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

Year 2025, Volume: 8 Issue: 1, 1 - 11, 14.02.2025

Şükran Uygun , Ersen Akıncı

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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