Spectral domain analysis of correlation immune and resilient Boolean functions

Finite Fields and their Applications

Volumn 8, Issue 1, 2002, Pages 120-130

  Carlet, Claude ^a   Sarkar, Palash ^b  

^a INRIA   (France)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Algebraic degree; Boolean function; Correlation immunity; Nonlinearity; Resiliency; Stream ciphers

Indexed keywords

EID: 0036160819     PISSN: 10715797     EISSN: None     Source Type: Journal    
DOI: 10.1006/ffta.2001.0332     Document Type: Article

References (14)

1. On the propagation criterion of degree ℓ and order k
2. On the coset weight divisibility and nonlinearity of resilient functions
3. A new representation of Boolean functions
4. "The Stability Theory of Stream Ciphers"
5. A spectral characterization of correlation immune combining functions
6. Propagation characteristics of Boolean functions
7. On bent functions
8. A note on the spectral characterization of correlation immune Boolean functions
9. Nonlinearity bounds and constructions of resilient Boolean functions
10. Construction of nonlinear Boolean functions with important cryptographic properties
11. Correlation-immunity of nonlinear combining functions for cryptographic applications
12. On resilient Boolean functions with maximum possible nonlinearity
13. Improved upper bound on the nonlinearity of high order correlation immune functions