Privacy amplification by public discussion
SIAM Journal on Computing - Special issue on cryptography
Enumerating boolean functions of cryptographic significance
Journal of Cryptology
A note on a conjecture concerning symmetric resilient functions
Information Processing Letters
A study of correlation-immune, resilient and related cryptographic functions
A study of correlation-immune, resilient and related cryptographic functions
Bounds for Resilient Functions and Orthogonal Arrays
CRYPTO '94 Proceedings of the 14th Annual International Cryptology Conference on Advances in Cryptology
Construction of t-resilient functions over a finite alphabet
EUROCRYPT'96 Proceedings of the 15th annual international conference on Theory and application of cryptographic techniques
On nonlinear resilient functions
EUROCRYPT'95 Proceedings of the 14th annual international conference on Theory and application of cryptographic techniques
Linear structures of symmetric functions over finite fields
Information Processing Letters
Linear structures of symmetric functions over finite fields
Information Processing Letters
Enumeration of balanced symmetric functions over GF(p)
Information Processing Letters
Hi-index | 5.23 |
Correlation immunity of symmetric Boolean functions is studied in this paper. Lower bounds on the number of constructible correlation immune symmetric functions are given. Constructions for such new balanced functions are presented. These functions are also known as 1-resilient functions. In 1985, Chor et al. conjectured that the only 1-resilient symmetric functions are the exclusive-or of all n variables and its negation. This conjecture, however, was disproved by Gopalakrishnan, Hoffman and Stinson in 1993 by giving a class of infinite counterexamples, and they noted that it does not seem to extend any further in an obvious way. In this paper two more infinite classes of such examples are presented for n being even and being odd, respectively, and consequently one of the two open problems proposed by Gopalakrishnan et al., is addressed by constructing new symmetric resilient functions.