The rise of quantum computers threatens classical cryptosystems through Shor’s and Grover’s algorithms. Post-quantum cryptography (PQC) addresses this challenge, with lattice-based schemes emerging as leading candidates. This paper presents an overview in this emerging field with main focus on Kyber method for key exchange and Dilithium method for digital signatures. It has been shown why these methods are good candidates for the future implementation in real-world protocols. However, the paper also presents concerns regarding different types of applications of such a methodology, especially because of the attacks in constrained environments.
The rise of quantum computers threatens classical cryptosystems through Shor’s and Grover’s algorithms. Post-quantum cryptography (PQC) addresses this challenge, with lattice-based schemes emerging as leading candidates. This paper presents an overview in this emerging field with main focus on Kyber method for key exchange and Dilithium method for digital signatures. It has been shown why these methods are good candidates for the future implementation in real-world protocols. However, the paper also presents concerns regarding different types of applications of such a methodology, especially because of the attacks in constrained environments.
The advent of large-scale quantum computers poses a profound and imminent threat to the security foundations of modern cryptography. Widely deployed public-key cryptosystems, such as RSA and Elliptic Curve Cryptography (ECC), rely on problems like integer factorization and discrete logarithms, which Shor's algorithm can efficiently solve. This necessitates a proactive transition to post-quantum cryptography (PQC). Among leading candidates, lattice-based cryptography stands out due to its robust security guarantees, based on hard problems lacking known efficient quantum solutions, and structural properties facilitating efficient implementation. This paper explores the fundamental principles of lattice-based cryptography, detailing underlying mathematical hard problems such as the Shortest Vector Problem (SVP) and Learning With Errors (LWE). We review the evolution of lattice-based schemes, from early constructions to contemporary candidates like Kyber and Dilithium, emphasizing their suitability for Key Encapsulation Mechanisms (KEMs) and Digital Signature Schemes (DSS). Furthermore, we analyze their performance characteristics, security assumptions, and resilience against classical and quantum attacks, providing a critical comparison with other PQC families. This comprehensive overview, structured through a systematic critical analysis framework, highlights the ascendancy of lattice-based cryptography as a cornerstone for future quantum-resistant security infrastructure, offering theoretical underpinnings, practical implications, and actionable future research directions for a post-quantum world.
Post-quantum cryptography (PQC) is a critical area of research aimed at addressing the threat quantum computing poses to traditional cryptographic systems. It focuses on evaluating the efficiency, security, and practical performance of PQC algorithms through experimental analysis. This research supports the development of optimized cryptographic solutions, contributes to standardization efforts, and ensures secure and efficient implementations for a wide range of applications. Despite progress in PQC, gaps still exist in practical performance evaluations, particularly in resource-constrained environments. There is a lack of standardized comparisons, hindering the selection of suitable algorithms for specific use cases like IoT and cloud systems. Furthermore, research on scalability, integration challenges, and the trade-offs between security and efficiency remains insufficient. The methodology involves creating a comprehensive framework to evaluate various PQC algorithms, including lattice-based (e.g., Kyber, Dilithium), code-based (e.g., McEliece), and hash-based (e.g., SPHINCS+). These algorithms will be tested in diverse environments, from resource-constrained devices to high-performance infrastructures such as cloud platforms. Key metrics such as encryption/decryption speed, key sizes, memory usage, and computational efficiency will be measured, focusing on the trade-offs between security, efficiency, and scalability. The results will be benchmarked against standardized metrics to provide a clear understanding of each algorithm's suitability for real-world deployment. The findings indicate that lattice-based algorithms like Kyber offer a strong balance between security and efficiency but require considerable computational resources. Code-based algorithms like McEliece are highly secure but come with large key sizes and slower speeds. Hash-based schemes like SPHINCS+ provide strong security but are computationally expensive, making them less suitable for resource-limited systems. The highlights the importance of optimizing PQC algorithms according to specific application requirements, where the choice of algorithm must balance security, efficiency, and resource constraints, with continuous optimization needed to address evolving real-world demands.
