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

Authors:
Ziran Tu
Yingpu Deng
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URL: http://eprint.iacr.org/2010/179
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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.
BibTeX
@misc{eprint-2010-23080,
  title={A Class of 1-Resilient Function with High Nonlinearity and  Algebraic Immunity},
  booktitle={IACR Eprint archive},
  keywords={Boolean function, correlation immunity, algebraic immunity, bent function,  resilient function, balanced, nonlinearity, algebraic degree},
  url={http://eprint.iacr.org/2010/179},
  note={ naturetu@gmail.com 14702 received 3 Apr 2010},
  author={Ziran Tu and Yingpu Deng},
  year=2010
}