Title :
Propagation Properties of Symmetric Boolean Functions
Author :
Shi, Fu Li ; Bin, Hu
Author_Institution :
Zheng Zhou Inf. Sci. Technol. Inst., Zhengzhou, China
Abstract :
In this paper, we present a study of the cryptographic properties of symmetric Boolean functions, especially of the propagation properties. We point that the value of autocorrelation functions of a symmetric function are equal when they have fixed Hamming weight. Furthermore, we extensively study the propagation properties of symmetric functions by giving the algebraic normal forms of the derivatives of a symmetric function with respect to any vectors.
Keywords :
Boolean functions; Hamming codes; cryptography; vectors; algebraic normal forms; autocorrelation functions; cryptographic properties; fixed Hamming weight; propagation properties; symmetric boolean functions; vectors; Autocorrelation; Automation; Boolean functions; Cryptography; Galois fields; Hamming weight; Information science; Nonlinear equations; Polynomials; Boolean functions; propagation property; symmetric functions;
Conference_Titel :
Intelligent Computation Technology and Automation (ICICTA), 2010 International Conference on
Conference_Location :
Changsha
Print_ISBN :
978-1-4244-7279-6
Electronic_ISBN :
978-1-4244-7280-2
DOI :
10.1109/ICICTA.2010.614
