共被期刊论文引用了4次
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| 1 | New Secondary Constructions of Generalized Bent Functions显示文摘Three new secondary constructions of generalized bent functions are presented.We provide a secondary construction of generalized bent functions from indirect sum methods proposed by Carlet et al.A new secondary construction of generalized bent functions from four initial functions is also investigated.We demonstrate that many known constructions can be derived from our proposed construction as special cases by choosing proper initial functions and parameters.By modifying the new construction,a novel secondary construction of generalized bent functions from two initial generalized bent functions is obtained.For the binary case,the dual functions of the bent functions by our method are presented,which share the same formula as the indirect sum. | YANG Zhiyao KE Pinhui CHEN Zhixiong | 2021 | Chinese Journal of Electronics2021，30，6： | 1 |
| 2 | 一类新的代数免疫度最优的奇变元旋转对称布尔函数的构造显示文摘布尔函数可以作为流密码和分组密码中的非线性部件,对密码系统的安全性有着重要的影响.旋转对称布尔函数是一类在输入进行循环移位下输出值保持不变的布尔函数.此类函数包含了很多具有良好密码学性质的布尔函数.如何构造具有最优代数免疫度的奇变元旋转对称布尔函数是布尔函数研究中的一个被广泛关注的问题.针对此问题沈黎鹏和陈克非给出了一种构造方案,所构造的函数非线性度在变元个数n> 23时是同类构造中最高的,但是在n≤23时是不确定的.本文给出一种新的构造方案,所构造的函数具有较高的非线性度,在变元个数n≤23时非线性度是同类构造中最高的,并且在某些情况下其代数次数能达到最高值n-1.此外,在变元个数为11, 13, 15时,利用Simon Fischer的程序验证了新构造的布尔函数具有几乎最优的抵抗快速代数攻击的能力.本文的构造可以为对称密码算法(尤其是利用小变元布尔函数作为非线性部件的轻量级密码算法)的设计提供更多可选择的密码函数. | 王勇 郑东 赵庆兰 李路阳 师宇 | 2022 | 密码学报2022，9，4： | 0 |
| 3 | The GAC Property of a Class of 1-Resilient Functions with High Nonlinearity显示文摘The absolute and sum-of-squares indicators are used to evaluate the Global avalanche characteristics(GAC) of Boolean functions in a global manner. The GAC properties of a class of highly nonlinear 1-resilient Boolean functions are given. We derive new upper bounds of the absolute and sumof-squares indicators for a class of 1-resilient Boolean functions with high nonlinearity. Compared to the known1-resilient Boolean functions, the constructed functions possess higher nonlinearity and better GAC properties. | GE Hui SUN Yujuan XIE Chunlei | 2020 | Chinese Journal of Electronics2020，29，2： | 0 |
| 4 | Constructions of 1-Resilient Boolean Functions with High Nonlinearity and Good Algebraic Degree显示文摘Three of the most essential criteria for cryptographically strong Boolean functions are resiliency,high nonlinearity and high algebraic degree.We give a technique for constructing 1-resilient Boolean functions with high nonlinearity via modifying PS^- class bent functions.The main technique is to extend the support of bent functions in PS^- class by additionally defining two different plateaued functions on two suitably chosen subspaces.A large class of highly nonlinear 1-resilient functions which were not known earlier are obtained. | GE Hui SUN Yujuan ZHUO Zepeng | 2020 | Chinese Journal of Electronics2020，29，4： | 0 |
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