A large family of Boolean functions

• Autorzy: Huaning Liu , Min Zhang
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11T71: Algebraic coding theory; cryptography
• 94A60: Cryptography
• 11T24: Other character sums and Gauss sums
• 94C10: Switching theory, application of Boolean algebra; Boolean functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2016
• Tom: 172
• Numer: 3
• Strony: 251-262

Daty

wydano

2016

Twórcy

autor

Huaning Liu

• School of Mathematics, Northwest University, Xi'an 710127, Shaanxi, P.R. China

autor

Min Zhang

• School of Mathematics, Northwest University, Xi'an 710127, Shaanxi, P.R. China

Identyfikatory

DOI

10.4064/aa8107-1-2016