Error correcting coding is an effective technique of detecting and correcting errors which may occur due to environmental interference or physical defects such as human errors in the communication channels. The International Standard Serial Number code is internationally used for identifying the title of serial publications. This paper analyzes the efficiency of the international standard serial number code as an error correcting scheme. Moreover, the paper explores on the factors which affect the efficiency of any error correcting scheme. The study utilizes weight checksum technique to detect and correct error(s) in a code word. It is clear that ISSN code is not an efficient error coding scheme. ISSN code is only reliable in error detection. ISSN code can detect any error in the code iff the weight checksum equation does not hold. However, the code does not detect silent errors. The study develops a new efficient and robust modified ISSN code that is efficient in error detection and correction capabilities. The code has dual mechanism for error detection and correction in a code word. If the weight checksum equation does not hold and secondly, if the conditions for the generating equation do not hold. Modified ISSN code can detect and correct silent errors in a code word. Modified ISSN code is an efficient error coding scheme for it is efficient in error detection and correction capabilities.
| Published in | Pure and Applied Mathematics Journal (Volume 10, Issue 1) |
| DOI | 10.11648/j.pamj.20211001.11 |
| Page(s) | 1-8 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2021. Published by Science Publishing Group |
ISSN, Modified ISSN, Efficient, Error, Coding, Scheme
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APA Style
David Muriuki Gikunju, Peter Waweru Kamaku, Augustus Wali Nzomo. (2021). Efficiency of International Standard Serial Number Code as an Error Correcting Scheme. Pure and Applied Mathematics Journal, 10(1), 1-8. https://doi.org/10.11648/j.pamj.20211001.11
ACS Style
David Muriuki Gikunju; Peter Waweru Kamaku; Augustus Wali Nzomo. Efficiency of International Standard Serial Number Code as an Error Correcting Scheme. Pure Appl. Math. J. 2021, 10(1), 1-8. doi: 10.11648/j.pamj.20211001.11
AMA Style
David Muriuki Gikunju, Peter Waweru Kamaku, Augustus Wali Nzomo. Efficiency of International Standard Serial Number Code as an Error Correcting Scheme. Pure Appl Math J. 2021;10(1):1-8. doi: 10.11648/j.pamj.20211001.11
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Download@article{10.11648/j.pamj.20211001.11,
author = {David Muriuki Gikunju and Peter Waweru Kamaku and Augustus Wali Nzomo},
title = {Efficiency of International Standard Serial Number Code as an Error Correcting Scheme},
journal = {Pure and Applied Mathematics Journal},
volume = {10},
number = {1},
pages = {1-8},
doi = {10.11648/j.pamj.20211001.11},
url = {https://doi.org/10.11648/j.pamj.20211001.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20211001.11},
abstract = {Error correcting coding is an effective technique of detecting and correcting errors which may occur due to environmental interference or physical defects such as human errors in the communication channels. The International Standard Serial Number code is internationally used for identifying the title of serial publications. This paper analyzes the efficiency of the international standard serial number code as an error correcting scheme. Moreover, the paper explores on the factors which affect the efficiency of any error correcting scheme. The study utilizes weight checksum technique to detect and correct error(s) in a code word. It is clear that ISSN code is not an efficient error coding scheme. ISSN code is only reliable in error detection. ISSN code can detect any error in the code iff the weight checksum equation does not hold. However, the code does not detect silent errors. The study develops a new efficient and robust modified ISSN code that is efficient in error detection and correction capabilities. The code has dual mechanism for error detection and correction in a code word. If the weight checksum equation does not hold and secondly, if the conditions for the generating equation do not hold. Modified ISSN code can detect and correct silent errors in a code word. Modified ISSN code is an efficient error coding scheme for it is efficient in error detection and correction capabilities.},
year = {2021}
}
TY - JOUR T1 - Efficiency of International Standard Serial Number Code as an Error Correcting Scheme AU - David Muriuki Gikunju AU - Peter Waweru Kamaku AU - Augustus Wali Nzomo Y1 - 2021/02/10 PY - 2021 N1 - https://doi.org/10.11648/j.pamj.20211001.11 DO - 10.11648/j.pamj.20211001.11 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 1 EP - 8 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20211001.11 AB - Error correcting coding is an effective technique of detecting and correcting errors which may occur due to environmental interference or physical defects such as human errors in the communication channels. The International Standard Serial Number code is internationally used for identifying the title of serial publications. This paper analyzes the efficiency of the international standard serial number code as an error correcting scheme. Moreover, the paper explores on the factors which affect the efficiency of any error correcting scheme. The study utilizes weight checksum technique to detect and correct error(s) in a code word. It is clear that ISSN code is not an efficient error coding scheme. ISSN code is only reliable in error detection. ISSN code can detect any error in the code iff the weight checksum equation does not hold. However, the code does not detect silent errors. The study develops a new efficient and robust modified ISSN code that is efficient in error detection and correction capabilities. The code has dual mechanism for error detection and correction in a code word. If the weight checksum equation does not hold and secondly, if the conditions for the generating equation do not hold. Modified ISSN code can detect and correct silent errors in a code word. Modified ISSN code is an efficient error coding scheme for it is efficient in error detection and correction capabilities. VL - 10 IS - 1 ER -
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