability of the paper.
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Alvarez, V., Armario, J.A., Falcón, R.M. et al. A Mixed Heuristic for Generating Cocyclic Hadamard Matrices. Math.Comput.Sci. 12, 407–417 (2018). https://doi.org/10.1007/s11786-018-0377-x
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DOI: https://doi.org/10.1007/s11786-018-0377-x