Titlebook: Arithmetic of Finite Fields; 7th International Wo Lilya Budaghyan,Francisco Rodríguez-Henríquez Conference proceedings 2018 Springer Nature

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Rapid Hardware Design for Cryptographic Modules with Filtering Structures over Small Finite Fieldslex functions can be modelled as FILFUNs. The paper demonstrates the capabilities of the toolkit using the WG-7 and WG-8 keystream generators and the Grain?v1 stream cipher. Less than 30 lines of GAP code are required to generate a complete datapath in VHDL.

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Characterizations of Partially Bent and Plateaued Functions over Finite Fieldsatives, Walsh power moments and autocorrelation functions. We next characterize partially bent (vectorial) functions over ., with . a prime, by means of their derivatives and Walsh power moments. We finally characterize plateaued functions over . in terms of their Walsh power moments, derivatives and autocorrelation functions.

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https://doi.org/10.1007/978-1-4302-0133-5monly known as the bisection of binomial coefficients. Further, we characterize the avalanche features of a generalized Boolean function in terms of differentials. Lastly, we show that a partially gbent function is plateaued.

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