Abstract
The nonlinearity of Boolean functions is one of the most important cryptographic criterion to provide protection against linear approximation attack. In this paper, we use technique suggested by Gao et al. to construct plateaued resilient functions. We provide some new constructions of highly nonlinear resilient Boolean functions on large number of variables with disjoint spectra by concatenating disjoint spectra functions on small number of variables. The nonlinearity of the constructed functions (for some functions) has improved upon the bounds obtained by Gao et al..
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Singh, D. (2012). Construction of Highly Nonlinear Plateaued Resilient Functions with Disjoint Spectra. In: Balasubramaniam, P., Uthayakumar, R. (eds) Mathematical Modelling and Scientific Computation. ICMMSC 2012. Communications in Computer and Information Science, vol 283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28926-2_59
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DOI: https://doi.org/10.1007/978-3-642-28926-2_59
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