Cryptology ePrint Archive: Report 2010/179

A Class of 1-Resilient Function with High Nonlinearity and Algebraic Immunity

Ziran Tu and Yingpu Deng

Abstract: In this paper, we propose a class of 1-resilient Boolean function with optimal algebraic degree and high nonlinearity, moreover, based on the conjecture proposed in [4], it can be proved that the algebraic immunity of our function is at least suboptimal.

Category / Keywords: Boolean function, correlation immunity, algebraic immunity, bent function, resilient function, balanced, nonlinearity, algebraic degree

Date: received 3 Apr 2010

Contact author: naturetu at gmail com

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Version: 20100404:211119 (All versions of this report)

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