Theoretical study demonstrates generic construction of plateaued Boolean functions via support modification, indicating new methods to produce secure cryptographic sequences.
Plateaued Boolean functions play an important role in sequence design and cryptography due to their favorable properties such as high nonlinearity, resilience and low additive autocorrelation. In this paper, by modifying the support of certain quadratic functions, we propose a generic construction of plateaued Boolean functions. Additionally, we analyze the algebraic normal form of the newly constructed functions. As applications of the proposed construction, we obtain infinite families of near-bent and semi-bent functions.
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Zhou et al. (2026) studied this question.
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