A Quantum-Secure Cryptographic Algorithm Integrating Fractals and Prime Numbers

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 innov...

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Main Authors: Gerardo Iovane, Elmo Benedetto, Antonio Di Lauro
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/14/22/10138
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author Gerardo Iovane
Elmo Benedetto
Antonio Di Lauro
author_facet Gerardo Iovane
Elmo Benedetto
Antonio Di Lauro
author_sort Gerardo Iovane
collection DOAJ
description 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 <i>p</i>-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.
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spelling doaj-art-b9c4f45cfe3a4009ac2b3a97c4d732cd2024-11-26T17:47:37ZengMDPI AGApplied Sciences2076-34172024-11-0114221013810.3390/app142210138A Quantum-Secure Cryptographic Algorithm Integrating Fractals and Prime NumbersGerardo Iovane0Elmo Benedetto1Antonio Di Lauro2Department of Computer Science, University of Salerno, Via Giovanni Paolo II, 132, 84084 Fisciano, ItalyDepartment of Computer Science, University of Salerno, Via Giovanni Paolo II, 132, 84084 Fisciano, ItalyDepartment of Computer Science, University of Salerno, Via Giovanni Paolo II, 132, 84084 Fisciano, ItalyThe 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 <i>p</i>-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.https://www.mdpi.com/2076-3417/14/22/10138fractal cryptographyquantum cryptographydata encryptionprime numbers
spellingShingle Gerardo Iovane
Elmo Benedetto
Antonio Di Lauro
A Quantum-Secure Cryptographic Algorithm Integrating Fractals and Prime Numbers
Applied Sciences
fractal cryptography
quantum cryptography
data encryption
prime numbers
title A Quantum-Secure Cryptographic Algorithm Integrating Fractals and Prime Numbers
title_full A Quantum-Secure Cryptographic Algorithm Integrating Fractals and Prime Numbers
title_fullStr A Quantum-Secure Cryptographic Algorithm Integrating Fractals and Prime Numbers
title_full_unstemmed A Quantum-Secure Cryptographic Algorithm Integrating Fractals and Prime Numbers
title_short A Quantum-Secure Cryptographic Algorithm Integrating Fractals and Prime Numbers
title_sort quantum secure cryptographic algorithm integrating fractals and prime numbers
topic fractal cryptography
quantum cryptography
data encryption
prime numbers
url https://www.mdpi.com/2076-3417/14/22/10138
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