Abstract
Construction of resilient Boolean functions in odd variables having strictly almost optimal (SAO) nonlinearity is a challenging problem in coding theory and symmetric ciphers. In this paper, we propose a new method to obtain SAO resilient Boolean functions. By combining this method with High-Meets-Low construction technique, we can obtain resilient functions with better resiliency order and currently best known nonlinearity.
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This study was funded by National Natural Science Foundation of China (Grant Nos. 61672414, U1604180) and National Cryptography Development Fund (Grant No. MMJJ20170113).
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Sun, Y., Zhang, J. & Gangopadhyay, S. Construction of resilient Boolean functions in odd variables with strictly almost optimal nonlinearity. Des. Codes Cryptogr. 87, 3045–3062 (2019). https://doi.org/10.1007/s10623-019-00662-5
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DOI: https://doi.org/10.1007/s10623-019-00662-5