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Dergiler / Turkish Journal of Engineering / 2026 / Volume: 4 Issue: 3

THE CLASSICAL AES-LIKE CRYPTOLOGY VIA THE FIBONACCI POLYNOMIAL MATRIX

Erdinç Avaroğlu(MERSIN UNIVERSITY)0000-0003-1976-2526
Orhan Dişkaya0000-0001-5698-7834
Hamza Menken0000-0003-1194-3162
Sayfa
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Yayın Tarihi
2020-07-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Successful results were achieved with the method used.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Galois field, has an important position in cryptology.
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Temel Bulgular & Veri:Advanced Encryption Standard (AES) also used in polynomial operations.
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Sonuç & Katkı:Successful results were achieved with the method used.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fibonacci numbers · Fibonacci polynomial numbers · Cassini identity

Abstract

Galois field, has an important position in cryptology. Advanced Encryption Standard (AES) also used in polynomial operations. In this paper, we consider the polynomial operations on the Galois fields, the Fibonacci polynomial sequences. Using a certain irreducible polynomial, we redefine the elements of Fibonacci polynomial sequences to use in our cryptology algorithm. So, we find the classical AES-like cryptology via the Fibonacci polynomial matrix. Successful results were achieved with the method used.

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Bu Makaleye Atıf Yap

Avaroğlu, E., Dişkaya, O., Menken, H. (2020). THE CLASSICAL AES-LIKE CRYPTOLOGY VIA THE FIBONACCI POLYNOMIAL MATRIX. Turkish Journal of Engineering, Volume: 4 Issue: 3. https://doi.org/10.31127/tuje.646926

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Kaynakça (9)

  1. Uçar, S, Taş, N., and Özgür, N. (2019). "A New Application to Coding Theory via Fibonacci and Lucas Numbers". MSAEN 7: 62-70.
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  3. Koshy, T. (2018). “Fibonacci and Lucas Numbers with Applications.” Volume 1, John Wiley & Sons, New Jersey.
  4. Koshy, T. (2019). “Fibonacci and Lucas Numbers with Applications.” Volume 2, John Wiley & Sons, New Jersey.
  5. Stewart, I. (1990). “Galois theory.” Chapman and Hall/CRC.
  6. Klima, R. E., and Sigmon, N. P. (2012). “Cryptology: classical and modern with maplets.” Chapman and Hall/CRC.
  7. Daemen,, J., and Rijmen, V. (2003). "AES Proposal: Rijndael". National Institute of Standards and Technology. p. 1. Archived from the original on 5 March 2013. Retrieved 21 February 2013.
  8. Avaroğlu, E., Koyuncu, I., Özer, A. B., and Türk, M. (2015). “Hybrid pseudo-random number generator for cryptographic systems.” Nonlinear Dynamics, 82(1-2), 239-248.
  9. Uçar, S, Taş, N., and Özgür, N. (2019). "A New Application to Coding Theory via Fibonacci and Lucas Numbers". MSAEN 7: 62-70.