2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133421Generalisations of the bent property of a boolean function are presented, by proposing spectral analysis with respect to a well-chosen set of local unitary transforms. Quadratic boolean functions are related to simple graphs and it is shown that the orbit generated by successive Local Complementations on a graph can be found within the transform spectra under investigation. The flat spectra of a quadratic boolean function are related to modified versions of its associated adjacency matrix.29 pages, submitted to IEEE Trans. Inform TheoryInformation TheoryGeneralised Bent Criteria for Boolean Functions (I)text