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ACISP
1997
Springer
13 years 9 months ago
New Lower Bounds on Nonlinearity and a Class of Highly Nonlinear Functions
Abstract. Highly nonlinear Boolean functions occupy an important position in the design of secure block as well as stream ciphers. This paper proves two new lower bounds on the non...
Xian-Mo Zhang, Yuliang Zheng
COCO
1997
Springer
144views Algorithms» more  COCO 1997»
13 years 9 months ago
Polynomial Vicinity Circuits and Nonlinear Lower Bounds
We study families of Boolean circuits with the property that the number of gates at distance t fanning into or out of any given gate in a circuit is bounded above by a polynomial ...
Kenneth W. Regan
TIT
2008
130views more  TIT 2008»
13 years 5 months ago
Improving the Lower Bound on the Higher Order Nonlinearity of Boolean Functions With Prescribed Algebraic Immunity
Abstract. The recent algebraic attacks have received a lot of attention in cryptographic literature. The algebraic immunity of a Boolean function quantifies its resistance to the s...
Sihem Mesnager
TIT
2008
78views more  TIT 2008»
13 years 5 months ago
Recursive Lower Bounds on the Nonlinearity Profile of Boolean Functions and Their Applications
The nonlinearity profile of a Boolean function (i.e. the sequence of its minimum Hamming distances nlr(f) to all functions of degrees at most r, for r 1) is a cryptographic crite...
Claude Carlet
DCC
2005
IEEE
14 years 5 months ago
Highly Nonlinear Resilient Functions Through Disjoint Codes in Projective Spaces
Functions which map n-bits to m-bits are important cryptographic sub-primitives in the design of additive stream ciphers. We construct highly nonlinear t-resilient such functions (...
Pascale Charpin, Enes Pasalic