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All Journal Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam (JURRIMIPA) Katalis Pendidikan: Jurnal Ilmu Pendidikan dan Matematika
Bobby Putra Delon Togatorop
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Education Mathematics Other

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Analisis Kombinatorik Dalam Menentukan Keamanan dan Kompleksitas Password dengan Penerapan Teori Kombinatorik Arnah Ritonga; Bobby Putra Delon Togatorop; Herdita Br Ginting; Klara Manila Laoli; Monica Tri Yuni Sinaga; Rina Intan Amelia; Widya kartini pangaribuan
Katalis Pendidikan : Jurnal Ilmu Pendidikan dan Matematika Vol. 2 No. 2 (2025): Katalis Pendidikan : Jurnal Ilmu Pendidikan dan Matematika
Publisher : Lembaga Pengembangan Kinerja Dosen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/katalis.v2i2.1463

Abstract

Password security is a crucial aspect of digital authentication systems; however, many users still rely on weak and easily guessable passwords, increasing their vulnerability to cyber threats such as brute force and dictionary attacks. This study aims to evaluate password strength based on length and character complexity using a combinatorial theory approach. Through simulations, this research calculates the number of possible character combinations for various password lengths and character types, including lowercase letters, uppercase letters, numbers, and symbols. Additionally, the study estimates the time required to crack different types of passwords using brute force techniques and compares the results with real-world password breach data. The simulation results reveal that passwords composed solely of lowercase letters and fewer than eight characters in length can be cracked within seconds. In contrast, passwords that include a combination of uppercase and lowercase letters, numbers, and symbols with a minimum length of 12 characters would require more than one million years to be deciphered through brute force methods. These findings emphasize that increasing both the length and complexity of passwords significantly enhances security strength. Therefore, users are strongly encouraged to create passwords that are at least 12 characters long and include a diverse mix of character types. Furthermore, implementing Multi-Factor Authentication (MFA) and using password managers are highly recommended strategies to improve account protection. By adopting these practices, the risk of data breaches due to compromised passwords can be substantially reduced, contributing to stronger and more resilient digital security environments.
Penerapan Jadwal Amortisasi dan Dana Pelunasan pada Kredit Perumahan Rakyat (KPR) Bobby Putra Delon Togatorop; Arnah Ritonga; Lestari Novianti Sinurat; Monica Triyuni Sinaga; Widya Kartini Pangaribuan
JURNAL RISET RUMPUN MATEMATIKA DAN ILMU PENGETAHUAN ALAM Vol. 4 No. 2 (2025): Agustus: Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam
Publisher : Pusat riset dan Inovasi Nasional

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jurrimipa.v4i2.6970

Abstract

This study aims to examine the use of amortization schedules and the repayment fund approach in Public Housing Credit. By applying quantitative descriptive methods and a case study approach, this study simulates a mortgage with a credit ceiling of Rp163,800,000, a tenor of 15 years, and an interest rate of 5.65% for the first to fifth year and 13% for the sixth to fifteenth year. The results of the simulation show that without any additional strategies, the total interest to be paid reaches Rp138,887,134.14, which is almost equivalent to the total principal loan. However, by using a sinking fund strategy through regular savings of Rp1,000,000 every month (with an interest rate of 0.25% per month) for 5 years, the collected funds are Rp64,444,800 which significantly reduces the remaining principal loan. As a result, the total interest is reduced to Rp87,864,324.85, which means there is a savings of Rp51. 022. 809.29. Furthermore, this strategy has the potential to shorten repayment time. In conclusion, sinking funds are an effective approach to reducing interest burden and accelerating the repayment of Public Housing Loans.
Co-Authors Arnah Ritonga Herdita Br Ginting Klara Manila Laoli Lestari Novianti Sinurat Monica Tri Yuni Sinaga Monica Triyuni Sinaga Rina Intan Amelia Widya kartini pangaribuan