迹函数 meaning in Chinese
trace function
Examples
- By initiating the values of vector description for a primitive element , all finite field elements could be generated by continue cyclic shifting , gmw sequences then could be generated by trace function calculation
通过预置本原元向量表达的初始值，不断的进行向量循环移位来生成有限域中的元素。生成有限域中所有元素后，即可按迹函数计算出gmw序列。 - In the design and analysis of sequence cipher , we obtain the following results . first , we give the trace representation of primitive sequences and their corresponding highest lever sequences on galois ring by using the trace function theory and the characteristic of lever factorization , and determine the correlation function linear complexity and element distribution of the highest lever sequences of primitive sequences on galois ring gr ( 4 , m )
在序列密码的设计和分析方面：首先，利用galois环上迹函数理论和本原序列的权位分解特征，给出了本原序列及其最高权位序列的迹表达式，然后利用galois域上二次型理论与指数和理论决定了特征为4的galois环上本原序列的最高权位的相关函数、线性复杂度和元素分布。 - Second , we discuss the correlation properties and the hamming correlation properties of a number of trace function generation sequences by using systematic ways . we calculate the correlation function of generalized trace function sequences which include no sequences > kasami sequences and kumar - moreno sequences , and we also calculate the hamming correlation function of no sequences ^ kasami sequences and kumar - moreno sequences . at last , we degine the frequency - hopping sequences with optimal hamming correlation properties
其次，用较为统一的工具去研究各种迹函数生成序列的相关特性与hamming相关特性，求出了更广意义下迹函数生成序列的相关函数，这类序列包括了no序列、 kasami序列与kumar - moreno序列；同时求出了no序列、 kasami序列和kumar - moreno序列的hamming相关函数值，研究发现某些具有良好相关特性的迹函数生成序列未必具有良好的hamming相关特性；最后，构造了具有最佳hamming相关性能的跳频序列族。