Pure and Applied Mathematics Journal

| Peer-Reviewed |

Efficiency of International Standard Serial Number Code as an Error Correcting Scheme

Received: 30 July 2020    Accepted: 27 August 2020    Published: 10 February 2021
Views:       Downloads:

Share This Article

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.

DOI 10.11648/j.pamj.20211001.11
Published in Pure and Applied Mathematics Journal (Volume 10, Issue 1, February 2021)
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), 2024. Published by Science Publishing Group

Keywords

ISSN, Modified ISSN, Efficient, Error, Coding, Scheme

References
[1] Achalare, R. A., Patil, S. V., & Patil, S. S. (2014). Significance of ISSN and ISBN in Publications. Current Pharma Research, 5 (1).
[2] Brown, S. (2003). Assignment of International Standard Serial Numbers (ISSNs) to Online Resources: a research project. Serials, 16 (3).
[3] Doumen, J. M. (2003). Some Applications of Coding Theory in Cryptography. Eindhoven University Press, Germany, Germany.
[4] Egghe, L. (2005). The Coding of the ISBN. Retrieved from: http://en.scientificcommons.org /leo egghe, Date accessed: 6th May 2010.
[5] Egghe, L. and Ronald, R. (2005). On the detection of double errors in isbn and issn-like codes.Retrieved from: http://en.scientific commons. org/leo egghe,Dateaccessed: 6th May 2010.
[6] Eric, W. (2010). ISBN code. Retrieved from: http://mathworld.wolfram.com/ISBN.html, Date accessed: 5th May 2010.
[7] Huffman, W. C., & Pless, V. (2010). Fundamentals of Error-Correcting Codes. Cambridge university press.
[8] ISSN International Centre (2003). ISSN manual: International Standard Serial Number. Paris: ISSN International Centre.
[9] ISSN International Centre (2016). ISSN International Centre activity report for 2016. Paris: ISSN International Centre.
[10] Kamaku,W. (2012). Error Detection and Correction on the International Standard Book Number. American International Journal of Contemporary Research, 2 (2) : 150152.
[11] Lowery, J. (2014, June 26). International Standard Serial Number (ISSN). Retrieved from http://www.bl.uk/issn#.
[12] Muriuki, D. G., Waweru, P. K., & Wali, A. N. (2019). Properties of the International Standard Serial Number. Journal of Basic and Applied .Vol. 47, N0.1 pp 117-129
[13] National Information Standards Organization (U.S.), & American National Standards Institute. (1995). International standard serial numbering (ISSN). Bethesda, Md., U.S.A: NISO Press.
[14] Nyaga, L. and Cecilia, M. (2008). Increasing Error Detection and Correction Efficiency in the ISBN. Discovery and Innovation, 20: 3–4. 8 David Muriuki Gikunju et al.: Efficiency of International Standard Serial Number Code as an Error Correcting Scheme
[15] Oury, C. (2016). Revising the ISSN: involving stakeholders to adapt a bibliographic standard to its ever- changing environment.
[16] Singh, J., & Singh, J. (2012, January). A comparative study of error detection and correction coding techniques. In 2012 Second International Conference on Advanced Computing & Communication Technologies (pp. 187- 189). IEEE.
[17] Sivan, S., Katta, S., Venkatesulu, P., & Nayaka, R. J. (2013, April). FPGA implementation of low bandwidth ECC code. In 2013 IEEE Conference on Information & Communication Technologies (pp. 468-472). IEEE
[18] Skrzypczak, J. (2014). International Standard Serial Number (ISSN).
[19] Stein, W. (2009). Elementary Number theory: Primes, Congruences, and Secrets. Undergraduate Texts in Mathematics.
[20] Todd, K. M. (2005). Error Correction Coding: Mathematical Methods and Algorithms John Wiley & Sons Inc.
[21] Wachira, L. (2015). Error Detection and Correction on the Credit Card Number Using Luhn Algorith. Master’s thesis, J. K. U. A. T, Juja, Kenya. 2 (2): 150152.
Author Information
  • Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya

  • Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya

  • Department of Mathematics and Actuarial Science, South Eastern Kenya University, Kitui, Kenya

Cite This Article
  • 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

    Copy | Download

    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

    Copy | Download

    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

    Copy | 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://download.sciencepg.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}
    }
    

    Copy | Download

  • 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  - 

    Copy | Download

  • Sections