Research Article
BibTex RIS Cite

An Application of Interior and Closure in General Topology: A Key Agreement Protocol

Year 2021, Volume: 6 Issue: 1, 45 - 49, 30.04.2021

Abstract

In this paper, a new key agreement scheme is constructed using the notions of the interior of a set, the closure of a set, open function, closed function, continuous function in topological spaces. An implementation of this scheme is presented between the two parties and it is shown that they generate the common secret key.

References

  • Douglas R Stinson. Cryptography: theory and practice. Chapman and Hall/CRC, 2005.
  • Ralph C Merkle. Secure communications over insecure channels. Communications of the ACM, 21(4):294–299, 1978.
  • Whitfield Diffie and Martin Hellman. New directions in cryptography. IEEE transactions on Information Theory, 22(6):644–654, 1976.
  • Juha Partala. Algebraic generalization of diffie–hellman key exchange. Journal of Mathematical Cryptology, 12(1):1–21, 2018.
  • Colin Conrad Adams and Robert David Franzosa. Introduction to topology: pure and applied. Pearson Prentice Hall Upper Saddle River, 2008.
  • John L Kelley. General topology. Courier Dover Publications, 2017.
  • James Munkres. Topology: Pearson New International Edition. Pearson, 2013.
Year 2021, Volume: 6 Issue: 1, 45 - 49, 30.04.2021

Abstract

References

  • Douglas R Stinson. Cryptography: theory and practice. Chapman and Hall/CRC, 2005.
  • Ralph C Merkle. Secure communications over insecure channels. Communications of the ACM, 21(4):294–299, 1978.
  • Whitfield Diffie and Martin Hellman. New directions in cryptography. IEEE transactions on Information Theory, 22(6):644–654, 1976.
  • Juha Partala. Algebraic generalization of diffie–hellman key exchange. Journal of Mathematical Cryptology, 12(1):1–21, 2018.
  • Colin Conrad Adams and Robert David Franzosa. Introduction to topology: pure and applied. Pearson Prentice Hall Upper Saddle River, 2008.
  • John L Kelley. General topology. Courier Dover Publications, 2017.
  • James Munkres. Topology: Pearson New International Edition. Pearson, 2013.
There are 7 citations in total.

Details

Primary Language English
Journal Section Volume VI Issue I 2021
Authors

Kadirhan Polat 0000-0002-3460-2021

Publication Date April 30, 2021
Published in Issue Year 2021 Volume: 6 Issue: 1

Cite

APA Polat, K. (2021). An Application of Interior and Closure in General Topology: A Key Agreement Protocol. Turkish Journal of Science, 6(1), 45-49.
AMA Polat K. An Application of Interior and Closure in General Topology: A Key Agreement Protocol. TJOS. April 2021;6(1):45-49.
Chicago Polat, Kadirhan. “An Application of Interior and Closure in General Topology: A Key Agreement Protocol”. Turkish Journal of Science 6, no. 1 (April 2021): 45-49.
EndNote Polat K (April 1, 2021) An Application of Interior and Closure in General Topology: A Key Agreement Protocol. Turkish Journal of Science 6 1 45–49.
IEEE K. Polat, “An Application of Interior and Closure in General Topology: A Key Agreement Protocol”, TJOS, vol. 6, no. 1, pp. 45–49, 2021.
ISNAD Polat, Kadirhan. “An Application of Interior and Closure in General Topology: A Key Agreement Protocol”. Turkish Journal of Science 6/1 (April 2021), 45-49.
JAMA Polat K. An Application of Interior and Closure in General Topology: A Key Agreement Protocol. TJOS. 2021;6:45–49.
MLA Polat, Kadirhan. “An Application of Interior and Closure in General Topology: A Key Agreement Protocol”. Turkish Journal of Science, vol. 6, no. 1, 2021, pp. 45-49.
Vancouver Polat K. An Application of Interior and Closure in General Topology: A Key Agreement Protocol. TJOS. 2021;6(1):45-9.