节点文献
多输出plateaued函数的性质和构造
On Properties and Constructions of Multi-output Plateaued Functions
【摘要】 该文用仿射变换、级联、单射集及m序列的状态转移矩阵等方法构造了多输出plateaued函数,并明确了构造中阶数的变换情况,给出了由上述方法所构造的多输出plateaued函数的广义一阶Walsh循环谱值。另外,还给出了单射集的构造方法。由此,可以构造出一系列不同阶数、新的多输出plateaued函数。
【Abstract】 In this paper, the multi-output plateaued functions are constructed by methods of affine transformation, concatenation, injective sets and the state transform matrix of m-sequences. The variety of order is ascertained, and generalized Walsh cyclic spectrum of the above multi-output plateaued functions are presented. In addition, the injective sets are constructed. So a series of new multi-output plateaued functions are constructed by above methods.
【关键词】 密码学;
plateaued函数;
多输出k阶plateaued函数;
广义Walsh循环谱;
谱支集;
【Key words】 Cryptography; Plateaued functions; Multi-output k-order plateaued functions; Generalized Walsh cyclic spectrum; Support set of spectrum;
【Key words】 Cryptography; Plateaued functions; Multi-output k-order plateaued functions; Generalized Walsh cyclic spectrum; Support set of spectrum;
【基金】 信息安全国家重点实验室开放基金(01-02)资助课题
- 【文献出处】 电子与信息学报 ,Journal of Electronics & Information Technology , 编辑部邮箱 ,2008年12期
- 【分类号】TN918.1
- 【被引频次】7
- 【下载频次】69