Constructions of resilient rotation symmetric Boolean functions on given number of variables

Constructions of p‐variable 1‐resilient rotation symmetric functions over GF(p)

“…A property on the support tables of RSBFs was given in Reference . Motivated by the property proposed in Reference , we have a similar result as follows, which is a bridge to construct rotation symmetric resilient functions.…”

“…Proof This theorem is similar to theorem 1 in Reference , it can be proved by a similar method in , and we omit the proof here.…”

“…Zhang et al . made some progresses in resilient functions recently ; constructions and count of rotation symmetric resilient Boolean functions were proposed in . Correlation‐immune and resilient functions over finite fields had been studied extensively by many authors .…”

Constructing 1-resilient rotation symmetric functions over <inline-formula><tex-math id="M1">\begin{document}$ {\mathbb F}_{p} $\end{document}</tex-math></inline-formula> with <inline-formula><tex-math id="M2">\begin{document}$ {q} $\end{document}</tex-math></inline-formula> variables through special orthogonal arrays

“…For the properties on the support tables of rotation symmetric Boolean functions was given in [8,11,12].…”

“…These results inspire us to find good cryptographic Boolean functions from the class of 1-resilient RSBFs. Constructions and enumerations of correlation immune and resilient rotation symmetric Boolean functions were proposed by a series of papers [16,42,44,17,37,34,8,9,10,40].…”