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Journal of Emerging Investigators

A meta-analysis on NIST post-quantum cryptographic primitive finalists

Steven Benny, Ishaan Desai, Leah Uriarte, Isaac Tsai, Larry McMahan

Published Jan 1, 2024• 3 citations
Publisher

Abstract

The advent of quantum computing will pose a substantial threat to the security of classical cryptographic methods, which could become vulnerable to quantum-based attacks. In response to this impending challenge, the field of post-quantum cryptography has emerged, aiming to develop algorithms that can withstand the computational power of quantum computers. This study addressed the pressing concern of classical cryptographic methods becoming vulnerable to quantum-based attacks due to the rise of quantum computing. The emergence of post-quantum cryptography has led to the development of new resistant algorithms. Our research focused on four quantum-resistant algorithms endorsed by America’s National Institute of Standards and Technology (NIST) in 2022: CRYSTALS-Kyber, CRYSTALS-Dilithium, FALCON, and SPHINCS+. This study evaluated the security, performance, and comparative attributes of the four algorithms, considering factors such as key size, encryption/decryption speed, and complexity. Comparative analyses against each other and existing quantum-resistant algorithms provided insights into the strengths and weaknesses of each program. This research explored potential applications and future directions in the realm of quantum-resistant cryptography. Our findings concluded that the NIST algorithms were substantially more effective and efficient compared to classical cryptographic algorithms. Ultimately, this work underscored the need to adapt cryptographic techniques in the face of advancing quantum computing capabilities, offering valuable insights for researchers and practitioners in the field. Implementing NIST-endorsed quantum-resistant algorithms substantially reduced the vulnerability of cryptographic systems to quantum-based attacks compared to classical cryptographic methods.

