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On cryptographically secure vectorial boolean functions

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (1999) 1716 1-9
DOI: 10.1007/978-3-540-48000-6_3
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Abstract

In this paper, we show the first method to construct vectorial bent functions which satisfy both the largest degree and the largest number of output bits simultaneously. We next apply this method to construct balanced vectorial Boolean functions which have larger nonlinearities than previously known constructions.

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Satoh, T., Iwata, T., & Kurosawa, K. (1999). On cryptographically secure vectorial boolean functions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1716, pp. 1–9). Springer Verlag. https://doi.org/10.1007/978-3-540-48000-6_3

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