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CRC Press eBooks

Post-quantum image security

Ashish Arya, Arti Ranjan, Amrit Kumar Agrawal

Published Mar 11, 2024• 1 citation
Publisher

Abstract

The advent of potential scalable and reliable quantum computing poses a serious threat to traditional integer factorization-based security protocols. An entirely new field of post-quantum cryptography has been developed to account for challenges of quantum computing that includes new approaches and algorithms to avoid susceptibility from quantum computers of sufficient capacity. As a sufficiently powerful quantum computer can put up a serious challenge to conventional encryption methods based on the difficulty of integer factorization or discrete logarithms, post-quantum cryptography involves several novel approaches such as Lattice-based cryptography, Multivariate cryptography, Hash-based cryptography, Code-based cryptography, Supersingular elliptic curve isogeny cryptography, and Symmetric key quantum resistance. In this chapter we present a wide survey of post-quantum methods as applied to image security. As the challenges offered by the post-quantum cryptography are an opportunity for the code breakers, the survey presented here includes an appraisal of the challenges and the opportunities offered by the emerging field of post-quantum cryptography from the perspective of image security. Current trends and future directions will also be referenced.

DOI
10.1201/9781003468974-3

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The advent of potential scalable and reliable quantum computing poses a serious threat to traditional integer factorization-based security protocols. An entirely new field of post-quantum cryptography has been developed to account for challenges of quantum computing that includes new approaches and algorithms to avoid susceptibility from quantum computers of sufficient capacity. As a sufficiently powerful quantum computer can put up a serious challenge to conventional encryption methods based on the difficulty of integer factorization or discrete logarithms, post-quantum cryptography involves several novel approaches such as Lattice-based cryptography, Multivariate cryptography, Hash-based cryptography, Code-based cryptography, Supersingular elliptic curve isogeny cryptography, and Symmetric key quantum resistance. In this chapter we present a wide survey of post-quantum methods as applied to image security. As the challenges offered by the post-quantum cryptography are an opportunity for the code breakers, the survey presented here includes an appraisal of the challenges and the opportunities offered by the emerging field of post-quantum cryptography from the perspective of image security. Current trends and future directions will also be referenced.
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With the rapid advancement regarding quantum computing, traditional cryptographic systems face an existential threat because of their reliance concerning mathematical challenges which may be addressed effectively solved using quantum algorithms like the one developed by Shor. This imminent risk has driven extensive research into quantum-resistant cryptography (PQC), that seeks to develop encryption methods resilient against attacks powered by quantum computing. This study offers a thorough literature survey on high-level security techniques in quantum security for PQC, analysing past and current research efforts in this domain. We first examine the vulnerabilities of classical cryptographic protocols, including public-key encryption methods such as RSA (developed by Rivest, Shamir, and Adleman) and ECC (which uses elliptic curve mathematics), and traditional cryptographic hashing methods, against quantum adversaries. The study then explores the foundational approaches to quantum-secure cryptography, including lattice-based, hash-based, multivariate polynomial, code-based, and isogeny-based encryption methods that possess emerged as promising candidates for standardization. The survey highlights key challenges in the real-world application of PQC, including performance trade-offs, key size overhead, and deployment complexities. We conclude by identifying future research directions during the creation of scalable, efficient, and provably secure cryptographic methods designed to withstand quantum attacks techniques. As the shift toward the quantum-resilient era approaches, this survey aims to provide a clear and structured comprehension of the evolving the domain of quantum security for PQC.
The rise of quantum computing poses a significant threat to the security of such classical cryptographic systems, as they inherently depend on the computational difficulty of problems such as integer factorization and discrete logarithm. Examining Theoretical Foundations of Post-Quantum Cryptography: Challenges and Opportunities for Building Secure Cryptographic Protocols in the PostQuantum World This paper aims to explore how quantum computers will affect the current state of cryptography, contributing towards the ongoing discussion to upgrade our cryptographic systems' foundations in the face of potential quantum attacks and assessing the efforts for developing quantum-resilient algorithms. Quantum computers promise unprecedented computation power by harnessing the strange properties of quantum mechanics. While quantum algorithms still pose a significant threat to conventional cryptography, the emergence of post-quantum algorithms offer hope to secure our data in the quantum era
The advance of quantum computing poses significant risks to traditional cryptographic systems, including RSA and ECC, due to algorithms such as Shor's, prompting an urgent need for robust post-quantum cryptography (PQC) solutions. This paper presents a systematic review of PQC algorithms, encompassing lattice-based, code-based, multivariate polynomial, hash-based, and supersingular isogeny-based cryptography. By evaluating recent publications and NIST standardization efforts, we assess these approaches in terms of quantum resistance, computational efficiency, scalability, and implementation challenges. Lattice-based schemes, notably CRYSTALS-Kyber, excel in quantum-secure encryption and performance, whereas codebased systems like McEliece are hindered by large key sizes. Hash-based signatures, such as SPHINCS+, and isogeny-based protocols, including SIDH, provide promising alternatives but require further optimization to reduce computational overhead. Our analysis highlights the potential of hybrid PQC methods and lightweight hardware implementations for securing emerging domains like IoT, blockchain, and financial systems. The review serves as a foundational resource for researchers and practitioners, advocating the adoption of quantum-resistant cryptography to preserve data confidentiality, integrity, and authenticity in the quantum era.
The increasing advancement in quantum computing threatens the security of traditional cryptographic systems that underpin much of the modern world’s data protection. These systems rely heavily on the computational difficulty of problems like integer factorization (RSA) and elliptic curve discrete logarithms (ECC), which quantum computers could solve in polynomial time. As a result, there is an urgent need for cryptographic systems that remain secure even in the presence of quantum capabilities. Post-Quantum Cryptography (PQC) is the emerging field that aims to develop cryptographic protocols resistant to quantum-based attacks. This paper discusses the need for PQC, explores various candidate algorithms, reviews standardization efforts, and looks at the current challenges and future directions in the field.
This article analyzes the threats to the security of modern cryptographic systems posed by the development of quantum computers, as well as the emergence of the concept of post-quantum cryptography as a solution to these problems. The study demonstrates that classical public-key cryptosystems, particularly RSA, DSA, and elliptic curve-based algorithms, can be broken using quantum algorithms. At the same time, new cryptographic systems based on hash functions, codes, lattices, and multivariate quadratic equations are considered a promising direction. The main challenges related to the efficiency, reliability, and applicability of post-quantum cryptography are also highlighted. As a result, the necessity of developing new cryptographic standards to ensure future information security is demonstrated.