Boolean Functions with Two Distinct Nega-Hadamard Coefficients

Jinfeng CHONG; Niu JIANG; Zepeng ZHUO; Weiyu ZHANG

doi:10.1587/transfun.2024EAP1008

This article has now been updated. Please use the final version.

Boolean Functions with Two Distinct Nega-Hadamard Coefficients

Jinfeng CHONG, Niu JIANG, Zepeng ZHUO, Weiyu ZHANG

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Keywords: Boolean function, Nega-Hadamard coefficient, Negabent function

JOURNAL FREE ACCESS Advance online publication

Article ID: 2024EAP1008

DOI https://doi.org/10.1587/transfun.2024EAP1008

The final version of this article is now available: Vol. E107.A (2024), No. 10 pp. 1603-1608

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Abstract

In this paper, we consider the spectra of Boolean functions with respect to the nega-Hadamard transform. Based on the properties of the nega-Hadamard transform and the solutions of the Diophantine equations, we investigate all possibilities of the nega-Hadamard transform of Boolean functions with exactly two distinct nega-Hadamard coefficients.

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