2 publications

• Published Subscription Original Research 10 Jan 2025

  Encoding-Decoding Algorithm Using the Catalan Transform of Weighted Tribonacci Sequence

  By Girma Wondale Gelagay, Zerfie Teshome Yigzie, Bahar Kuloglu

  Abstract: In order to improve information security, this paper presents a unique algorithm for encoding and decoding messages utilizing the Catalan Transform of a Weighted Tribonacci Sequence. Utilizing the Catalan and Tribonacci sequences, the methodology combines the concepts of number theory and combinatorics to create an effective encryption and decryption process. First, an array is created by mapping each character in the plaintext message to its corresponding ASCII value. The ASCII-weighted …

  Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 3, 2024 · pp. 12–16 Read article →

• Published Subscription Original Research 6 Jan 2025

  Algorithmic Encryption of Natural Numbers Based on the Collatz Conjecture

  By Bahar Kuloglu

  Abstract: This paper creates an encryption technique based on the well-known unresolved mathematical problem known as the Collatz conjecture. This conjecture states that every natural number larger than one eventually lowers to one by a set of precise procedures called the Collatz sequence. The study’s methodology associates these sequences’ terms with the Turkish alphabet’s letters. The Collatz transformation is applied to the integer that corresponds to each letter. The words created …

  Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 3, 2024 · pp. 6–11 Read article →