Cryptographic Framework Based on the Integral Gupta Transform

Cryptography is crucial for ensuring the confidentiality and integrity of data in digital communications. Most of the traditional encryption methods are based on algebraic and number-theoretic constructions. However, integral transforms have recently been considered as alternative mathematical tools for organizing the processes of encryption and decryption. In this paper, the authors introduce a cryptographic protocol employing the Integral Gupta Transform (IGT). The protocol first converts the plaintext into a transform domain where the encryption processes use a key dependent integral kernels. The authors provide examples of both encryption and decryption using IGT combined with modular arithmetic. They also evaluate the security features and make a comparative analysis of their method with other cryptographic schemes that use transforms. The technique not only deepens the layer of obfuscation but also utilizes the mathematical sophistication of invertible integral transforms to fend off attacks from the most common cryptanalysis methods.