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Wahyu Maulana, Wahyu
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Journal : Semeton Mathematics Journal

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Penyelesaian Polinomial Irreducible pada Zp dan FPB, KPK Dua Polinomial pada Fn Menggunakan Python Nusantara, Yudha Sakti; Maulana, Wahyu
Semeton Mathematics Journal Vol 1 No 2 (2024): Oktober
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v1i2.227

Abstract

This research aims to solve the irreducible polynomial problem over finite field ​Zp and determine the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of two polynomials over finite field Fn using Python programming language. In the digital age, programming plays an important role in various disciplines. Python, with its simple syntax and computational libraries like SymPy, has become a top choice among the various programming languages available. Polynomials appear frequently in the computer field, especially in cryptographic algorithms, data compression, and error coding. This research utilizes Euclid's Algorithm to determine the GCD and LCM of two polynomials over a finite field Fn, as well as evaluate the irreducibility of polynomials over a finite field ​Zp. Determining irreducibility is very important in polynomial theory and is a challenging task if done manually. With the help of Python, this research produces a script or syntax that is able to automate the process, thus saving time and reducing complexity. The final result of this research is an effective Python script or syntax to determine the GCD and LCM of two polynomials over Fn, as well as evaluate whether a polynomial is reducible or irreducible over ​Zp.
Co-Authors Adip Mustofa Akram, Akram Alam Budiman Thamsi Alfian, Nurul Asas, Istianah Azizah, Rahmah Chalik, Citra Aulian Efendi, Junaidi Eka Titin Nurmala Sari Elfrida Ratnawati Fadhillah, Azriel Fajar, Achmarul Fajriah, Nur Fandayani, Enno Karina Fikri Mahzumi Hendradi, Alif I Made Indra Imelda Indra P, I Made Irwansyah Irwansyah Islami, Ivon Dewinda Lestari Pramita Putri, Devi Marsum Marsum Mauliza, Rizki Intan Multiwijaya, Vience Ratna Mutahharah, Mutahharah Negara, Yudha Dewi Putra Nike Septivani Nofadila, Tefy Nopriyanto, Indra Novianti, Yuniar Siska Nurhaliza, Nurhaliza Nurul Husna Nusantara, Yudha Sakti Nuzulul Qurnain, Nuzulul Padli, Holil Purwanto Purwanto Putri, Devi lestari Pramita Rachmawati, Ria Rahayu, Runik Puji Raihan, Ishma Riadhus Sholihin Ridha Alamsyah Risal, Zef Robbani, Irsyad Sabrina, Tania Bonita Santika Sari Saputra, Noverdo Saputro, Annisa Sidiq, Ilham Sirait, Joshua Yoga Frans Suar, Aprima Surya, Citra Larashati Syifa, Annisa Tumansery, Andreas Very Andrianingsih Yunisha, Afifah Nur