Results on the nonexistence of bent-negabent rotation symmetric Boolean functions

Cryptography and Communications（2022）

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摘要

In this paper, we study the conjecture that there doesn’t exist bent-negabent rotation symmetric Boolean functions. We prove that the conjecture is true for almost all the cases based on the properties of autocorrelation spectra and the enumeration formulas of orbits.

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关键词

Bent-negabent function,Rotation symmetric Boolean function,Nega-Hadamard transform,Walsh-Hadmard transform

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