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Dergiler / Turkish Journal of Science / 2026 / Cilt: 6 Sayı: 1

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

Kadirhan Polat(AGRI IBRAHIM CECEN UNIVERSITY)0000-0002-3460-2021
Sayfa
45–49
Yayın Tarihi
2021-04-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

An implementation of this scheme is presented between the two parties and it is shown that they generate the common secret key.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
💡
Sonuç & Katkı:An implementation of this scheme is presented between the two parties and it is shown that they generate the common secret key.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:closure · interior · cryptography

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.

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Bu Makaleye Atıf Yap

Polat, K. (2021). An Application of Interior and Closure in General Topology: A Key Agreement Protocol. Turkish Journal of Science, Cilt: 6 Sayı: 1, 45–49. https://ajindex.com/articles/1557543

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Kaynakça (7)

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