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A New Application to Coding Theory via generalized Jacobsthal and Jacobsthal-Lucas Numbers

Cilt: 8 Sayı: 1 14 Şubat 2025
Şükran Uygun *, Ersen Akıncı
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EN

A New Application to Coding Theory via generalized Jacobsthal and Jacobsthal-Lucas Numbers

Öz

Coding/decoding algorithms carry out vital importance to providing information security since information security is very important for all people in recent years. In this study, we consider two new coding/decoding algorithms by means of J-matrices with elements generalized Jacobsthal and Jacobsthal-Lucas numbers. We used blocked message matrices for our models and we have di¤erent keys for the encryption of each message matrix. These new algorithms will give us opportunity for increasing the security of information and high correct ability.

Anahtar Kelimeler

Encoding-Decoding algorithms, Jacobsthal sequence, Jacobsthal- Lucas sequence

Kaynakça

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Kaynak Göster

APA
Uygun, Ş., & Akıncı, E. (2025). A New Application to Coding Theory via generalized Jacobsthal and Jacobsthal-Lucas Numbers. Journal of Advanced Mathematics and Mathematics Education, 8(1), 1-11. https://izlik.org/JA56WH95PZ
AMA
1.Uygun Ş, Akıncı E. A New Application to Coding Theory via generalized Jacobsthal and Jacobsthal-Lucas Numbers. Journal of Advanced Mathematics and Mathematics Education. 2025;8(1):1-11. https://izlik.org/JA56WH95PZ
Chicago
Uygun, Şükran, ve Ersen Akıncı. 2025. “A New Application to Coding Theory via generalized Jacobsthal and Jacobsthal-Lucas Numbers”. Journal of Advanced Mathematics and Mathematics Education 8 (1): 1-11. https://izlik.org/JA56WH95PZ.
EndNote
Uygun Ş, Akıncı E (01 Şubat 2025) A New Application to Coding Theory via generalized Jacobsthal and Jacobsthal-Lucas Numbers. Journal of Advanced Mathematics and Mathematics Education 8 1 1–11.
IEEE
[1]Ş. Uygun ve E. Akıncı, “A New Application to Coding Theory via generalized Jacobsthal and Jacobsthal-Lucas Numbers”, Journal of Advanced Mathematics and Mathematics Education, c. 8, sy 1, ss. 1–11, Şub. 2025, [çevrimiçi]. Erişim adresi: https://izlik.org/JA56WH95PZ
ISNAD
Uygun, Şükran - Akıncı, Ersen. “A New Application to Coding Theory via generalized Jacobsthal and Jacobsthal-Lucas Numbers”. Journal of Advanced Mathematics and Mathematics Education 8/1 (01 Şubat 2025): 1-11. https://izlik.org/JA56WH95PZ.
JAMA
1.Uygun Ş, Akıncı E. A New Application to Coding Theory via generalized Jacobsthal and Jacobsthal-Lucas Numbers. Journal of Advanced Mathematics and Mathematics Education. 2025;8:1–11.
MLA
Uygun, Şükran, ve Ersen Akıncı. “A New Application to Coding Theory via generalized Jacobsthal and Jacobsthal-Lucas Numbers”. Journal of Advanced Mathematics and Mathematics Education, c. 8, sy 1, Şubat 2025, ss. 1-11, https://izlik.org/JA56WH95PZ.
Vancouver
1.Şükran Uygun, Ersen Akıncı. A New Application to Coding Theory via generalized Jacobsthal and Jacobsthal-Lucas Numbers. Journal of Advanced Mathematics and Mathematics Education [Internet]. 01 Şubat 2025;8(1):1-11. Erişim adresi: https://izlik.org/JA56WH95PZ