Four Measures of Nonlinearity

@article{Boyar2013FourMO,
  title={Four Measures of Nonlinearity},
  author={Joan Boyar and Magnus Find and Ren{\'e} Peralta},
  journal={IACR Cryptology ePrint Archive},
  year={2013},
  volume={2013},
  pages={633}
}
Cryptographic applications, such as hashing, block ciphers and stream ciphers, make use of functions which are simple by some criteria (such as circuit implementations), yet hard to invert almost everywhere. A necessary condition for the latter property is to be “sufficiently distant” from linear, and cryptographers have proposed several measures for this distance. In this paper, we show that four common measures, nonlinearity, algebraic degree, annihilator immunity, and multiplicative… CONTINUE READING
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