Using the Connected Components of Topological Spaces in Cryptography

Abedal-Hamza Mahdi Hamza; Saba Nazar Faisel Al-khafaji

doi:https://doi.org/10.14445/22315373/IJMTT-V12P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 12 | Number 1 | Year 2014 | Article Id. IJMTT-V12P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V12P505

Using the Connected Components of Topological Spaces in Cryptography

Abedal-Hamza Mahdi Hamza, Saba Nazar Faisel Al-khafaji

Abstract

In this paper, we gave a technique for cryptography. This technique depends on the connected components of a topological space.We chose a basis for a topology such that the elements of this basis are the components of that topological space.

Keywords

Topological space, Connected components, Basis, Cryptography.

References

[1] Adams C., and Franzosa R., Introduction to Topology Pure and Applied, Person Printice Hall, 2008.
[2] Hoffstein J., Pipher J.,& Silverman J.H., An Introduction to mathematical Cryptography, Springer, 2008.
[3] Munkres J. R., Topology, 2nd ed., New Delhi-110001, PHI,2009.
[4] Rosen K. H., An Introduction to Cryptography, 2nd ed., by Taylor & Francis Group, LLC, 2008.

Citation :

Abedal-Hamza Mahdi Hamza, Saba Nazar Faisel Al-khafaji, "Using the Connected Components of Topological Spaces in Cryptography," International Journal of Mathematics Trends and Technology (IJMTT), vol. 12, no. 1, pp. 31-33, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V12P505