CAUCHY: Jurnal Matematika Murni dan Aplikasi
Vol 9, No 2 (2024): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI

Reversible Self-Dual Codes over Finite Field

Hidayat, Ardi Nur (Unknown)
Krisnawati, Vira Hari (Unknown)
Alghofari, Abdul Rouf (Unknown)



Article Info

Publish Date
01 Nov 2024

Abstract

Reversible self-dual code is a linear code which combine the properties from self-dual code and reversible code. Previous research shows that reversible self-dual codes have only been developed over field of order 2 and order 4. In this article, we construct reversible self-dual code over any finite field of order F_q ,  with natural number q=2.  We first examine and prove some of fundamental properties of reversible self-dual code over . After a thorough analysis these, we obtain a new generator matrix of reversible self-dual code.  A new generator matrix is derived from existing self-dual and reversible self-dual code over . It will be shown that a new reversible self-dual over  can be constructs from one and more existing code by specific algebraic methods. Furthermore, using this construction, we determine the minimum distance of reversible self-dual code and ensuring its optimal performance in various applications.

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Journal Info

Abbrev

Math

Publisher

Subject

Mathematics

Description

Jurnal CAUCHY secara berkala terbit dua (2) kali dalam setahun. Redaksi menerima tulisan ilmiah hasil penelitian, kajian kepustakaan, analisis dan pemecahan permasalahan di bidang Matematika (Aljabar, Analisis, Statistika, Komputasi, dan Terapan). Naskah yang diterima akan dikilas (review) oleh ...