References
- Camion , P. , Carlet , C. , Charpin , P. and Sendrier , N. 1991 . “ On correlation-immune functions ” . In Advances in Cryptology – Eurocrypt’ 91 , Edited by: Davies , D. W. 86 – 100 . Berlin : Springer-Verlag . Lecture Notes in Computer Science 547
- Carlet , C. 2004 . On the confusion and diffusion properties of Maiorana–McFarland's and extended Maiorana–McFarland's functions . J. Complexity , 20 : 182 – 204 . (doi:10.1016/j.jco.2003.08.013)
- Dobbertin , H. 1994 . “ Construction of bent functions and balanced Boolean functions with high nonlinearity ” . In Fast Software Encryption , Edited by: Preneel , B. 61 – 74 . Berlin : Springer-Verlag . Lecture Notes in Computer Science 1008
- Pasalic , E. 2006 . Maiorana–McFarland class: degree optimization and algebraic properties . IEEE Trans. Inf. Theory , 52 ( 10 ) : 4581 – 4594 . (doi:10.1109/TIT.2006.881721)
- Rothaus , O. S. 1976 . On bent functions . J. Comb. Theory Ser. A , 20 : 300 – 305 . (doi:10.1016/0097-3165(76)90024-8)
- Sarkar , P. and Maitra , S. 2004 . Construction of nonlinear resilient Boolean functions using small affine functions . IEEE Trans. Inf. Theory , 50 ( 9 ) : 2185 – 2193 . (doi:10.1109/TIT.2004.833366)
- Seberry , J. , Zhang , X.-M. and Zheng , Y. 1995 . Nonlinearity and propagation characteristics of balanced Boolean functions . Inf. Comput. , 119 : 1 – 13 . (doi:10.1006/inco.1995.1073)
- Zhang , W.-G. , Lv , C. and Xiao , G.-Z. 2011 . Nearly bent functions . Int. J. Comput. Math. , 88 ( 5 ) : 943 – 949 . (doi:10.1080/00207160.2010.494722)
- Zhang , W.-G. and Xiao , G.-Z. 2009 . Constructions of almost optimal resilient Boolean functions on large even number of variables . IEEE Trans. Inf. Theory , 55 ( 12 ) : 5822 – 5831 . (doi:10.1109/TIT.2009.2032736)
- Zhang , W.-G. and Xiao , G.-Z. 2011 . Construction of almost optimal resilient functions via concatenating Maiorana–Mcfarland functions . SCIENCE CHINA Inf. Sci. , 54 ( 4 ) : 909 – 912 . (doi:10.1007/s11432-011-4230-y)
- Zhang , W.-G. and Xiao , G.-Z. 2011 . Constructions of balanced Boolean functions with high nonlinearity on even number variables . Acta Electron. Sin. , 39 ( 3 ) : 5822 – 5831 .