Linear symmetries of Boolean functions

Invariance groups of sets of Boolean functions can be characterized as Galois closures of a suitable Galois connection. We consider such groups in a much more general context using group actions of an abstract group and arbitrary functions instead of Boolean ones. We characterize the Galois closures for both sides of the corresponding Galois connection and apply the results to known group actions.

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Linear symmetries of Boolean functions

Cited by 2 publications

References 3 publications

Polynomial-time quantum algorithms for finding the linear structures of Boolean function

Polynomial-time quantum algorithms for finding the linear structures of Boolean function

Invariance groups of functions and related Galois connections

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