Abstract
We introduce the concept of complementary plateaued functions and examine relationships between these newly defined functions and bent functions. Results obtained in this paper contribute to the further understanding of profound secrets of bent functions. Cryptographic applications of these results are demonstrated by constructing highly nonlinear correlation immune functions that possess no non-zero linear structures.
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Zheng, Y., Zhang, XM. (2000). Relationships between Bent Functions and Complementary Plateaued Functions. In: Song, J. (eds) Information Security and Cryptology - ICISC’99. ICISC 1999. Lecture Notes in Computer Science, vol 1787. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10719994_6
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DOI: https://doi.org/10.1007/10719994_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67380-4
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