搜索结果: 1-12 共查到“军事学 Boolean function”相关记录12条 . 查询时间(0.108 秒)
Characterizations of the Degraded Boolean Function and Cryptanalysis of the SAFER Family
Cryptography Block cipher Degradation property Zero- correlation linear cryptanalysis
2016/1/27
This paper investigates the degradation properties of Boolean functions from the aspects of the distributions of dierences and linear masks, and shows two characterizations of the degraded Boolean fu...
When a Boolean Function can be Expressed as the Sum of two Bent Functions
Bent functions Sum of bent functions Maiorana-MacFarland bent function
2016/1/26
In this paper we study the problem that when a Boolean function can
be represented as the sum of two bent functions. This problem was recently
presented by N. Tokareva in studying the number of bent...
A method for obtaining lower bounds on the higher order nonlinearity of Boolean function
Boolean function algebraic immunity
2014/3/12
Obtainment of exact value or high lower bound on the $r$-th order nonlinearity of Boolean function is a very complicated problem (especial if $r > 1$). In a number of papers lower bounds on the $r$-th...
Quantum algorithm to check Resiliency of a Boolean function
check Resiliency a Boolean function
2014/3/13
In this paper, for the first time, we present quantum algorithms to check the order of resiliency of a Boolean function. We first show that the Deutsch-Jozsa algorithm can be directly used for this pu...
1-Resilient Boolean Function with Optimal Algebraic Immunity
Boolean function Algebraic immunity 1-Resilient Balancedness Nonlinearity Algebraic degree
2012/3/23
In this paper, We propose a class of 2k-variable Boolean functions, which have optimal algebraic degree, high nonlinearity, and are 1-resilient. These functions have optimal algebraic immunity when k ...
The Good lower bound of Second-order nonlinearity of a class of Boolean function
Boolean function Higher-order derivatives Second-order nonlinearit Walsh-spectrum
2012/3/26
this paper we find the lower bound of second-order nonlinearity of Boolean function $f_{\lambda}(x) = Tr_{1}^{n}(\lambda x^{p})$ with $p = 2^{2r} + 2^{r} + 1$, $\lambda \in \mathbb{F}_{2^{r}}^{*}$ and...
Efficient Approximation of Higher Order Boolean function in a Low Order Function
Efficient Approximation Higher Order Boolean function Low Order Function
2009/7/14
A few of non-linear approximation methods for Boolean functions
have been developed but they are not of practical application. However,
if a low order Boolean function can be found that can nearly a...
A First Order Recursive Construction of Boolean Function with Optimum Algebraic Immunity
stream cipher algebraic attacks Boolean function
2009/6/12
This paper proposed a first order recursive construction of
Boolean function with optimum algebraic immunity. We also show that
the Boolean functions are balanced and have good algebraic degrees.
Constructions of Even-variable Boolean Function with Optimum Algebraic Immunity
stream cipher algebraic attacks Boolean function
2009/6/12
This paper proposed an improved construction of even-variable
Boolean function with optimum algebraic degree. Compared with those
in [1], our Boolean functions are more balance. Specially, for k=2t+...
New construction of Boolean function with optimum algebraic immunity
Boolean functions Algebraic attack Algebraic immunity
2009/6/4
Information research department , Information engineering university, zhengzhou, 450002
Abstract: Because of the algebraic attacks, a high algebraic immunity is
now an important criteria for Boolean...
Finding Low Degree Annihilators for a Boolean Function Using Polynomial Algorithms
Boolean function low degree annihilator polynomial algorithm recursive algorithm
2008/10/23
Low degree annihilators for Boolean functions are of great interest in
cryptology because of algebraic attacks on LFSR-based stream ciphers. Several
polynomial algorithms for construction of low deg...
Balanced Boolean Function on 13-variables having Nonlinearity strictly greater than the Bent Concatenation Bound
Keywords: Balancedness Boolean Function Nonlinearity
2008/5/30
Very recently, Kavut and Yucel identified 9-variable Boolean functions having
nonlinearity 242, which is currently the best known. However, any of these functions
do not contain any zero in the Wals...