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• W2907080524 abstract "Partially bent and plateaued functions over finite fields have significant applications in cryptography, sequence theory, coding theory, design theory and combinatorics. They have been extensively studied due to their various desirable cryptographic properties. In this paper, we study on characterizations of partially bent and plateaued functions over finite fields, with the aim of clarifying their structure. We first redefine the notion of partially bent functions over any finite field $${mathbb {F}}_q$$ , with q a prime power, and then provide a few characterizations of these functions in terms of their derivatives, Walsh power moments and autocorrelation functions. We next characterize partially bent (vectorial) functions over $${mathbb {F}}_p$$ , with p a prime, by means of their derivatives and Walsh power moments. We finally characterize plateaued functions over $${mathbb {F}}_p$$ in terms of their Walsh power moments, derivatives and autocorrelation functions." @default.
• W2907080524 created "2019-01-11" @default.
• W2907080524 creator A5034752358 @default.
• W2907080524 creator A5069430302 @default.
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• W2907080524 date "2018-01-01" @default.
• W2907080524 modified "2023-10-17" @default.
• W2907080524 title "Characterizations of Partially Bent and Plateaued Functions over Finite Fields" @default.
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• W2907080524 doi "https://doi.org/10.1007/978-3-030-05153-2_12" @default.
• W2907080524 hasPublicationYear "2018" @default.
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