Generalised Bent Criteria for Boolean Functions (I)
<|reference_start|>Generalised Bent Criteria for Boolean Functions (I): Generalisations 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.<|reference_end|>
@article{riera2005generalised,
    title={Generalised Bent Criteria for Boolean Functions (I)},
    author={Constanza Riera and Matthew G. Parker},
    journal={arXiv preprint arXiv:cs/0502049},
    year={2005},
    archivePrefix={arXiv},
    eprint={cs/0502049},
    primaryClass={cs.IT math.IT}
}