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» The Nonhomomorphicity of Boolean Functions
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SACRYPT
1998
Springer
13 years 9 months ago
The Nonhomomorphicity of Boolean Functions
Abstract. We introduce the notion of nonhomomorphicity as an alternative criterion that forecasts nonlinear characteristics of a Boolean function. Although both nonhomomorphicity a...
Xian-Mo Zhang, Yuliang Zheng
ICISC
1998
110views Cryptology» more  ICISC 1998»
13 years 6 months ago
The nonhomomorphicity of S-boxes
Abstract. In this paper, we introduce the concept of kth-order nonhomomorphicity of mappings or S-boxes as an alternative indicator that forecasts nonlinearity characteristics of a...
Yuliang Zheng, Xian-Mo Zhang
ACISP
1999
Springer
13 years 9 months ago
On the Symmetric Property of Homogeneous Boolean Functions
We use combinatorial methods and permutation groups to classify homogeneous boolean functions. The property of symmetry of a boolean function limits the size of the function’s cl...
Chengxin Qu, Jennifer Seberry, Josef Pieprzyk
AAECC
2007
Springer
194views Algorithms» more  AAECC 2007»
13 years 11 months ago
Generalized Rotation Symmetric and Dihedral Symmetric Boolean Functions - 9 Variable Boolean Functions with Nonlinearity 242
Recently, 9-variable Boolean functions having nonlinearity 241, which is strictly greater than the bent concatenation bound of 240, have been discovered in the class of Rotation Sy...
Selçuk Kavut, Melek D. Yücel
ICALP
2009
Springer
14 years 5 months ago
Limiting Negations in Formulas
Negation-limited circuits have been studied as a circuit model between general circuits and monotone circuits. In this paper, we consider limiting negations in formulas. The minimu...
Hiroki Morizumi