<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Codes on Key Errors

Department of Mathematics, Shivaji College (University of Delhi), Raja Garden, Delhi-110027, India

Cybernetics and Information Technologies

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Codes on Key Errors"}

Coding theory has started with the intention of detection and correction of errors which have occurred during communication. Different types of errors are...

Codes on Key Errors

Published Online: Jul 15, 2014

Page range: 31 - 37

DOI: https://doi.org/10.2478/cait-2014-0017

Keywords
Parity check digit, parity check matrix, syndrome, standard array

© 2014 P. K. Das

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Codes on Key Errors

Published Online: Jul 15, 2014

Page range: 31 - 37

DOI: https://doi.org/10.2478/cait-2014-0017

KeywordsParity check digit, parity check matrix, syndrome, standard array

© 2014 P. K. Das

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Parity check digit, parity check matrix, syndrome, standard array