Geodesic
A large family of Boolean functions
Huaning Liu1 ; Min Zhang1
1 School of Mathematics Northwest University Xi’an 710127, Shaanxi, P.R. China
Acta Arithmetica, Tome 172 (2016) no. 3, pp. 251-262.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In a series of papers many Boolean functions with good cryptographic properties were constructed using number-theoretic methods. We construct a large family of Boolean functions by using polynomials over finite fields, and study their cryptographic properties: maximum Fourier coefficient, nonlinearity, average sensitivity, sparsity, collision and avalanche effect.
DOI : 10.4064/aa8107-1-2016
Keywords: series papers many boolean functions cryptographic properties constructed using number theoretic methods construct large family boolean functions using polynomials finite fields study their cryptographic properties maximum fourier coefficient nonlinearity average sensitivity sparsity collision avalanche effect

Huaning Liu 1 ; Min Zhang 1

1 School of Mathematics Northwest University Xi’an 710127, Shaanxi, P.R. China 
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Huaning Liu; Min Zhang. A large family of Boolean functions. Acta Arithmetica, Tome 172 (2016) no. 3, pp. 251-262. doi : 10.4064/aa8107-1-2016. http://geodesic.mathdoc.fr/articles/10.4064/aa8107-1-2016/

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