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arXiv · 2602.00843

NegaBent, No Regrets: Evolving Spectrally Flat Boolean Functions

Claude Carlet·Marko Ðurasevic·Ermes Franch·Domagoj Jakobovic·Luca Mariot·Stjepan Picek
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Abstract

Negabent Boolean functions are defined by having a flat magnitude spectrum under the nega-Hadamard transform. They exist in both even and odd dimensions, and the subclass of functions that are simultaneously bent and negabent (bent-negabent) has attracted interest due to the combined optimal periodic and negaperiodic spectral properties. In this work, we investigate how evolutionary algorithms can be used to evolve (bent-)negabent Boolean functions. Our experimental results indicate that evolutionary algorithms, especially genetic programming, are a suitable approach for evolving negabent Boolean functions, and we successfully evolve such functions in all dimensions we consider.

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Claude Carlet, Marko Ðurasevic, Ermes Franch, Domagoj Jakobovic, Luca Mariot, Stjepan Picek. 2026-01-31. NegaBent, No Regrets: Evolving Spectrally Flat Boolean Functions. https://arxiv.org/abs/2602.00843

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