Metode Pemecahan Sistem Kongruensi Linear
DOI:
https://doi.org/10.22437/msa.v5i1.38085Keywords:
Linear Congruence System, Chinese Remainder Theorem, Intelligent Inspection Algorithm Type-I and IIAbstract
A linear congruence system is a system that has more than one linear congruence. The solution of linear congruence systems has an important role in the concept of number theory. Various ways of settlement can be applied in different cases. This study discusses the problem solving of linear congruence systems with the Chinese Remainder Theorem, Intelligent Inspection Algorithm type-I and II and its application.
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Rahma, A. N., Rahmawati, R., & Wahyuni, W. 2020. Metode Eliminasi Gauss untuk Penyelesaian Sistem Kongruensi Linier. Jurnal Sains Matematika dan Statistika, 6(1), 30. https://doi.org/10.24014/jsms.v6i1.9250.
Cuarto, P. 2017. Algebraic Method for Solving System of Linear Congruences. Recoletos Multidisciplinary Research Journal, 3(1), 93–99. https://doi.org/10.32871/rmrj1503.01.07.
Bibak, K., Kapron, B. M., Srinivasan, V., Tauraso, R., & Tóth, L. 2017. Restricted linear congruences. Journal of Number Theory, 171, 128–144. https://doi.org/10.1016/j.jnt.2016.07.018.
Namboothiri, K. V. 2018. On the number of solutions of a restricted linear congruence. Journal of Number Theory, 188, 324–334. https://doi.org/10.1016/j.jnt.2018.01.013.
Wardani, R. D. 2019. The Application of Number Theory to Determine Congruence in Traffic Lights. BAREKENG: Jurnal Ilmu Matematika dan Terapan, 13(1), 047–052. https://doi.org/10.30598/barekengvol13iss1pp047-052ar697.
Orhani, S., & Çeko, B. 2023. Some applications of linear congruence from number theory, 3(2). https://doi.org/10.5281/zenodo.8141702.
Ramli, Fitriana, L., Hidayat, D., & Priyowidodo, S. 2019. Application of linear congruent method in try out examination based on web application. Journal of Physics: Conference Series, 1361(1), 012073. https://doi.org/10.1088/1742-6596/1361/1/012073.
Tadesse, S., & Molla, M. 2019. An Algorithm to Solve A System of Linear Congruences with Applications. Mathematical Theory and Modeling. https://doi.org/10.7176/mtm/9-10-05.
Shi, Z., Fang, Y., & Song, H. 2024. Intelligent Inspection Method and System of Plastic Gear Surface Defects Based on Adaptive Sample Weighting Deep Learning Model. Sensors, 24(14), 4660. https://doi.org/10.3390/s24144660.
Elliott, J., & Schost, É. 2024. Some Applications of Chinese Remainder Theorem Codes with Error-Correction under Creative Commons License Attribution 4.0 International (CC BY 4.0). Retrieved from http://ceur-ws.org
Alhassan, E. A., Tian, K., Abban, O. J., Ohiami, I. E., Michael Adjabui, M., Armah, G., & Agyemang, S. 2021. On Some Algebraic Properties of the Chinese Remainder Theorem with Applications to Real Life. Journal of Applied Mathematics and Computation, 5(3), 219–224. https://doi.org/10.26855/jamc.2021.09.008.
Dairi, M. S., Setiani Asih, M., & author, corespondent. 2022. Implementasi Algoritma Kriptografi RSA Dalam Aplikasi Sistem Informasi Perpustakaaan Implementation Of RSA Cryptographic Algorithms in Library Information System Applications. Januari (Vol. 2023). Retrieved from https://jurnal.unity-academy.sch.id/index.php/jirsi/index
Muchlis, B. S., Budiman, M. A., & Rachmawati, D. 2017. Teknik Pemecahan Kunci Algoritma Rivest Shamir Adleman (RSA) dengan Metode Kraitchik. Jurnal & Penelitian Teknik Informatika, 2(2).
Beno, I. S. 2023. Analisis Teorema Sisa Cina dalan Dekripsi Data Text Terenkripsi RSA Abstrak Sejarah Artikel (Vol. 1). Retrieved from https://ejurnal.fmipa.uncen.ac.id/index.php/KJTIP40
Obaid, T. S. 2020. Study A Public Key in RSA Algorithm. European Journal of Engineering and Technology Research, 5(4), 395–398. https://doi.org/10.24018/ejeng.2020.5.4.1843.
Harahap, A. A., & Hasibuan, N. A. 2020. Implementation of LCM (Linear Congruent Method) Method in Region Song Game. The IJICS (International Journal of Informatics and Computer Science), 4(2), 57. https://doi.org/10.30865/ijics.v4i2.2118.
Ilmu Matematika Dan Terapan, J., & Desember, |. 2017. Penerapan Teori Kongruensi Dalam Permainan Nim (Vol. 11).
Purnamasari, D. R. 2016. Implementasi Linear Congruent Method (LCM) Pada Game Hangaroo Berbasis Android. Jurnal Riset Komputer (JURIKOM). Retrieved from http://hangaroo.id.downloadastro.com,
Amrullah, & Al-khowarizmi. 2022. Implementation Of Linear Congruent Method in Online Exam Applications For SMK Students. Retrieved from http://infor.seaninstitute.org/index.php/infokum/index
Jasri, M., & Toyib, J. 2023. Android-Based Muhammadiyah Organization Introduction Application Using the Linear Congruent Generator Method. Jurnal Media Computer Science (Vol. 2). Article History.
Burton, D. M. . 2011. Elementary number theory. McGraw-Hill.
Kurniadi, E., Carnia, E., & Gusriani, N. 2021. Pengantar Teori Grup Hingga. Tahta Media Group.
