Public-key cryptography is indispensable in maintaining the security and integrity of digital data. The most widely used current public-key cryptography is based on the integer factorization problem and the elliptic-curve discrete logarithm problem, which are vulnerable against an adversary with large-scale quantum computers. Fortunately, post-quantum cryptography (PQC) can provide security against both classical and quantum adversaries. Due to rapid advancement in quantum computer development, the transition from classical public-key cryptography to PQC has become imperative. A watershed moment in this transition is the recent publication of a set of PQC schemes by the National Institute of Standards and Technology (NIST). Although it is a significant step, the research and development in PQC is quite immature compared to several decades-old classical public-key cryptographic schemes. Therefore, several open problems, such as physical attack analysis and their countermeasures, application-specific modifications, lightweight implementations for resource-constrained devices, integration into different secure protocols, etc., need to be addressed before the widespread deployment of PQC in real-world applications. This dissertation aims to address some of these problems in order to bridge the gap between the theory and practice of PQC.
Public-key cryptography is indispensable in maintaining the security and integrity of digital data. The most widely used current public-key cryptography is based on the integer factorization problem and the elliptic-curve discrete logarithm problem, which are vulnerable against an adversary with large-scale quantum computers. Fortunately, post-quantum cryptography (PQC) can provide security against both classical and quantum adversaries. Due to rapid advancement in quantum computer development, the transition from classical public-key cryptography to PQC has become imperative. A watershed moment in this transition is the recent publication of a set of PQC schemes by the National Institute of Standards and Technology (NIST). Although it is a significant step, the research and development in PQC is quite immature compared to several decades-old classical public-key cryptographic schemes. Therefore, several open problems, such as physical attack analysis and their countermeasures, application-specific modifications, lightweight implementations for resource-constrained devices, integration into different secure protocols, etc., need to be addressed before the widespread deployment of PQC in real-world applications. This dissertation aims to address some of these problems in order to bridge the gap between the theory and practice of PQC.
The rapid growth of quantum computing poses a critical threat to classical cryptographic systems. That is due in large part to the fact that they represent efficient solutions for some of the most challenging mathematical problems such as integer factoring or finding discrete logarithms. Schemes currently in wide use including RSA, Diffie–Hellman, and elliptic curve cryptography are particularly susceptible to being attacked by quantum computers, using algorithms like Shor's Algorithm and Grover's Algorithm. The advent of post-quantum cryptography (PQC) provides a promising potential answer to providing longterm security from adversaries using quantum computing capabilities. This paper presents a comprehensive state-of-the-art review of various PQC techniques currently being researched, including lattice-based methods, code-based methods, multivariate methods, hash-based methods, and isogeny-based methods. key challenges that will need to be addressed include computational overhead, large key sizes and implementation complexity. Furthermore the study reviews the current standardization efforts by the National Institute of Standards and Technology related to PQC and discusses some of the very specific practical considerations that need to be considered before widely deploying these techniques. The paper concludes by a complete list of existing research challenges and proposed future work that will assist in the development of efficient and scalable systems that will resist attacks from quantum computers.
Quantum computing poses a significant threat to conventional cryptographic systems that rely on the difficulty of mathematical problems such as integer factorization and discrete logarithms. These systems underpin much of the current security infrastructure, including public key cryptography and digital signatures. As quantum computers approach practical viability, there is an urgent need to transition to quantum-resistant cryptographic solutions that can secure digital communications against adversaries equipped with quantum capabilities. This paper explores the landscape of quantum-resistant cryptography, focusing on those algorithms that have emerged either as standards or as leading algorithm. Furthermore, the paper examines the progress of standardization efforts, such as the National Institute of Standards and Technology (NIST) Post-Quantum Cryptography (PQC) initiative, and the implications of deploying these algorithms in existing systems. By addressing the practical considerations for adoption, this study aims to provide a comprehensive overview of the current state and future directions of quantum-resistant cryptography, ensuring robust security in a post-quantum world.
The threats are existential to the traditional cryptosystems of public keys, including RSA, Diffie-Hellman, and elliptic curve cryptography (ECC), due to the rapid progress in quantum computing. Such algorithms as the Shor and Grover algorithms prove that as soon as large scale quantum computers are achieved, these classical cryptographic protocols will not provide any privacy and integrity to online communication. This has created an emergency to find post-quantum cryptography (PQC), or quantum-safe cryptography, which will resist attacks by both classical and quantum attackers. The paper is a review of the latest research and development in post-quantum cryptographic algorithms and their implementation in current security systems. We organize quantum-safe methods into significant organizations such as lattice-based, hash-based, multivariate polynomial-based and code-based encrypted communications. Each type has been evaluated critically based on computational efficiency, key sizes, speed of encryption/decryption and security proofs. The survey also examines the current standardization activities happening in the world and especially the U.S. National Institute of Standards and Technology (NIST) PQC competition, which lists candidate algorithms that have advanced to standard adoption. Besides this, the paper addresses hybrid cryptographic designs that use both classical and post-quantum bases in ensuring a seamless migration in the transition phase. Internet security protocols like TLS, VPNs and blockchain consensus as applications of PQC are examined in detail. Lastly, we pinpoint open research issues, which include creating lightweight PQC to support resource-constrained IoT devices, balancing performance and strong security assurances, and interoperability between the new PQC algorithms and existing infrastructures. Through detailed survey we inform the future of researchers, practitioners, and policymakers on the preparation of the post-quantum era of secure digital communications.
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.
Abstract The imminent threat posed by quantum computers to modern public key cryptography has spurred the development of post-quantum cryptography (PQC) algorithms. Over the last two decades, the field of PQC research has thrived, yielding a diverse range of algorithms resilient against quantum attacks. These PQC algorithms are undergoing selection and standardization by prominent bodies ; such as National Institute of Standards and Technology (NIST). However, the challenge remains substantial, given the monumental task of migrating numerous new devices to PQC algorithms. This complex, multi-decade transition from classical cryptography to PQC, necessitates careful survey of research articles to consider the current post quantum cryptographic schemes, and key protective strategies against quantum threats, implementation feasibility, compliance and challenges of implementations. This will provide insight and future directions for new researchers and organizations. .
Information security is a fundamental and urgent issue in the digital transformation era. Cryptographic techniques and digital signatures have been applied to protect and authenticate relevant information. However, with the advent of quantum computers and quantum algorithms, classical cryptographic techniques have been in danger of collapsing because quantum computers can solve complex problems in polynomial time. Stemming from that risk, researchers worldwide have stepped up research on post-quantum algorithms to resist attack by quantum computers. In this review paper, we survey studies in recent years on post-quantum cryptography (PQC) and provide statistics on the number and content of publications, including a literature overview, detailed explanations of the most common methods so far, current implementation status, implementation comparisons, and discussion on future work. These studies focused on essential public cryptography techniques and digital signature schemes, and the US National Institute of Standards and Technology (NIST) launched a competition to select the best candidate for the expected standard. Recent studies have practically implemented the public key encryption/key encapsulation mechanism (PKE/KEM) and digital signature schemes on different hardware platforms and applied various optimization measures based on other criteria. Along with the increasing number of scientific publications, the recent trend of PQC research is increasingly evident and is the general trend in the cryptography industry. The movement opens up a promising avenue for researchers in public key cryptography and digital signatures, especially on algorithms selected by NIST.