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All Journal JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA Al-Jabar : Jurnal Pendidikan Matematika
Muktyas, Indra Bayu
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Education Mathematics

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Membangkitkan Suatu Matriks Unimodular Dengan Python Arifin, Samsul; Muktyas, Indra Bayu
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol 5, No 2 (2018): Jurnal Derivat (Desember 2018)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (924.366 KB) | DOI: 10.31316/j.derivat.v5i2.361

Abstract

An SPL can be represented as a multiplication of the coefficient matrix and solution vector of the SPL. Determining the solution of an SPL can use the inverse matrix method and Cramer's rule, where both can use the concept of the determinant of a matrix. If the coefficient matrix is a unimodular matrix, then all solutions of an SPL are integers. In this paper we will present a method of generating a unimodular matrix using Python so that it can be utilized on an SPL. Keywords: SPL, Unimodular Matrix, Python
Unimodular matrix and bernoulli map on text encryption algorithm using python Arifin, Samsul; Muktyas, Indra Bayu; Prasetyo, Puguh Wahyu; Abdillah, Abdul Azis
Al-Jabar: Jurnal Pendidikan Matematika Vol 12 No 2 (2021): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v12i2.10469

Abstract

One of the encryption algorithms is the Hill Cipher. The square key matrix in the Hill Cipher method must have an inverse modulo. The unimodular matrix is one of the few matrices that must have an inverse. A unimodular matrix can be utilized as a key in the encryption process. This research aims to demonstrate that there is another approach to protect text message data. Symmetric cryptography is the sort of encryption utilized. A Bernoulli Map is used to create a unimodular matrix. To begin, the researchers use an identity matrix to generate a unimodular matrix. The Bernoulli Map series of real values in (0,1) is translated to integers between 0 and 255. The numbers are then inserted into the unimodular matrix's top triangular entries. To acquire the full matrix as the key, the researchers utilize Elementary Row Operations. The data is then encrypted using modulo matrix multiplication.
Co-Authors Abdillah, Abdul Azis Puguh Wahyu Prasetyo, Puguh Samsul Arifin Samsul Arifin