The traditional system protocols, like Rivest-Shamir-Adleman (RSA) and Elliptic Curve Cryptography (ECC), rely on many computer issues that are easily solved by quantum computing algorithms, such as Shor's. This creates a big threat for these algorithms. Such challenges give birth to lattice-based cryptography which has emerged as a post-quantum alternative. The well-known lattice-based cryptography emerged out by understanding the difficulties of different lattices that include LWE and SVP. In the current scenario, the fundamental ideas concerning lattice structures arranged by lattice structure cryptography, and their applications in data encryption, digital authentication, and key exchange techniques are reviewed. In addition to their mathematical fundamentals, this paper demonstrates major research gaps-particularly the absence of beneficial overviews and comparative research investigations. Analyzing the benefits, limitations, and potential applications of their NIST-selected strategies, Kyber and Dilithium could possibly be used in actual applications like cloud computing and healthcare, allowing us to tackle this problem. Additionally encompassed are equivalent tables including specific sectors, instances of use, and method efficiency. That emphasizes both fundamental concepts and realistic implementation, this work tries to connect theoretical investigations with practical postquantum encryption advancement.
As quantum computing technology evolves, it poses greater risks to current cryptography schemes such as RSA and Elliptic Curve Cryptography (ECC), widely used to secure digital communications These classical algorithms are based on mathematical problems that quantum algorithms such as Shore-Grover deal with. Both, can resolve much faster, making them vulnerable to quantum attack This has given rise to post-quantum cryptography (PQC), which focuses on developing quantum-resistant algorithms to protect data in the future of quantum computers classical cryptography Can Break This paper aims to provide a comprehensive insight into quantum-resistant cryptographic algorithms, including lattice-based, hash-based, code-based, and multivariable polynomial methods. It examines the efficiency, benefits, and challenges associated with implementing these algorithms in real-world applications. By comparing key parameters such as key size, encryption/decryption speed, and signature size, this study examines the relative strengths and limitations of post-quantum algorithms to their classical counterparts The results show that lattice-based algorithms , such as NTRU and Kyber, offer promising solutions with relative efficiency and manageable key sizes, making them potential candidates for quantum-resistant cryptography but other approaches , such as SPHINCS+ (hash-based) and McEliece (code-based), large -Face challenges of key size and slow encryption speed, which may limit their usefulness in some applications Despite these challenges, quantum post-cryptography is necessary to secure the future of digital communications.
The emergence of quantum computing presents a significant challenge to traditional cryptographic methods, particularly in network security. Post-quantum cryptography (PQC) has emerged as a potential solution to secure digital communications against quantum-based threats. This article provides a comprehensive overview of PQC algorithms and their role in strengthening network security. We discuss the limitations of current cryptographic systems in the face of quantum algorithms, such as Shor’s and Grover’s algorithms, which threaten the security of widely-used protocols like RSA and ECC. We explore the major families of PQC algorithms, including lattice-based, code-based, and hash-based approaches. This article also evaluates the practical challenges of implementing PQC solutions and the future direction of cryptography in the post-quantum era.
Quantum computing poses a significant threat to existing cryptosystems, as Shor's and Grover's algorithms efficiently solve the underlying mathematical problems of classical cryptographic algorithms. Post-Quantum Cryptography (PQC) provides a proactive response to this emerging threat, enabling resilience against quantum attacks. Researchers have extensively explored various mathematical structures believed to be resilient against quantum attacks across several PQC families. The NIST PQC standardisation project demonstrates the global need to integrate PQC into existing digital systems, even before the quantum era. Practical use cases of PQC schemes in various areas, along with the associated challenges, have been thoroughly studied to understand future research directions that must be followed for the better optimisation of real-world PQC implementation in a quantum-safe future.