ABSTRACT
This paper introduces a novel encryption technique that leverages the inherent mathematical properties of Pascal’s Triangle to fortify the security of data transmission and storage. Pascal’s Triangle, renowned for its combinatorial significance, is creatively employed to generate dynamic encryption keys, providing a unique and adaptive layer of security for the proposed technique.
The encryption process begins with the creation of a key matrix derived from Pascal’s Triangle, where each element of the matrix is computed based on the binomial coefficients. The plaintext undergoes a series of operations involving matrix multiplication and modular arithmetic, introducing complexity and non-linearity to the encryption. The resulting ciphertext exhibits a dynamic pattern influenced by the specific properties of Pascal’s Triangle, enhancing the resistance against cryptographic attacks.
The theoretical foundations of Pascal’s Triangle and its application in cryptography are elucidated, highlighting the unique properties that contribute to the robustness of the proposed encryption technique. Security analyses, encompassing resistance to common cryptographic attacks, are conducted to evaluate the effectiveness of the method. Additionally, computational efficiency and performance metrics are assessed to gauge the practical viability of the proposed approach.
