Construction of almost optimal resilient Boolean functions via concatenating Maiorana-McFarland functions

Science China Information Sciences

Volumn 54, Issue 4, 2011, Pages 909-912

  Zhang, WeiGuo ^a   Xiao, GuoZhen ^a  

^a XIDIAN UNIVERSITY   (China)

Author keywords

Boolean functions; nonlinearity; resiliency; stream ciphers

Indexed keywords

EID: 79955474110     PISSN: 1674733X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11432-011-4230-y     Document Type: Article

References (6)

1. Siegenthaler T. Correlation-immunity of nonlinear combining functions for cryptographic applications. IEEE Trans Inf Theory, 1984, 30: 776-780.
2. Xiao G Z, Massey J L. A spectral characterization of correlation-immune combining functions. IEEE Trans Inf Theory, 1988, 34: 569-571.
3. Meier W, Staffelbach O. Nonlinearity criteria for cryptographic functions. In: Advances in Cryptology-EUROCRYPT'89 (Lecture Notes in Computer Sceince). Berlin: Springer-Verlag, 1990. 549-562.
4. Camion P, Carlet C, Charpin P, et al. On correlation-immune functions. In: Advances in Cryptology-CRYPTO'91 (Lecture Notes in Computer Sceince). Berlin: Springer-Verlag, 1992. 86-100.
5. Zhang W G, Xiao G Z. Constructions of almost optimal resilient Boolean functions on large even number of variables. IEEE Trans Inf Theory, 2009, 55: 5822-5831.
6. Rothaus O S. On 'bent' functions. J Combin Theory A, 1976, 20: 300-305.