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A Key Agreement Protocol Involving the Taylor Polynomials of Differentiable Functions

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

Abdullah Çağman

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.

Keywords

Key Agreement Protocol Taylor polynomial Cryptography

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

Abdullah Çağman

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

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