DOI
10.59720/23-233

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The advent of quantum computing will pose a substantial threat to the security of classical cryptographic methods, which could become vulnerable to quantum-based attacks. In response to this impending challenge, the field of post-quantum cryptography has emerged, aiming to develop algorithms that can withstand the computational power of quantum computers. This study addressed the pressing concern of classical cryptographic methods becoming vulnerable to quantum-based attacks due to the rise of quantum computing. The emergence of post-quantum cryptography has led to the development of new resistant algorithms. Our research focused on four quantum-resistant algorithms endorsed by America’s National Institute of Standards and Technology (NIST) in 2022: CRYSTALS-Kyber, CRYSTALS-Dilithium, FALCON, and SPHINCS+. This study evaluated the security, performance, and comparative attributes of the four algorithms, considering factors such as key size, encryption/decryption speed, and complexity. Comparative analyses against each other and existing quantum-resistant algorithms provided insights into the strengths and weaknesses of each program. This research explored potential applications and future directions in the realm of quantum-resistant cryptography. Our findings concluded that the NIST algorithms were substantially more effective and efficient compared to classical cryptographic algorithms. Ultimately, this work underscored the need to adapt cryptographic techniques in the face of advancing quantum computing capabilities, offering valuable insights for researchers and practitioners in the field. Implementing NIST-endorsed quantum-resistant algorithms substantially reduced the vulnerability of cryptographic systems to quantum-based attacks compared to classical cryptographic methods.
The advent of quantum computing poses a significant threat to current cryptographic systems, particularly public-key algorithms such as RSA and ECC, which are vulnerable to quantum attacks like Shor's algorithm. Post-Quantum Cryptography (PQC) aims to develop and standardize quantum-resistant cryptographic algorithms to secure digital communications in the quantum era. This paper examines the current landscape of PQC, focusing on the evaluation and standardization efforts led by organizations such as the National Institute of Standards and Technology (NIST). We analyze the major families of quantum-resistant algorithms, including lattice-based, hash-based, code-based, multivariate, and isogeny-based cryptography, discussing their security guarantees, performance trade-offs, and implementation challenges. Furthermore, we review NIST's PQC standardization process, highlighting selected finalists and alternate candidates, and explore the ongoing transition challenges in adopting these algorithms across industries. Finally, we discuss future directions for PQC research, including hybrid cryptographic systems and the need for continued cryptanalysis to ensure long-term security. This work provides a comprehensive overview of the progress and challenges in deploying quantum-resistant cryptography to safeguard against emerging quantum threats.
As quantum computing advances, current cryptographic protocols are increasingly vulnerable to quantum attacks, particularly those based on Public Key Infrastructure (PKI) like RSA or Elliptic Curve Cryptography (ECC). This paper presents a comprehensive review of Post-Quantum Cryptography (PQC) as a solution to protect digital systems in the quantum era. We provide an in-depth analysis of various quantum-resistant cryptographic algorithms, including lattice-based, code-based, hash-based, isogeny-based, and multivariate approaches. The review highlights the National Institute of Standards and Technology (NIST) PQC standardization process, highlighting key algorithms, such as CRYSTALS–Kyber, CRYSTALS–Dilithium, Falcon, and SPHINCS+, and discusses the strengths, vulnerabilities, and implementation challenges of the leading algorithms. In addition, we explore transition strategies for organizations, emphasizing hybrid cryptography to ensure backward compatibility during migration. This study offers key insights into the future of cryptographic standards and the critical steps necessary to prepare for the transition from classical to quantum-resistant systems.
Quantum-resistant cryptographic techniques refer to encryption and decryption methods crafted to resist potential attacks from quantum computers. Quantum computers, or QCs, possess the capacity to solve specific mathematical problems significantly faster than classical computers. Consequently, some widely employed cryptographic algorithms, like RSA and Elliptic Curve Cryptography (ECC), may become vulnerable to breaches by quantum computers. To safeguard sensitive data in the future, it becomes crucial to develop cryptographic algorithms that remain robust against potential attacks from quantum computers, thus ensuring the security of sensitive information. Quantum-resistant cryptographic algorithms are specifically engineered to provide this protection against quantum threats. One of the main challenges in developing quantum-resistant cryptographic algorithms is to ensure the security and efficiency for real-world applications. NIST has published Four Quantum-Resistant Cryptographic Algorithms - CRYSTALS-Kyber, CRYSTALS-Dilithium, FALCON and SPHINCS+. In this study, an analysis of these algorithms with various parameters, performance indicators and the capacity is performed, so that it gives an insight about the usage and effectiveness of the algorithms.
Security measures for both encrypting and decrypting data that are designed to withstand attacks from quantum computers are known as quantum-resistant cryptographic approaches. To answer certain mathematical problems, quantum computers (QCs) can outperform classical computers. Specifically designed to offer this security against quantum threats are cryptographic algorithms that are quantum-resistant. Maintaining efficiency and security for practical use is a significant obstacle to creating quantum-resistant cryptography algorithms. Four Quantum-Resistant Cryptographic Algorithms—CRYSTALS-Kyber, CRYSTALS-Dilithium, FALCON, and SPHINCS+—have been released by NIST. The paper analyses these algorithms with different parameters, performance indicators, and capacity to shed light on their usage and efficacy.
The development of quantum computing technology is progressing very quickly, which poses a great threat to classical cryptographic algorithms like RSA and ECC, as they are based on mathematical problems that can be easily solved using quantum computing technology. To overcome the threat of quantum computing technology, the need for PQC algorithms like CRYSTALS Kyber, CRYSTALS Dilithium, Falcon, and SPHINCS+, which are standardized or recommended by NIST, has become essential in the era of cybersecurity. The feasibility of these algorithms in real time applications is the main focus of this thesis. A mixed approach is adopted for this purpose. Benchmark experiments were performed using the Open Quantum Safe library and PQC enabled OpenSSL for key generation, encryption, decryption, signature generation, signature verification, and TLS handshakes. Simulated environment and cloud environment were used for this purpose. Moreover, case studies were also conducted for cloud computing, financial sector, and IoT applications. Additionally, threat modeling is also performed for assessing the migration risks, i.e., “harvest now decrypt later.” The results indicate that the lattice-based methods, like Kyber and Dilithium, offer a robust trade off in terms of performance and security, albeit with increased key and signature sizes compared to classical methods. Hash based methods, like SPHINCS+, offer robust security, albeit with significant performance and size overheads, indicating that they are best used in specific circumstances. Hybrid approaches, using classical as well as quantum methods, were indicated as viable in the transition from classical to quantum methods, especially in circumstances that require backward compatibility. The paper concludes that NIST standardized PQC algorithms are technically viable for contemporary applications, especially in cloud computing and high-performance computing. However, for large-scale implementation, proper engineering and monitoring of developments in crypt analysis need to be performed. Future research should be directed towards implementation optimization, migration frameworks, and further studies in real-world implementations, especially for resource-constrained IoT and legacy system applications.
Purpose: The purpose of this paper is to examine the emerging threat that large-scale quantum computing poses to classical public-key cryptographic systems, particularly RSA and Elliptic Curve Cryptography (ECC), which form the backbone of contemporary digital security infrastructures. In response to this threat, the study aims to analyze post-quantum cryptography (PQC) as a viable long-term solution capable of resisting both classical and quantum adversaries. The paper further seeks to assess the urgency of PQC adoption in light of the “harvest now, decrypt later” threat model and to evaluate the practical readiness of quantum-safe cryptographic algorithms currently under consideration by the National Institute of Standards and Technology (NIST). Materials and Methods: This study employs a qualitative and analytical research methodology grounded in an extensive review of authoritative sources, including NIST’s post-quantum cryptography standardization documents, recent academic literature, industry white papers, and policy reports from organizations such as RAND Corporation and Cloudflare. The analysis systematically surveys major families of post-quantum cryptographic algorithms namely lattice-based, code-based, and hash-based schemes and evaluates them based on security assumptions, computational efficiency, implementation complexity, and standardization maturity. Findings: The analysis indicates that Lattice-based cryptographic schemes demonstrate the highest maturity and practical readiness, evidenced by their selection in NIST’s PQC process. Code- and hash-based methods provide strong security but face key size and performance challenges. The lack of scalable quantum computers does not reduce urgency, as data harvesting persists. Artificial intelligence emerges as a key enabler for accelerating PQC adoption. Unique Contribution to Theory, Practice and Policy: The paper recommends a proactive, phased post-quantum migration using hybrid cryptographic architectures. Organizations should conduct inventories, benchmarking, and pilot deployments aligned with NIST standards. AI-driven tools are advised to improve key management and reduce complexity. Continued interdisciplinary research and policy support are encouraged to ensure a secure, scalable transition to quantum-resistant security systems.