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

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Journal of Advanced Mathematics and Education
Cilt: 8 Sayı: 1
A New Application to Coding Theory via generalized Jacobsthal and Jacobsthal-Lucas Numbers

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

Authors : Şükran Uygun, Ersen Akıncı

Pages : 1-11

View : 54 | Download : 42

Publication Date : 2025-02-14

Article Type : Review Paper

Abstract :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.
Keywords : Encoding-Decoding algorithms, Jacobsthal sequence, Jacobsthal- Lucas sequence

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