期刊论文

Mesnager, S

英文

IEEE Transactions on Information Theory

0018-9448

2025

71

2

1400-1418

10.1109/TIT.2024.3497804

10.13039/501100012166-National Key Research and Development Program of China (Grant Number: 2019YFB2101703) National Natural Science Foundation of China (Grant Number: 62302001, 62372221, 61972258, 62272107 and U19A2066) China Postdoctoral Science Foundation (Grant Number: 2023M740714) Innovation Action Plan of Shanghai Science and Technology (Grant Number: 20511102200 and 21511102200) Key Research and Development Program of Guangdong Province (Grant Number: 2020B0101090001) Natural Science Foundation for the Higher Education Institutions of Anhui Province (Grant Number: 2023AH050250) 10.13039/501100001665-French Agence Nationale de la Recherche (ANR) through algeBrA, pRoofs, pRotocols, Algorithms, Curves and sUrfaces for coDes and their Applications (BARRACUDA) (Grant Number: ANR-21-CE39-0009)

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The problem of designing explicit bent and plateaued functions has been researched for several decades. However, finding new bent functions outside the well-known completed Maiorana-McFarland class $\mathcal {M}^{\#}$ is still a challenge. Plateaued functions have been characterized in many different ways, but there is no general and rigorous mathematical method to generate them directly, except for the ones in the spirit of the well-known Maiorana-McFarland constructions or those obtained through adaptations of the secondary constructions of bent functions. Jeong and Lee recently made signifi...