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Highly nonlinear balanced Boolean functions with a good correlation-immunity

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (1998) 1403 475-488
DOI: 10.1007/BFb0054147
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Abstract

We study a corpus of particular Boolean functions: the idempotents. They enable us to construct functions which achieve the best possible tradeoffs between the cryptographic fundamental properties: balancedness, correlation-immunity, a high degree and a high nonlinearity (that is a high distance from the affine functions). They all represent extremely secure cryptographic primitives to be implemented in stream ciphers.

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Filiol, E., & Fontaine, C. (1998). Highly nonlinear balanced Boolean functions with a good correlation-immunity. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1403, pp. 475–488). Springer Verlag. https://doi.org/10.1007/BFb0054147

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