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

Yıl 2021, Cilt: 6 Sayı: 1, 45 - 49, 30.04.2021

Öz

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.

Kaynakça

  • 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.
Yıl 2021, Cilt: 6 Sayı: 1, 45 - 49, 30.04.2021

Öz

Kaynakça

  • 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.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Volume VI Issue I 2021
Yazarlar

Kadirhan Polat 0000-0002-3460-2021

Yayımlanma Tarihi 30 Nisan 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 6 Sayı: 1

Kaynak Göster

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. Nisan 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, sy. 1 (Nisan 2021): 45-49.
EndNote Polat K (01 Nisan 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, c. 6, sy. 1, ss. 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 (Nisan 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, c. 6, sy. 1, 2021, ss. 45-49.
Vancouver Polat K. An Application of Interior and Closure in General Topology: A Key Agreement Protocol. TJOS. 2021;6(1):45-9.