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When first data to be displayed on a first display is mixed with second data to be displayed on a second display in the received data, the second data is sandwiched between the identification codes, and a collator discriminates the identification codes.

当在接收数据中,显示在第一显示屏上的第一数据与显示在第二显示屏上的第二数据混合时,第二数据夹在识别代码之间,比较装置区别识别代码。

The intra-subset complementary codes have ideal correlation properties and the inter-subset complementary codes have approximately ideal correlation properties.

这些子集内的码具有理想的相关性能,同时子集之间的码具有近似理想的相关性能。

Employing the theories of coset codes to describe and study network error-correcting codes is an interesting research topic.

利用陪集码理论去描述和研究网络纠错码是一个令人感兴趣的研究方向。

BCH Codes; Reed-Muller Codes; Period Distribution; Cyclical Coset; Generalized Hamming Weights; Projective System

BCH码;射影Reed-Muller码;周期分布;循环陪集;射影系统;广义汉明重量

In 1957, Prange first began to study cyclic codes over field GF, and then the study of cyclic codes over GF was made great progress both on theory and on practice.

1957年普朗格首先开始在域GF上研究循环码,此后人们对域GF上循环码的研究在理论和实践方面都取得了很大进展。

The problem of finding stabilizer quantum-error-correcting codes can be transformed into the problem of finding classical self-orthogonal linear codes over the Galois field GF(4) under a Hermitian inner product. A classical cyclic code over the field GF(4) is self-orthogonal with respect to the Hermitian inner product iff the generator polynomial of its dual code is a factor of its generator polynomial.

寻找量子稳定子码的问题可以转化为寻找GF(4)上厄米内积自正交的经典线性码的问题;对于GF(4)上的经典循环码,它是厄米内积自正交的,当且仅当它的对偶码的生成多项式是其生成多项式的因子。

We present linear codes over finite fields with Mannheim weight and prove that those codes can correct one error taken from a cyclic subgroup of the multiplicative group of finite fields, which provide an algebraic approach in coding modulation.

最后讨论了有限域上的Mannheim线性纠错码,证明了当错误取值于有限域乘群的一个循环子群时,面向多维信号的线性分组码可以纠单个错并为码调制提供了一种代数渐进方法。

In this paper, new classes of linear block codes over finite fields of the algebraicinteger ring of quadratic number fields Qd~(1/2 modulo irreducible elements with norm p or p~2 are presented. These codes can correct one error which takes from the cyclic subgroup of the multiplicative group of the finite fields. The results presented in this paper extend the corresponding results of previous papers.

在处理适用于二维信号的线性分组码时,我们考虑类数为1的有理数域二次扩域Qd~(1/2的代数整数环,利用范数为p或p~2的不可约元构造有限域,给出剩余类域的一组完全陪集代表元系,从而构造出一类有限域上的线性分组码,当错误取值于有限域乘法群的一个循环子群时,所得到的适用于二维信号的线性分组码可以纠单个错,推广了文[14-16]的结果。

And extended codes of quadratic residue codes over Z〓(Definition 3. 4) also are discussed, which have good dual properties (Theorem 3. 9 and Theorem 3. 10). At last, two kinds of Gray map from Z〓 to Z〓 are defined (Definition 3. 5 and Definition 3. 6), and they are compared with each other, and we find the second Gray map is better than first by an example.

最后,以两种方式定义从Z〓到Z〓的Gray映射并相应的有两种码字的Lee重量定义(定义3.5与定义3.6),并以一实例计算比较了这两种Lee重量定义,指出第二种方式定义的Gray映射更好,因为其相应的Lee重量定义使得相应所得到的最小Lee重量更大。

The bar code technology has abroad applied in transportations, bussiness, medical treatment, manufacturing, storage, postage fields and so on. The bar code technology has improved the speed of data collection and information processing, increased the work efficiency, now one-dimensional bar codes are most widespread, but the information which one-dimensional bar codes stores is limited, this is also its most weakenss.

条码技术自出现以来,得到了人们的普遍关注,发展十分迅速,已广泛用于交通运输、商业、医疗卫生、制造业、仓储业、邮电业等领域,极大的提高了数据采集和信息处理的速度,提高了工作效率,并为管理的科学化、信息化和现代化作出了贡献。

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