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Open Access Research Article

Modified public key cryptosystem based on distance and geometry area in triangles

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pp. 1815–1823Vol. 26Issue 8December 2023DOI: 10.47974/JIM-1660XML
Received:
13 Sep 2022
Published Online:
29 Dec 2023
Article type:
Research Article
Language:
EN
Article no.:
JIM-1660
Pages:
1815–1823

Abstract

Public key cryptosystems using commutative algebra are not safe from quantum algorithm attacks. For this reason, experts have developed non-commutative algebra applied to geometry-based public key cryptosystems. This study develops a public key cryptosystem using the concept of geometry on the area of a triangle. We can show that the proposed public key cryptosystem works well. Furthermore, mathematical hacking experiments carried out by hackers are complex because the public key cryptosystem works on a ring of real numbers.

Keywords

Subject Classifications

(2010) 11T7114G50

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