Three-Key 12-Note Polyhybrid Encryption

Cemil Karaçam; Eralp Akay; Ilgaz Ünal

Three-Key 12-Note Polyhybrid Encryption

Abstract

In this paper, a dynamic encryption algorithm rich in music and mathematics has been developed. The foundation of this algorithm is the Pythagorean diatonic note series, combined with the alteration tools (Accidentals) in Turkish music. A 12-note, three-key system with equivalent notes we defined was used to create three different and two-notation encryption databases. The corresponding values of characters' ASCII codes in base 12 were structured to match the 12-tone note system in accordance with three different key structures. Formulas necessary for the integration of the three-key system were derived. From a transmission perspective, a symmetric encryption algorithm supporting addition, subtraction, and symmetry operations in base 12 was created. Fixed and dynamic parameter versions of the encryption key were designed. A musical composite function operation, based on the infrastructure of flat, sharp, and the 12-tone note system, was designed and implemented, benefiting from the properties of flat and sharp accidentals. A dynamic musical encryption design was developed with time and serial numbers, three different musical keys, and a staff-supported mathematical composite function structure, ensuring data transmission and character set. Through the integration of mathematical operations with musical terms, an original algorithm was designed, making it highly resistant to breaking, while minimizing the similarity between characters. In terms of data diversity, mathematical operations, and transmission variety, it stands out from similar studies due to its richness.

Keywords

References

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Details

Primary Language

English

Subjects

Algebra and Number Theory, Combinatorics and Discrete Mathematics (Excl. Physical Combinatorics), Applied Mathematics (Other)

Journal Section

Research Article

Authors

Cemil Karaçam
0000-0001-7186-5114
Türkiye

Eralp Akay
0009-0006-6704-7323
Türkiye

Ilgaz Ünal This is me
0009-0005-8994-8846
Türkiye

Publication Date

December 31, 2024

Submission Date

December 6, 2024

Acceptance Date

December 16, 2024

Published in Issue

Year 2024 Volume: 1 Number: 1

IZ

https://izlik.org/JA25BU59TA

Cite

RIS / Bibtex

APA

Karaçam, C., Akay, E., & Ünal, I. (2024). Three-Key 12-Note Polyhybrid Encryption. Türkiye Mathematical Sciences, 1(1), 1-17. https://izlik.org/JA25BU59TA

AMA

1.Karaçam C, Akay E, Ünal I. Three-Key 12-Note Polyhybrid Encryption. TMS. 2024;1(1):1-17. https://izlik.org/JA25BU59TA

Chicago

Karaçam, Cemil, Eralp Akay, and Ilgaz Ünal. 2024. “Three-Key 12-Note Polyhybrid Encryption”. Türkiye Mathematical Sciences 1 (1): 1-17. https://izlik.org/JA25BU59TA.

EndNote

Karaçam C, Akay E, Ünal I (December 1, 2024) Three-Key 12-Note Polyhybrid Encryption. Türkiye Mathematical Sciences 1 1 1–17.

IEEE

[1]C. Karaçam, E. Akay, and I. Ünal, “Three-Key 12-Note Polyhybrid Encryption”, TMS, vol. 1, no. 1, pp. 1–17, Dec. 2024, [Online]. Available: https://izlik.org/JA25BU59TA

ISNAD

Karaçam, Cemil - Akay, Eralp - Ünal, Ilgaz. “Three-Key 12-Note Polyhybrid Encryption”. Türkiye Mathematical Sciences 1/1 (December 1, 2024): 1-17. https://izlik.org/JA25BU59TA.

JAMA

1.Karaçam C, Akay E, Ünal I. Three-Key 12-Note Polyhybrid Encryption. TMS. 2024;1:1–17.

MLA

Karaçam, Cemil, et al. “Three-Key 12-Note Polyhybrid Encryption”. Türkiye Mathematical Sciences, vol. 1, no. 1, Dec. 2024, pp. 1-17, https://izlik.org/JA25BU59TA.

Vancouver

1.Cemil Karaçam, Eralp Akay, Ilgaz Ünal. Three-Key 12-Note Polyhybrid Encryption. TMS [Internet]. 2024 Dec. 1;1(1):1-17. Available from: https://izlik.org/JA25BU59TA