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Integra: Journal of Integrated Mathematics and Computer Science
Published by Universitas Lampung
ISSN : -     EISSN : 31091792     DOI : https://doi.org/10.26554/integrajimcs
Core Subject : Science, Education,
Computer Science & IT Mathematics
Integra : Journal of Integrated Mathematics and Computer Science is the international journal in the field of Mathematics and Computer Science. Integra : Journal of Integrated Mathematics and Computer Science publish original research work both in a full article or in a short communication form, review article, and technical article in the field of Mathematics and Computer Science. Scope of this journal is : Mathematics Applied Mathematics Statistics Applied Statistics Data Science Computer Science
Arjuna Subject : Matematika - Matematika Komputer
Articles 5 Documents
 1 
Search results for , issue "Vol. 2 No. 1 (2025): March" : 5 Documents clear
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.
A Hybrid ARIMA–GRU Model for Forecasting Palm Oil Prices at PT Sawit Sumbermas Sarana in Central Kalimantan Kurniasari, Dian; Shella, Tiara Pramay; Usman, Mustofa; Warsono
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.20252112

Abstract

The palm oil industry plays a strategic role in Indonesia's economic landscape. As one of the world’s largest producers, Indonesia holds substantial potential in marketing both crude palm oil (CPO) and palm kernel oil on domestic and international fronts. Palm oil prices consistently correlate with CPO prices, given that the pricing of palm oil is benchmarked against CPO, resulting in market fluctuations. Forecasting future palm oil prices becomes an essential measure in response to this volatility. The ARIMA (AutoRegressive Integrated Moving Average) model has been widely recognized as a reliable method for time series forecasting. Despite its strengths, ARIMA faces challenges in identifying the non-linear components that are often present in real-world data. The Gated Recurrent Unit (GRU) model, which incorporates an update gate and a reset gate, offers an alternative that effectively captures complex non-linear patterns. A hybrid model integrating ARIMA and GRU has therefore been developed with the aim of improving predictive accuracy. This hybrid approach includes two stages: the ARIMA model for initial predictions and a GRU model that processes the residuals from the ARIMA output. In this study, the ARIMA-GRU hybrid model demonstrated strong performance, yielding a Mean Squared Error (MSE) of 868.4690, a Root Mean Squared Error (RMSE) of 29.4698, a Mean Absolute Percentage Error (MAPE) of 0.0117, and an overall accuracy of 99.9824%.
Implementation of Christofides Algorithm to Determine the Shortest Tour of Some Hospitals in Palembang City Putri, Dwi Rizka Amelia; Oktavia, Niken Sabella; Chasanah, Siti Laelatul; Sawitri, Riza; Paskalia, Felicia Andrade
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.20252113

Abstract

Determining the shortest route to connect hospitals is a very important aspect of improving the efficiency of medical service distribution in a big city like Palembang. The shortest tour will result in a shorter time required. This study aims to minimize the time needed for a team of technicians who want to distribute medical equipment and provide simple usage examples to some hospitals in Palembang city. There are 20 hospitals under consideration, and the data on time needed from one hospital to another were obtained from Google Maps. The distance between locations was calculated based on travel time using a four-wheeled vehicle. The Christofides Algorithm will be used in this  problem to determine the shortest tour. The results show that the travel time needed is 171 minutes (only for traveling from one hospital to another and back to the origin, not including the time needed for giving the simple usage of medical equipment). This study provides practical solutions to improve time efficiency, such as delivering medical supplies or emergency response.
Path Analysis Effect Corruption, Tax, Inequality Economy and Poverty Level Against Percentage of Teenagers Not Attending School Puspitasari, April; Khinara, Ejia; Rodiyah , Khusni Sinta; Sunardi, Shintia Putri; Daoud, Jamal I
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.20252115

Abstract

This research uses path analysis to examine the relationship between variables: Adolescents who are not in school (NS), corruption (CR), taxes (TR), economic inequality (EN), and poverty (EP). The aim of this research is to determine whether there is a direct effect of CR on TR, a direct effect of TR on EN, a direct effect of TR and EN on EP, and a direct effect of ENand EP onNS. The analysis results show that there is no direct effect of CR on TR but it is still meaningfulness with a value of 0.2588. The direct effect of CR on TR is-0.6984. There is a direct effect of TR and EN on EP. The effect of TR on EP is 0.1681. The effect of EN on EP is-0.5735. There is a direct effect of EN and EP on NS. The effect of EN on NS is 0.3859. The effect of EP on NS is 0.6037.
On the Construction of Rough Quotient Modules in Finite Approximation Spaces Adelia, Lisa; Fitriani; Faisol, Ahmad; Anwar, Yunita Septriana
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.20252116

Abstract

Let S be a set and φ an equivalence relation on S. The pair (S, φ) forms an approximation space, where the relation φ partitions S into mutually disjoint equivalence classes. For any subset B' ⊆ S, the lower approximation Apr(B') is defined as the union of all equivalence classes entirely contained in B', while the upper approximation Apr(B') is the union of all equivalence classes that have a non-empty intersection with B'. The subset B' is called a rough set in (S, φ) if Apr(B') ≠ Apr(B'). If, in addition, B' satisfies certain algebraic conditions, it is termed a rough module. This paper investigates the construction of rough quotient rings and rough quotient modules within such approximation spaces. The approach is developed using finite sets to facilitate the algebraic formulation and analysis of these rough structures.

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