Open Access iconOpen Access

ARTICLE

crossmark

On Network Designs with Coding Error Detection and Correction Application

Mahmoud Higazy1,2,*, Taher A. Nofal1

1 Department of Mathematics and Statistics, College of Science, Taif University, Taif, 21944, Saudi Arabia
2 Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf, 32952, Egypt

* Corresponding Author: Mahmoud Higazy. Email: email

(This article belongs to the Special Issue: Role of Computer in Modelling & Solving Real-World Problems)

Computers, Materials & Continua 2021, 67(3), 3401-3418. https://doi.org/10.32604/cmc.2021.015790

Abstract

The detection of error and its correction is an important area of mathematics that is vastly constructed in all communication systems. Furthermore, combinatorial design theory has several applications like detecting or correcting errors in communication systems. Network (graph) designs (GDs) are introduced as a generalization of the symmetric balanced incomplete block designs (BIBDs) that are utilized directly in the above mentioned application. The networks (graphs) have been represented by vectors whose entries are the labels of the vertices related to the lengths of edges linked to it. Here, a general method is proposed and applied to construct new networks designs. This method of networks representation has simplified the method of constructing the network designs. In this paper, a novel representation of networks is introduced and used as a technique of constructing the group generated network designs of the complete bipartite networks and certain circulants. A technique of constructing the group generated network designs of the circulants is given with group generated graph designs (GDs) of certain circulants. In addition, the GDs are transformed into an incidence matrices, the rows and the columns of these matrices can be both viewed as a binary nonlinear code. A novel coding error detection and correction application is proposed and examined.

Keywords


Cite This Article

APA Style
Higazy, M., Nofal, T.A. (2021). On network designs with coding error detection and correction application. Computers, Materials & Continua, 67(3), 3401-3418. https://doi.org/10.32604/cmc.2021.015790
Vancouver Style
Higazy M, Nofal TA. On network designs with coding error detection and correction application. Comput Mater Contin. 2021;67(3):3401-3418 https://doi.org/10.32604/cmc.2021.015790
IEEE Style
M. Higazy and T.A. Nofal, "On Network Designs with Coding Error Detection and Correction Application," Comput. Mater. Contin., vol. 67, no. 3, pp. 3401-3418. 2021. https://doi.org/10.32604/cmc.2021.015790

Citations




cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 1944

    View

  • 1319

    Download

  • 0

    Like

Share Link