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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika MATEMATIKA Journal of the Indonesian Mathematical Society Journal of Natural Sciences and Mathematics Research Al-Jabar : Jurnal Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Jurnal Pengabdian Masyarakat MIPA dan Pendidikan MIPA JTAM (Jurnal Teori dan Aplikasi Matematika) Jambura Journal of Mathematics Jurnal Pengabdian Kepada Masyarakat (JPKM) Tabikpun Pattimura Proceeding : Conference of Science and Technology Jurnal Sosial dan Sains Jurnal Pengabdian West Science Integra: Journal of Integrated Mathematics and Computer Science Limits: Journal of Mathematics and Its Applications
Nikken Prima Puspita
Departemen Matematika, Fakultas Sains Dan Matematika, Universitas Diponegoro, Indonesia
Agriculture, Biological Sciences & Forestry Humanities Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Health Professions Law, Crime, Criminology & Criminal Justice Library & Information Science Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Public Health Social Sciences Transportation

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Journal : Integra: Journal of Integrated Mathematics and Computer Science

 1 
Key Matrix Generation Using Random Functions in Hill Cipher Modulo 95 Cryptography Bahtiar, Nurdin; Widodo, Aris Puji; Puspita, Nikken Prima
Integra: Journal of Integrated Mathematics and Computer Science Vol. 2 No. 1 (2025): March
Publisher : Magister Program of Mathematics, Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/integrajimcs.20252111

Abstract

In symmetric cryptography, the confidentiality of the chosen key and the security of its delivery mechanism are paramount to minimize the risk of unauthorized disclosure. Typically, in such systems, the sender and recipient focus primarily on the message (plaintext and ciphertext) rather than the complexities associated with key management. This approach aims to alleviate the burden of selecting a suitable and robust key for communicating parties. This study introduces a Hill Cipher modulo 95 cryptography method employing a matrix-based key, where key generation is achieved through a quantifiable randomization algorithm. The developed 2x2 key matrix facilitates a substantial number of possible keys, specifically 954 (exceeding 81 million). The key matrix generation process incorporates several functions, including those for ASCII character conversion, prime number verification, relative primality checks, modulo arithmetic, inverse modulo computation, determinant calculation, and inverse matrix determination. To simulate the encryption and decryption process, a desktop application was developed using the Lazarus Development IDE version 3.6. The application demonstrates effective generation of the required key matrix.
The Cleanness Property of The Integers Modulo n (ℤn) 'Aliyah, Dheva Ufiz; Puspita, Nikken Prima; Tjahjana, Redemtus Heru
Integra: Journal of Integrated Mathematics and Computer Science Vol. 1 No. 2 (2024): July
Publisher : Magister Program of Mathematics, Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/integrajimcs.20241214

Abstract

Assume that R is a ring with identity. A ring R is said to be clean when each of its elements can be written as the sum of an idempotent and a unit element within the ring. A stronger condition, known as strongly clean, requires that these elements commute under multiplication. As a special case, a module M over ring R is called a clean module when the endomorphism ring of the M is a clean module over R. Moreover, when the ring endomorphism of R-module M is a strongly clean, then the module M is referred to as a strongly clean. We know that the integers modulo n, denoted by ℤn, is a ring by the set of congruence classes modulo n, with standard addition and multiplication operations. In this study, we explore the cleanness properties of the ring ℤn and establish that it is a strongly clean ring. Furthermore, we study about the cleanness of ℤn as a module over ℤ and investigate the strongly cleanness of it module.
Co-Authors 'Aliyah, Dheva Ufiz Adillah, Aisyah Nur Agung, Nadiva Putri Alfiana, Shinta Nur Alhusna, Lathifatul Inayah Aris Puji Widodo Azarine, Dinda Bambang Irawanto Berlian Arswendo Adietya Budi Surodjo Budi Surodjo Cahyo, Yassin Dwi Damayanti, Athalia Dwi Lestari Eminugroho Ratna Sari Feriyanto, Erikha Fitriana Hasnani Fitriana Hasnani Fitriani Fitriani Hanifah, Zaqi Afif Harjito - Hasnani, Fitriana Hermawati, Dinda Widya Ikhtiyar, Zakaria Bani Indah E Wijayanti Indah Emilia Wijayanti Indah Emilia Wijayanti Juwanda, Farikhin Lucia Ratnasari Meryta Febrilian Fatimah Meryta Febrilian Fatimah, Meryta Febrilian Mudrikah Mudrikah Mudrikah, Mudrikah Mufliha, Azza Nuralesa, Suffi Nurdin Bahtiar Nurhasmadiar Nandini Nurhayati, Neri Nurul Fadhilah Paramita, Arum Qurrotulaini Pradjna Pradipta, Benediktus Panji Rahma, Suhaila Faiza Rakha, Andrea Putra Razis Aji Saputro Redemtus Heru Tjahjana Risti Sokawati Saputro, Razis Aji Sartika Silalahi, Jennifer Evelyn Shabah, Shava Shavia Siti Khabibah Siti Khabibah Sokawati, Risti Suryoto Suryoto ., Suryoto Suryoto Suryoto Thomas, Abdiel Bellamy Titi Udjiani SRRM Titi Udjiani SRRM Utami, Ratna Zakiyya Meilia widowati widowati Yeni Susanti