阶码

最后，我们计算了MDS码和一个一阶Reed-Muller码构成的直积码的广义Hamming重量，并给出理论证明。

Finally , we calculate the generalized Hamming weights of the product of a MDS code and a first-order Reed-Muller code .

一阶R-M码陪集重量分布的线性特性

Linear Characteristic of Weight Distribution of Elements in the Coset of One Order R M Codes

利用Bool函数和Hadamard变换给出一阶R&M码R（1，m）陪集中元素重量的表达式，同时给出了陪集重量分布相同的条件，并给出了严格的证明。

The weight formulation of a coset member for the one order Reed-Muller code has been obtained by Bool function and Hadamard transformation and the condition of two cosets with same weight hierarchy has been proved .

又利用推广的一阶Reed-Muller码是极长码及重复码的组合，求出推广的一阶Reed-Muller码的纠突发错误能力。

Using the fact that the first order generalized Reed-Muller code is a code combined by simple repetition code and Maximum Length code , the burst error correcting ability of Reed-Muller code is given .

极长码及推广的一阶Reed&MuIIer码的纠突发错误能力

Burst Error Correcting Abilities for Maximum Length Code and Generalized First Order Reed-Muller Code

一阶R&M码陪集的重量分布

Coset Weight Hierarchy for One Order Reed-Muller Code

新的码字由具有M个不相关基的组合和M阶哈达码矩阵相乘而得到。

The new codes can be derived from M uncorrected mates combination and the M-order Hadamard Matrix with " multiplication " .

C是二元[n，k，d]线性弱等重码，证明C等价于1阶ReedMuller码RM（k-1,1）的重复码。

C is a binary linear weak-constant weight code , we show that C is equivalent to the repeated code of the first order Reed-Muller code RM ( k-1,1 ) .

本文刻画了双完备认证码的结构，给出了r阶完备认证码的定义，并给出判定r阶完备认证码的一个充要条件，由组合设计构造了r阶完备认证码。

The construction of doubly perfect authentication codes is presented new definition of r-order perfect authentication codes is proposed . The condition necessary and sufficient to determine r-order perfect authentication codes is obtained , by use of combinatorial design the r-order perfect authentication codes is constructed .

可以表现出实现本系统之创新性或特殊技巧的高阶语言程式码。

High-level code that captures the novel or tricky aspects of the actual implementation .

电路设计中，为了便于信号处理以及控制编码精度，采用数字的方法进行量阶和预测码的计算；

In the design , digital circuits are used to process the signal and control the precision of coding .

然后，提出采用边界的高阶方向链码来判定染色体边界上明显凹凸点的分布，又根据染色体的细化中轴，自动判定出染色体着丝点的位置。

Then using high order chain code of boundary to detect the convex and concave points of the boundary . After that , automatically detect the location of chromosome centromere according to the thinning medial axis .

高阶调制与好码的结合问题

On the combination of good codes and high order modulation s