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Constructions of Highly Nonlinear Resilient Vectorial Boolean Functions via Perfect Nonlinear Functions

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Resilient vectorial Boolean functions are desirable for both stream cipher and block cipher, which are widely used in information security protection. The tradeoffs between resiliency and nonlinearity have received considerable… Click to show full abstract

Resilient vectorial Boolean functions are desirable for both stream cipher and block cipher, which are widely used in information security protection. The tradeoffs between resiliency and nonlinearity have received considerable attention. In this paper, a new method for constructing highly nonlinear resilient vectorial Boolean functions is presented. It is shown that this method can provide resilient vectorial functions with the currently best known nonlinearity, which is confirmed using examples.

Keywords: resilient vectorial; constructions highly; boolean functions; nonlinear resilient; highly nonlinear; vectorial boolean

Journal Title: IEEE Access
Year Published: 2017

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