BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 19 No 2 (2025): BAREKENG: Journal of Mathematics and Its Application

INTRODUCTION TO DOMINO KLEIN-4 GROUP CRYPTOGRAPHY

Saragih, Asido (Unknown)
Tarigan, Regina Ayunita (Unknown)



Article Info

Publish Date
01 Apr 2025

Abstract

As a type of simple group in mathematics, the concept of the Klein-4 group finds applications in various fields such as biology, 2D materials, games, and more. This research combines the idea of the Klein-4 group with the rules of domino cards to create a binary operation. This binary operation serves as the encryption key, and its inverse serves as the decryption key. The comprehensive process in this study represents a novel application of the Klein-4 group in cryptography. By leveraging the structural properties of the Klein-4 group, this method introduces a unique approach to securing information. The combination of group theory and modular forms in this study enhances the complexity of the encryption and decryption processes, making it more difficult for unauthorized parties to access or interpret the data. As a result, the security of the data is significantly improved. The encryption algorithm is not only efficient but also resistant to common cryptographic attacks. This study demonstrates the potential of abstract algebraic concepts in developing practical solutions for modern-day cryptographic challenges. The research methods and proposed hypotheses in this study have been validated through the proof of the given theorems. However, this study limits the data to alphabet. Researchers interested in the field of cryptography can further develop this idea to apply cryptographic processes to other types of data.

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Journal Info

Abbrev

barekeng

Publisher

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...