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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan
Nur Salamah
Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Universitas Billfath, Indonesia
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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ALGORITHM DESIGN OF ELGAMAL MAX-PLUS ALGEBRA FOR LETTER AND NUMBER CRYPTOGRAPHY WITH UNI-CUSTOM CIPHERTEXT Zumrotus Sya'diyah; Nur Salamah; Faradilla Alfiani
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 4 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss4pp3185-3196

Abstract

This study focuses on the design and implementation of a prototype cryptographic algorithm using the integration of Uni-Custom ciphertext transformation and Max-Plus algebra in the ElGamal scheme. The integration is performed through a sequential process, where the Uni-Custom ciphertext transformation converts plaintext into a dynamic numeric form, and then we use the ElGamal max plus-based algorithm in the encryption process through a public-key mechanism. The primary objective of this research is to explore the feasibility and functional correctness of the proposed hybrid framework rather than to provide a complete cryptographic performance evaluation. The implementation results show that the system exhibits high computational and structural complexity. The security of the proposed system is associated with the hardness of the discrete logarithm problem in the ElGamal scheme, while additional transformation layers enhance variability and reduce pattern predictability. Experimental results show consistent reconstruction of the original message without data loss, indicating promising potential for the development of alternative cryptographic methods based on non-conventional mathematical structures.
Co-Authors Faradilla Alfiani Zumrotus Sya’diyah