Error Correction of Transmission of Binary Information

O. P. Shafeeva, V. Makarov, A. Gritsay, D. Tyunkov, D. M. Bogorad
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Abstract

The problem of increase in reliability of transmission and data storage in computing systems and networks for the purpose of creation of new codes for detection and error correction is considered. The vectorial encoding technique having small information redundance - one check bit on a binary data word is researched, graphic and mathematical methods of its representation are considered. The new varieties of vectorial codes described in the form of polynomials for error correction in flows of words of binary data or in the arrays which are dynamically transferred between components of the computing system which allow to increase the frequency of detection and correction of errors are offered.
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二进制信息传输的纠错
讨论了提高计算系统和网络中传输和数据存储的可靠性,以便为检测和纠错创造新的代码的问题。研究了具有小信息冗余的矢量编码技术——二进制数据字上的一个校验位,并考虑了其表示的图形和数学方法。提出了以多项式形式描述的矢量码的新品种,用于在二进制数据的字流中或在计算系统组件之间动态传输的数组中进行纠错,从而增加了错误检测和纠错的频率。
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