Error Detection and Correction Using Hamming and Cyclic Codes in a Communication Channel
Pure and Applied Mathematics Journal
Volume 5, Issue 6, December 2016, Pages: 220-231
Received: Dec. 1, 2016;
Accepted: Dec. 28, 2016;
Published: Jan. 20, 2017
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Irene Ndanu John, Mathematics and Informatics Department, Taita Taveta University, Voi, Kenya
Peter Waweru Kamaku, Pure and Applied Mathematics Department, Jomo Kenyatta University of Agriculture and Technology, JKUAT, Nairobi, Kenya
Dishon Kahuthu Macharia, Mathematics and Informatics Department, Taita Taveta University, Voi, Kenya
Nicholas Muthama Mutua, Mathematics and Informatics Department, Taita Taveta University, Voi, Kenya
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This paper provides an overview of two types of linear block codes: Hamming and cyclic codes. We have generated, encoded and decoded these codes as well as schemes and/or algorithms of error-detecting and error-correcting of these codes. We have managed to detect and correct errors in a communication channel using error detection and correction schemes of hamming and cyclic codes.
Linear Blocks, Hamming, Cyclic, Error-Detecting, Error-Correcting
To cite this article
Irene Ndanu John,
Peter Waweru Kamaku,
Dishon Kahuthu Macharia,
Nicholas Muthama Mutua,
Error Detection and Correction Using Hamming and Cyclic Codes in a Communication Channel, Pure and Applied Mathematics Journal.
Vol. 5, No. 6,
2016, pp. 220-231.
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Attarian Ad. Algebraic Coding Theory. 2006. 12P.
Blahut R. Algebraic Codes for Data Transmission. United Kingdom: Cambridge University Press; 2003. 482p.
Doran R. Encyclopedia of Mathematics and its Applications. 2nd ed. Cambridge University Press; 2002. 205.
Hall J. Notes on Coding Theory. United State America: Michigan State University. 2003. 10P.
Hamming R. Error Detecting and Error Correcting Codes. Bell Syst. Tech. J., 29. 1950; 147-160.
Han Y. Introduction to Binary Linear Block Codes. National Taipei University. Taiwan. 97P.
Kolman B. Introductory Linear Algebra: with Applications. 3rd ed. United States of America: Prentice Hall; 1997. 608P.
Kabatiansky G. Error Correcting Coding and Security for Data Networks. John Wiley & Sons, Ltd; 2005. 278p.
Lemmermeyer F. Error Correcting Codes. 2005. 100P.
Nyaga, L. and Cecilia, M. (2008). Increasing error detection and correction efficiency in the ISBN. Discovery and Innovation, 20: 3–4.
Todd, K. M. (2005). Error Correction Coding: Mathematical Methods and Algorithms. John Wiley & Sons Inc.
Asma & Ramanjaneyulu : Implementation of Convolution Encoder and Adaptive Viterbi Decoder for Error Correction, International Journal of Emerging Engineering Research and Technology.
Egwali Annie O. and Akwukwuma V. V. N. (2013): Performance Evaluation of AN-VE: An Error Detection and Correction Code, African Journal of Computing & ICT.
Vikas Gupta, Chanderkant Verma (2012): Error Detection and Correction: Viterbi Mechanism, International Journal of Computer Science and Communication Engineering.
Neha Chauhan, Pooja Yadav, Preeti Kumari (2014): Error Detecting and Error Correcting Codes, International Journal of Innovative Research in Technology.