A Quantum-Secure Cryptographic Algorithm Integrating Fractals and Prime Numbers

• Published in: Applied sciences 2024-11, Vol.14 (22), p.10138
• Main Authors: Iovane, Gerardo, Benedetto, Elmo, Di Lauro, Antonio
• Format: Article
• Language: English
• Subjects: Algorithms; Artificial intelligence; Cryptography; data encryption; fractal cryptography; Fractals; Mandelbrot, Benoit B; Prime numbers; Quantum computing; quantum cryptography; Security management; Statistics
• ISSN: 2076-3417; 2076-3417
• DOI: 10.3390/app142210138

The present work introduces a new scheme of data cryptography in the context of emerging trends due to the challenge of defending critical network infrastructure against new exploit systems based on artificial intelligence or defending against quantum threats. In this paper, we will present an innovative cryptographic system composed of keys coming from fractals and prime numbers that are additionally manipulated through mathematical operations using matrices and quantum security. This technique ensures a high level of security, as demonstrated by the NIST p-values calculated on the key. This paper works upon the foundation on the previous work F&NIF (Fractal & Numerical Information Fusion), as we will discuss in the paper. In this work, we take this procedure and expand it with these new added features, using new fractal schemes and, in particular, implementing a novel quantum security procedure. This algorithm creates a security key applicable to cryptography that is resistant to quantum attacks since this procedure is quantum-crypto-agile.