Research Article
BibTex RIS Cite

A Key Agreement Protocol Involving the Taylor Polynomials of Differentiable Functions

Year 2021, Volume: 2 Issue: 2, 121 - 126, 31.07.2021

Abstract

In this paper, we designed a new key agreement protocol based on some properties of Taylor polynomials. The security of our protocol is based on modular arithmetic used in some steps.

References

  • [1] Arfken G.B., Weber H.J., Harris F.E., Mathematical methods for physicists, Elsevier, 2013.
  • [2] Çağman A., Polat K., Taş S., A key agreement protocol based on group actions, Numerical Methods for Partial Differential Equations, 37(2), 1112-1119, 2021.
  • [3] Diffie W., Hellman M., New directions in cryptography, IEEE Transactions on Information Theory, 22(6), 644-654, 1976.
  • [4] Hughes-Hallett D., Gleason A.M., McCallum W.G., et al., Calculus: Single and Multivariable, John Wiley and Sons, 2017.
  • [5] Merkle R.C., Secure communications over insecure channels, Communications of the ACM, 21(4), 294-299, 1978.
  • [6] Partala J., Algebraic generalization of Diffie-Hellman key exchange, Journal of Mathematical Cryptology, 12(1), 1-21, 2018.
  • [7] Polat K., On key exchange method via topological concepts, TWMS Journal of Applied and Engineering Mathematics, 9(1), 151-158, 2019.
  • [8] Polat K., An application of interior and closure in general topology: A key agreement protocol, Turkish Journal of Science, 6(1), 45-49, 2021.
  • [9] Stinson D.R., Cryptography: Theory and Practice, Chapman and Hall / CRC, 2005.
Year 2021, Volume: 2 Issue: 2, 121 - 126, 31.07.2021

Abstract

References

  • [1] Arfken G.B., Weber H.J., Harris F.E., Mathematical methods for physicists, Elsevier, 2013.
  • [2] Çağman A., Polat K., Taş S., A key agreement protocol based on group actions, Numerical Methods for Partial Differential Equations, 37(2), 1112-1119, 2021.
  • [3] Diffie W., Hellman M., New directions in cryptography, IEEE Transactions on Information Theory, 22(6), 644-654, 1976.
  • [4] Hughes-Hallett D., Gleason A.M., McCallum W.G., et al., Calculus: Single and Multivariable, John Wiley and Sons, 2017.
  • [5] Merkle R.C., Secure communications over insecure channels, Communications of the ACM, 21(4), 294-299, 1978.
  • [6] Partala J., Algebraic generalization of Diffie-Hellman key exchange, Journal of Mathematical Cryptology, 12(1), 1-21, 2018.
  • [7] Polat K., On key exchange method via topological concepts, TWMS Journal of Applied and Engineering Mathematics, 9(1), 151-158, 2019.
  • [8] Polat K., An application of interior and closure in general topology: A key agreement protocol, Turkish Journal of Science, 6(1), 45-49, 2021.
  • [9] Stinson D.R., Cryptography: Theory and Practice, Chapman and Hall / CRC, 2005.
There are 9 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Abdullah Çağman 0000-0002-0376-7042

Publication Date July 31, 2021
Published in Issue Year 2021 Volume: 2 Issue: 2

Cite

19113 FCMS is licensed under the Creative Commons Attribution 4.0 International Public License.