Generation of Cryptographic Keys with Algorithm of Polygon Triangulation and Catalan Numbers

Muzafer Saračević; Aybeyan Selimi; Faruk Selimovic

doi:10.7494/csci.2018.19.3.2749

Authors

Muzafer Saračević Department of Computer science, University of Novi Pazar, Serbia http://orcid.org/0000-0003-2577-7927
Aybeyan Selimi International Vision University, Macedonia http://orcid.org/0000-0001-8285-2175
Faruk Selimovic Department of Computer science, University of Novi Pazar, Serbia http://orcid.org/0000-0002-0367-9122

DOI:

https://doi.org/10.7494/csci.2018.19.3.2749

Keywords:

Computational geometry, Polygon triangulation, Cryptography, Catalan number, balanced parentheses.

Abstract

In this paper is presented a procedure for the application of one computational geometry algorithm in the process of generating hidden cryptographic keys from one segment of the 3D image. The presented procedure consists of three phases. In the first phase, is done the separation of one segment from the 3D image and determination of triangulation of the separated polygon. In the second phase, is done a conversion from the obtained triangulation of the polygon in the record which represent the Catalan key. In the third phase, the Catalan-key is applied in encryption of text based on the balanced parentheses combinatorial problem.

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