Abstract
Boolean functions, from \( {\Bbb F}_{2^n}\) to \({\Bbb F}_2\), have been playing an important role in stream ciphers, because they can be used in their pseudo-random generators to combine the outputs to several LFSR (in the so-called combiner model). Recall that the keystream (which is bitwise added to the plaintext for producing the ciphertext) is in such framework the sequence output by the function during a sufficient number of clock-cycles. The combiner Boolean function must then be balanced, that is, have uniform output distribution, for avoiding some straightforward distinguishing attack; and it should be correlation-immune of highest possible order.
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Carlet, C. (2013). Correlation-Immune Boolean Functions for Leakage Squeezing and Rotating S-Box Masking against Side Channel Attacks. In: Gierlichs, B., Guilley, S., Mukhopadhyay, D. (eds) Security, Privacy, and Applied Cryptography Engineering. SPACE 2013. Lecture Notes in Computer Science, vol 8204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41224-0_6
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DOI: https://doi.org/10.1007/978-3-642-41224-0_6
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