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Journal : Indonesian Journal of Applied Mathematics and Statistics

Application of Number Theory in the Guess Year of Birth Game Hermawan, Aldi; Kurniadi, Edi; Sylviani, Sisilia
Indonesian Journal of Applied Mathematics and Statistics Vol. 2 No. 1 (2025): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.71385/idjams.v2i1.15

Abstract

Number theory is a field of mathematics in which numbers are discussed. There are many developments in this theory. Among them are divisibility, modulo, inverse modulo, congruence and Chinese Remainder Theorem. This research focuses on divisibility and the Chinese Remainder Theorem. What is explained in more detail is a study of several divisibility properties and the application of the Chinese Remainder Theorem to the birth year guessing game. This game is quite popular among middle and high school students. Then, it also explains the technicalities and formulas used in the game to be able to guess the number or year of birth in question. The main finding of these work are prove several divisibility properties and the application of the Chinese Remainder Theorem in the guess year of birth game.
Implementation of Combination RSA, Vigenere Cipher, and Permutation Cipher in Digital Communication Tielung, M. Fariel Fahriza; Kurniadi, Edi; Sylviani, Sisilia
Indonesian Journal of Applied Mathematics and Statistics Vol. 2 No. 1 (2025): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.71385/idjams.v2i1.18

Abstract

In the digital era, data security is essential for preventing unwanted access to information. To improve message security, this study intends to apply a mixture of three cryptographic algorithms: RSA, Vigenere cipher, and permutation cipher. The Vigenere and permutation ciphers are used to the message content to add an extra degree of security, while the RSA technique is utilized for asymmetric key encryption. In this system, the Vigenere cipher and permutation cipher, is used to encrypt the message, followed by RSA is used to encrypt the Vigenere process key. According to test results, combining these three techniques strengthens the cryptographic defenses against frequency analysis and brute force assaults by increasing their complexity. Although the combination lengthens the processing time, the resulting security is higher than the application of a single method. This system is expected to be applied to applications that require the protection of sensitive data with a high level of security.