A method of construction of balanced functions with optimum algebraic immunity

@article{Carlet2006AMO,
  title={A method of construction of balanced functions with optimum algebraic immunity},
  author={Claude Carlet},
  journal={IACR Cryptology ePrint Archive},
  year={2006},
  volume={2006},
  pages={149}
}
Because of the recent algebraic attacks, a high algebraic immunity is now an absolutely necessary (but not sufficient) property for Boolean functions used in stream ciphers. A difference of only 1 between the algebraic immunities of two functions can make a crucial difference with respect to algebraic attacks. Very few examples of (balanced) functions with high algebraic immunity have been found so far. These examples seem to be isolated and no method for obtaining such functions is known. In… CONTINUE READING

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