非线性码 meaning in Chinese
nonlinear code
Examples
- The other is the modified hamming bound , also the geometry of the bound is introduced . the fourth chapter is about the linear block codes and their unequal error protection capability
第三章主要证明了两个关于非均匀保护的性能限,这两个性能限不仅对线性码有效,对非线性码同样有效。 - The theory of quaternary linear codes is one of the important subjects in recent ten years , which is closely related with the study on constructions and properties of binary nonlinear codes
四元线性码是经典的纠错码理论在近十年间发展起采的一个重要研究方向,它与二元非线性码的构造及研究有着紧密的联系。 - After a study of many kinds of methods to generate nonlinear extended shortened codes , four kinds of nonlinear extended shortened codes are generated . also the four kinds of methods are analyzed and simulated
本文进一步构造了非线性扩展缩短码,研究了多种构造非线性码的方法,提出四种构造非线性扩展缩短码的方法并理论分析和仿真比较这四种非线性码。 - - the trace representation and the 2 - adic representation for the dual of the quaternary goethals code are given , and its binary image is proved to be the formal dual of the binary goethals code . - the generalized macwilliams identities are given for the support weight distribution of a quaternary linear code with type 4k and that of its dual code
给出了四元goethals码的对偶码的迹表示及2 - adic表示,并证明了它在gray映射下的二元像是二元goethals码的形式对偶码;从而可以将对非线性码二元goethals码及其形式对偶码的研究转化为对四元线性码的研究; 3 - In this paper , we will more deeply research on the base of the works , the first part , we give the summarize for the condition and the significance . the second part , we give the preparation knowledge to the whole paper ; the third part , we research the lower and upper bound of the generalized hamming weights for the linear codes ; include d ( r , n , k ) bound , the finite sum representation of the lower and upper bound function of generalized hamming weights for linear codes , generalized griesmer bounds ; the 4 - th part , research the definition , the property of the r - th generalized weights for the non - linear codes and non - linear constant codes , and give the expression of the generalized weight of binary ( n , m , d ) non - linear codes ; the 5 - th part , research the weight hierarchy of linear codes and non - linear codes , for example , necessary condition and sufficient condition , the 6 - th part , we research the expression of the r - th generalized hamming weights of reseaval classes codes
本文在已有的基础之上作了进一步的探讨,第一章综述了广义hamming重量的现状和意义;第二章给出了全文的预备知识;第三章研究了线性码的广义hamming重量的一些上下界;包括d ( r , n , k )界,上下限函数有限和表达式,广义griesmer界;第四章讨论了非线性码及非线性等重码的广义hamming重量的定义、性质,给出了2元( n , m , d )非线性码的第r广义hamming重量的表达式;第五章研究了线性码、非线性码的重量谱系;第六章给出了几类码的广义hamming重量的表达式,这些码包括直和码( directsumcodes ) 、笛卡尔积码( cartesianproductcodes ) 、张量积码( tensorproductcodes ) 、延长hamming码。