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Hill Cipher with r-Circulant Matrices

Cilt: 10 Sayı: 1 29 Nisan 2025
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Hill Cipher with r-Circulant Matrices

Öz

The Hill cipher, a historic symmetric encryption method, has limitations in contemporary cryptography. This study explores enhancing its security by incorporating r-circulant matrices. Existing literature employs circulant matrices within the Hill cipher. In this study we propose a novel encryption algorithm that employs r-circulant matrices with the objective of increasing the algorithm's complexity and resistance to cryptanalysis. The developed algorithm demonstrably achieves a more secure and intricate encryption process which is supported by comparisons and numerical data. Once the algorithm has been identified, it is translated into a computer code and implemented as a program in the Python software language.

Anahtar Kelimeler

Kaynakça

  1. [1] Hill, L., “Cryptography in an algebraic alphabet”, The American Mathematical Monthly 36(6) (1929) : 306-312.
  2. [2] Hill, L., “Concerning certain linear transformation apparatus in cryptography”, The Mathematical Monthly 38(3) (1931) : 135-154.
  3. [3] Christensen, C., “Review of codes, ciphers and spies: tales of military intelligence in world war i by John F. Dooley”, Cyrptologia 40(6) (2016) : 563-566.
  4. [4] Christensen, C., “Lester Hill Revisited”, Cryptologia 38(8) (2014) : 293-332.
  5. [5] Magamba, K., Kadaleka, S., Kasambara, A., “Variable-length hill cipher with MDS key matrix”, International Journal of Computer Applications 57(13) (2012) : 43-45.
  6. [6] Acharya, B., Rath, G.S., Patra, S.K., Panigrahy, S.K., “Novel Methods of Generating Self-Invertible Matrix for Hill Cipher Algorithm”, International Journal of Security (IJS) 1(1) (2007) : 14-21.
  7. [7] Lin, C.H., Lee, C.Y., Lee, C.Y., “Comments on saeednia’s improved scheme for the hill cipher”, Journal of the Chinese Institute of Engineers 27(5) (2004) : 743-746.
  8. [8] Mahendran, R., Mani, K., “Generation of key matrix for hill cipher encryption using classical cipher” in 2017 World Congress on Computing and Communication Technologies (WCCCT) (2017).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Bilgi Güvenliği ve Kriptoloji, Cebir ve Sayı Teorisi

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

29 Nisan 2025

Gönderilme Tarihi

15 Temmuz 2024

Kabul Tarihi

25 Şubat 2025

Yayımlandığı Sayı

Yıl 2025 Cilt: 10 Sayı: 1

Kaynak Göster

APA
Dalkılıç, Ş., Kepekçi, A. E., & Baştürk, M. Z. (2025). Hill Cipher with r-Circulant Matrices. Journal of Engineering Technology and Applied Sciences, 10(1), 21-27. https://doi.org/10.30931/jetas.1516337
AMA
1.Dalkılıç Ş, Kepekçi AE, Baştürk MZ. Hill Cipher with r-Circulant Matrices. Journal of Engineering Technology and Applied Sciences. 2025;10(1):21-27. doi:10.30931/jetas.1516337
Chicago
Dalkılıç, Şeyda, Ahmet Eren Kepekçi, ve Muhammed Zekeriya Baştürk. 2025. “Hill Cipher with r-Circulant Matrices”. Journal of Engineering Technology and Applied Sciences 10 (1): 21-27. https://doi.org/10.30931/jetas.1516337.
EndNote
Dalkılıç Ş, Kepekçi AE, Baştürk MZ (01 Nisan 2025) Hill Cipher with r-Circulant Matrices. Journal of Engineering Technology and Applied Sciences 10 1 21–27.
IEEE
[1]Ş. Dalkılıç, A. E. Kepekçi, ve M. Z. Baştürk, “Hill Cipher with r-Circulant Matrices”, Journal of Engineering Technology and Applied Sciences, c. 10, sy 1, ss. 21–27, Nis. 2025, doi: 10.30931/jetas.1516337.
ISNAD
Dalkılıç, Şeyda - Kepekçi, Ahmet Eren - Baştürk, Muhammed Zekeriya. “Hill Cipher with r-Circulant Matrices”. Journal of Engineering Technology and Applied Sciences 10/1 (01 Nisan 2025): 21-27. https://doi.org/10.30931/jetas.1516337.
JAMA
1.Dalkılıç Ş, Kepekçi AE, Baştürk MZ. Hill Cipher with r-Circulant Matrices. Journal of Engineering Technology and Applied Sciences. 2025;10:21–27.
MLA
Dalkılıç, Şeyda, vd. “Hill Cipher with r-Circulant Matrices”. Journal of Engineering Technology and Applied Sciences, c. 10, sy 1, Nisan 2025, ss. 21-27, doi:10.30931/jetas.1516337.
Vancouver
1.Şeyda Dalkılıç, Ahmet Eren Kepekçi, Muhammed Zekeriya Baştürk. Hill Cipher with r-Circulant Matrices. Journal of Engineering Technology and Applied Sciences. 01 Nisan 2025;10(1):21-7. doi:10.30931/jetas.1516337

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