Codes on Key Errors

Codes on Key Errors
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关键错误代码

DOI:
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发表时间:
2014
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影响因子:
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通讯作者:
Pankaj Kumar Das
Pankaj Kumar Das
中科院分区:
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文献类型:
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作者:
Pankaj Kumar Das

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编码理论的产生是为了检测和纠正通信过程中出现的错误。不同类型的通信信道会产生不同类型的错误,因此需要开发相应的代码来处理这些错误。2013年,Sharma和Gaur引入了一种新的错误,将其称为“关键错误”。本文给出了能够检测这类错误的线性码所需的奇偶校验位数的下界和上界。提供了这种代码的说明。还考虑了能够同时检测和纠正这种错误的代码。
Abstract Coding theory has started with the intention of detection and correction of errors which have occurred during communication. Different types of errors are produced by different types of communication channels and accordingly codes are developed to deal with them. In 2013 Sharma and Gaur introduced a new kind of an error which will be termed “key error”. This paper obtains the lower and upper bounds on the number of parity-check digits required for linear codes capable for detecting such errors. Illustration of such a code is provided. Codes capable of simultaneous detection and correction of such errors have also been considered.