Highly Nonlinear Balanced Boolean Functions with very good Autocorrelation Property

@article{Maitra2000HighlyNB,
  title={Highly Nonlinear Balanced Boolean Functions with very good Autocorrelation Property},
  author={Subhamoy Maitra},
  journal={IACR Cryptology ePrint Archive},
  year={2000},
  volume={2000},
  pages={47}
}
Constructing highly nonlinear balanced Boolean functions with very good autocorrelation property is an interesting open question. In this direction we use the measure f , the highest magnitude of all autocorrelation coe cients for a function f . We provide balanced functions f with currently best known nonlinearity and f values together. Our results for 15-variable functions disprove the conjecture proposed by Zhang and Zheng (1995) for di erent ranges of nonlinearity, where our constructions… CONTINUE READING

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