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European Journal of Information Technologies and Computer Science

The Impact of Quantum Computing on Cryptographic Systems: Urgency of Quantum-Resistant Algorithms and Practical Applications in Cryptography

Charles Kinyua Gitonga

Published Jan 14, 2025• 33 citations
Publisher

Abstract

Quantum computing presents computational powers previously thought unattainable. This brings severe threats to classical cryptographic methods, especially RSA and ECC. This paper addresses these risks through a detailed investigation of quantum-resistant algorithms, focusing on lattice- based (CRYSTALS-Kyber), hash-based (SPHINCS+), and code-based (McEliece) systems. Research questions guiding this study include: How vulnerable are traditional algorithms under quantum attack, and which quantum-resistant alternatives offer viable performance and security trade-offs? Through simulations, we analyzed key metrics like encryption speeds, key sizes, and efficiency under quantum threats. Additionally, we demonstrated vulnerabilities in RSA-2048 and ECC-256 under Shor’s algorithm, emphasizing the necessity for quantum-resistant cryptography. Our results highlighted CRYSTALS-Kyber as a balanced candidate, aligning with the NIST PQC Standardization, while Quantum Key Distribution (QKD) is reviewed for high-sensitivity contexts. Given the forecasted advancements in quantum hardware, we propose a transitional approach using hybrid cryptographic systems to ensure immediate security and ease the shift to quantum-safe protocols. This study also explores industry applications, particularly in finance, healthcare, and IoT, recommending a phased adoption strategy utilizing hybrid cryptographic systems for a secure, gradual transition.

DOI
10.24018/compute.2025.5.1.146

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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.
Quantum computing represents a transformative advancement in computational power, with profound implications for cryptographic systems. This paper explores the intersection of quantum computing and cryptography, examining the potential for quantum computers to both break traditional cryptographic algorithms and enable new forms of secure communication. Classical cryptographic systems, such as RSA and ECC, rely on the computational difficulty of problems like integer factorization and discrete logarithms. However, quantum algorithms, notably Shor's algorithm, can solve these problems exponentially faster than the best-known classical algorithms, posing a significant threat to the security of current cryptographic practices. This vulnerability necessitates the development and implementation of quantum-resistant algorithms to ensure data security in a post-quantum world. The paper reviews the state-of-the-art in quantum-resistant cryptographic algorithms, including lattice-based, hash-based, code-based, and multivariate polynomial cryptography. These algorithms are analyzed for their security properties, efficiency, and practicality for real-world deployment. Additionally, the paper discusses the ongoing standardization efforts led by organizations such as NIST, which are crucial for establishing widely accepted quantum-safe cryptographic protocols. Beyond the threat posed by quantum computing, this paper also highlights the potential benefits quantum computing can bring to cryptographic systems. Quantum Key Distribution (QKD) is one such advancement, offering theoretically unbreakable encryption by leveraging the principles of quantum mechanics. QKD enables secure communication channels that are immune to any computational advances, including those of quantum computers, by ensuring that any attempt at eavesdropping can be detected. The practical implementation challenges of QKD and other quantum cryptographic protocols are also addressed, including issues related to transmission distance, error rates, and integration with existing communication infrastructures. Experimental results from recent QKD trials are presented, showcasing significant progress in extending the viability of quantum-secure communication over long distances. Furthermore, the paper delves into the hybrid approaches combining classical and quantum cryptographic techniques. These approaches aim to leverage the strengths of both paradigms to enhance security and performance. For instance, hybrid protocols might use classical encryption for bulk data transfer, supplemented by quantum techniques for key exchange, thereby ensuring robust security even against future quantum adversaries. In conclusion, while quantum computing poses substantial risks to existing cryptographic systems, it also offers novel opportunities for creating highly secure communication protocols. The transition to quantum-safe cryptography is imperative to protect sensitive information in the quantum era. This paper underscores the urgency of advancing quantum-resistant cryptographic research, promoting international collaboration for standardization, and exploring innovative applications of quantum technologies in cryptography. Continued research and development in these areas are essential to stay ahead of the evolving threat landscape and harness the full potential of quantum computing for secure communications.
The advent of large-scale quantum computers poses an existential threat to the cryptographic algorithms that underpin modern digital security. Shor's algorithm enables quantum computers to factor large integers and compute discrete logarithms in polynomial time, rendering RSA, Elliptic Curve Cryptography (ECC), and Diffie-Hellman key exchange fundamentally insecure. Meanwhile, Grover's algorithm provides a quadratic speedup for brute-force search, effectively halving the security strength of symmetric ciphers and hash functions. This paper presents a comprehensive investigation into the impact of quantum computing on both asymmetric and symmetric cryptographic algorithms. We analyze the computational resources required by quantum attacks on current standards, evaluate the timeline of quantum threats based on hardware roadmaps from leading quantum computing companies, and conduct a systematic performance comparison of NIST-standardized post-quantum cryptographic (PQC) algorithms. Our experimental evaluation covers key generation time, encapsulation/decapsulation latency, signature generation/verification speed, key sizes, and bandwidth overhead across lattice-based, code-based, hash-based, and multivariate cryptographic schemes. Results indicate that lattice-based schemes, particularly CRYSTALS-Kyber and CRYSTALS-Dilithium, offer the most favorable balance of security and performance for practical deployment. We also propose a phased migration framework for transitioning existing cryptographic infrastructure to quantum-resistant alternatives, addressing compatibility, performance, and operational challenges.
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.
The advent of quantum computing poses a paradigm-shifting threat to classical cryptographic systems that underpin global digital security. As quantum processors advance towards practical scalability, previously secure encryption schemesparticularly those based on integer factorization (e.g., RSA) and discrete logarithm problems (e.g., ECC and DH)-are rendered vulnerable due to quantum algorithms like Shor's and Grover's. This paper critically examines the implications of quantum computing for contemporary cryptographic frameworks and explores the urgent need to transition toward quantum-resistant alternatives. We begin by analyzing the computational capabilities of quantum systems and their impact on symmetric and asymmetric cryptographic algorithms. The study delves into the principles of postquantum cryptography (PQC), including lattice-based, hash-based, code-based, multivariate polynomial, and supersingular isogeny cryptography, evaluating their strengths, implementation challenges, and resistance to quantum attacks. Additionally, we assess ongoing global initiatives such as NIST's post-quantum cryptography standardization project, highlighting their role in shaping future security infrastructures. The paper also considers hybrid cryptographic models and quantum key distribution (QKD) as transitional and long-term security strategies. By rethinking security from both theoretical and practical standpoints, this study emphasizes the need for immediate and collaborative action across academia, industry, and government sectors to future-proof digital communication systems against the looming quantum threat.