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搜索结果: 1-12 共查到a Boolean function相关记录12条 . 查询时间(0.093 秒)
This paper investigates the degradation properties of Boolean functions from the aspects of the distributions of di erences and linear masks, and shows two characterizations of the degraded Boolean fu...
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...
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...
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...
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 ...
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...
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...
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.
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+...
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...
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...
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...

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