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PROSPECTS AND PRACTICAL SOLUTIONS OF POST-QUANTUM CRYPTOGRAPHY

Khusanova Mokhirakhon Kurbanaliyevna, Rakhmonov Ozodbek Shavkatjon ugli

Published Jul 5, 2025• 0 citations
OpenAlex

Abstract

With the rapid advancement of information technologies, cybersecurity threats are increasing at an alarming rate. In particular, the emergence of quantum computers poses a serious risk to traditional cryptographic algorithms such as RSA, ECC, and DSA, which rely on mathematical problems that are difficult to solve using classical computing. However, these same problems can be efficiently solved on a quantum computer using Shor’s algorithm, thus endangering the security of nearly all current public-key cryptosystems. In response, the concept of Post-Quantum Cryptography (PQC) is gaining global attention as a future-proof solution.

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With the rapid advancement of information technologies, cybersecurity threats are increasing at an alarming rate. In particular, the emergence of quantum computers poses a serious risk to traditional cryptographic algorithms such as RSA, ECC, and DSA, which rely on mathematical problems that are difficult to solve using classical computing. However, these same problems can be efficiently solved on a quantum computer using Shor’s algorithm, thus endangering the security of nearly all current public-key cryptosystems. In response, the concept of Post-Quantum Cryptography (PQC) is gaining global attention as a future-proof solution.
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.
The emergence of quantum computing poses a serious threat to traditional communication systems, endangering the security of digital communications and critical infrastructure. Although existing cryptographic algorithms (such as RSA and ECC) rely on the inefficiency of computing large numbers or solving logarithm inequality problems, quantum algorithms (especially Shor's algorithm) can solve these problems efficiently. To mitigate this threat, the field of post-quantum cryptography (PQC) has emerged and focuses on developing cryptographic systems that are resilient to quantum attacks. The main techniques in PQC include lattice-based, hash-based, code-based, and multivariate polynomial cryptography. Lattice-based cryptography is the leading contender, providing high security and supporting good properties such as fully homomorphic encryption, but facing issues related to size and computational efficiency. Hash-based encryption enables strong digital signatures but has limitations. Code-based encryption based on error-correcting codes provides proof of security but requires small size. Multivariate polynomial cryptography has good performance but has drawbacks in some applications. While standardization efforts led by organizations such as NIST continue, PQC is at the forefront of protecting the digital future from the impact of quantum computing, ensuring the integrity and confidentiality of information in the post-quantum era.
Abstract It is viewed as revolutionary technology, offering incredible potential in terms of computing power within different scientific and industrial sectors. Quantum computers provide remarkable computing power; however, they also present significant security risks to existing public-key cryptography systems used to secure digital communication, online banking systems, government, medical applications, cloud computing systems, and IoT systems. Security of commonly used encryption schemes like RSA, DH, and ECC depends on mathematical problems that are impossible for classical computers to solve but can be easily resolved with the help of powerful enough quantum computers by using Shor’s algorithm. Furthermore, Grover’s algorithm makes exhaustive search attacks much faster, thus effectively lowering the security level of symmetric encryption schemes since it provides the speed-up for brute-force attacks. Post-Quantum Cryptography (PQC) turned out to be an effective and scalable method to protect digital data from attacks using quantum computing. In contrast to quantum cryptography, which requires a special quantum communication channel, PQC uses classical cryptographic algorithms that cannot be broken down by either classical or quantum computer due to certain mathematical problems. This research paper offers an extensive exploration of post-quantum cryptography through the analysis of the development of quantum computing, weaknesses of current cryptographic techniques, and mathematics behind quantum-resistant algorithms. Moreover, this paper explores the major classes of PQC techniques such as lattice-based, code-based, hash-based, multivariate, and isogeny-based cryptography and provides details about their security and application. Moreover, the report gives an overview of the NIST Post-Quantum Cryptography Standardization Project and analyzes recent standardizations of quantum-proof algorithms to be utilized in future digital infrastructures. Keywords: Post-Quantum Encryption, Quantum Security, Quantum-Proof Public-Key Cryptography, Lattice-Based Security Protocols, ML-KEM Key Encapsulation Mechanism, ML-DSA Digital Signature Algorithm, NIST Post-Quantum Cryptography, Contemporary Cybersecurity, Secure Communications, Cryptographic Algorithms.
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.
Quantum computing has emerged as a disruptive technology with the potential to revolutionize various fields, including information security. Traditional cryptographic protocols, including RSA, ECC, and AES, rely on the difficulty of certain mathematical problems for their security. However, the advent of quantum computing poses a significant threat to these encryption methods, as quantum algorithms such as Shor's and Grover's algorithms can efficiently solve problems that are computationally hard for classical systems. This paper explores the implications of quantum computing on existing cryptographic systems and proposes strategies for future-proofing information security protocols. We examine the vulnerabilities introduced by quantum computing, highlight the role of post-quantum cryptography (PQC), and explore quantum key distribution (QKD) as potential solutions for ensuring the confidentiality, integrity, and authenticity of digital communications. The paper discusses various quantum-resistant algorithms and offers insights into the ongoing efforts by international standardization bodies to prepare for a post-quantum world.
Quantum computing is the future of computing with promised radical increase in processing capability; however, it is a threat the existing cybersecurity paradigm. Classical encryption techniques especially the ones based on public-key cryptography are insecure against quantum algorithms such as Shor’s algorithm where typical cryptographic schemes the use of which was exemplified by the RSA and ECC will be threatened. While torrents of research have been accomplished in building and developing quantum computers, the importance of post-quantum cryptography (PQC) becomes more felt. This paper attempts to look at the threats that quantum technologies pose to current cryptographic methods and the countermeasures that are being worked on to counter them. We do so to evaluate the current status on quantum computing and its ramifications to data security, as well as the work that academic and government institutions and business enterprises have done on coming with Quantum-Resistant Cryptography. In addition, the paper gives an overview of the most promising post-quantum cryptographic techniques including lattice cryptography, hash-based signatures, and code-based cryptosystems and cryptographic protocols that are under consideration as the next generation cryptographic protocols. It also tackles the problems related to the migration to the post-quantum cryptographic systems the problem of standardisation the problem of compatibility, and the problem of growth of new algorithms. Moreover, prescriptive advice on the concept of quantum readiness and timely implementation of cyber defence plans to safeguard sensitive data and crucial infrastructure against quantum risks is provided. Finally, the paper offers suggestions for the organisations for starting to transition to the post-quantum landscape in terms of using hybrid cryptographic systems and promoting cooperation in the fight against the threats of quantum technology world-wide.