bent function

Non-existence of some special generalized bent function

一些特殊类型广义Bent函数的不存在性

互联网摘选

Further, the fact is pointed out that partially-Bent function may degenerate to two kinds of elemental modes: A Bent function or a Bent function adding with a linear head mod 2 in the paper.

进一步揭示了部分Bent函数可退化成两种基本形式：一个Bent函数或者一个Bent函数与一个线性头的模二加和。

互联网摘选

This paper introduced the construction of Boolean function with highly nonlinear balanced and correlation-immune, using the highly nonlinear of Bent function to construct Boolean function with some cryptography characters.

介绍一类高非线性的平衡相关免疫的布尔函数的构造方法，并利用Bent函数的高非线性，经直和的方法构造出具有多种密码学性质的布尔函数。

互联网摘选

A method for recursively constructing vector generalized Bent function is presented.

该文还给出了广义向量Bent函数的一种递归构造法。

互联网摘选

Bent function and the finite state machine combiner in stream ciphers

流密码中Bent函数与有限状态机组合器

互联网摘选

In this paper, bent matrix is introduced when bent function is denoted by the ordered characteristic matrix.

通过将Bent函数表示为定序特征矩阵，引入Bent矩阵的概念；

互联网摘选

Constructing Bent Sequences by Trace Function

用迹变换构造曲面序列

互联网摘选

Construction for Bent Function Pair Mates and Families of Bent Complementary Function Pairs

Bent函数偶侣与Bent互补函数偶族的构造方法

互联网摘选

A new partially Bent function equivalent definition is also proposed.

提出了一个新的Bent部分函数的等价定义。

互联网摘选

The research results show that the real expanded multiple of ski-jump current bent under the function of stream fluctuating load is analogous to the situation under the function of sinusoidal wave load after one or two periods.

研究成果表明，挑流排架在水流脉动载荷作用下的实际扩大倍数与正弦波载荷作用下经过1～2个周期时的情况相当。

互联网摘选

A kind of Bent function and functions satisfying the strict Avalanche Criterion are constructed by using permutation formed by q-valued logical function group.

采用q值逻辑函数组的置换构造了一类Bent函数和满足严格雪崩准则的函数；

互联网摘选

A Construction of Quasi-Bent Function

一种拟Bent函数的构造方法

互联网摘选

Bent function has the highest nonlinearity and satisfies the highest degree propagation criterion, so it has very important applications in cryptography, coding theory, sequences and signal designing theory.

由于具有最高的非线性度并满足最高阶的扩散准则，bent函数在密码、编码理论、序列以及信号设计理论中都有重要的应用。

互联网摘选

This leads to the main interest of normality concerning Bent functions: a Bent function which is non-normal does not belong to any known class of Bent functions.

这引起我们关于Bent函数正规性的兴趣：不具正规性的Bent函数不属于我们所知道的任何一种Bent函数类型。

互联网摘选

Recursive construction based on special arrays for the families of Bent complementary function pairs

基于特殊阵列递归构造Bent互补函数偶族

互联网摘选

It constructs a Bent function by concatenating two semi-Bent functions, and the constructed Bent function has the maximum algebraic degree and the controllable terms.

该方法通过级联二个半Bent函数得到Bent函数，所构造的Bent函数具有极大的代数次数和可控的单项式项数。

互联网摘选

In order to further research the code pairs with one value dyadic relative functions and give a mathematic method for researching it, the concept of the families of Bent complementary function pairs ( BCFPF) is presented.

为了进一步研究单值并元相关函数互补码偶，并为其研究提供有效的数学工具，提出了一类新的类Bent函数&Bent互补函数偶族。

互联网摘选

Using Walsh transform, correlations between a Bent function and part of its variables are analysed, and a class of Boolean functions is introduced which hold the same asymptotic spectrum properties as Bent functions.

利用Walsh变换，分析了Bent函数与其部分变量之间的相关性，给出了一类与Bent函数有相同渐近谱特性的布尔函数的结构。

互联网摘选

Generalized Partially Bent Function s

广义部分Bent函数

互联网摘选