Confidentiality in our digital world is based on the security of cryptographic algorithms. These are usually executed transparently in the background, with people often relying on them without further knowledge. In the course of technological progress with quantum computers, the protective function of common encryption algorithms is threatened. This particularly affects public-key methods such as RSA and DH based on discrete logarithms and prime factorization. Our concept describes the transformation of a classical asymmetric encryption method to a modern complexity class. Thereby the approach of CramerShoup is put on the new basis of elliptic curves. The system is provable cryptographically strong, especially against adaptive chosen-ciphertext attacks. In addition, the new method features small key lengths, making it suitable for Internet-of-Things. It represents an intermediate step towards an encryption scheme based on isogeny elliptic curves. This approach shows a way to a secure encryption scheme for the post-quantum computing era.
Confidentiality in our digital world is based on the security of cryptographic algorithms. These are usually executed transparently in the background, with people often relying on them without further knowledge. In the course of technological progress with quantum computers, the protective function of common encryption algorithms is threatened. This particularly affects public-key methods such as RSA and DH based on discrete logarithms and prime factorization. Our concept describes the transformation of a classical asymmetric encryption method to a modern complexity class. Thereby the approach of CramerShoup is put on the new basis of elliptic curves. The system is provable cryptographically strong, especially against adaptive chosen-ciphertext attacks. In addition, the new method features small key lengths, making it suitable for Internet-of-Things. It represents an intermediate step towards an encryption scheme based on isogeny elliptic curves. This approach shows a way to a secure encryption scheme for the post-quantum computing 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.
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.
Quantum computing is one of the most significant technological revolutions in the 21st century. Its ability to compute complicated mathematical equations exponentially higher than classical computers poses a risk of becoming outdated to the present cryptographic systems. RSA and Elliptic Curve Cryptography (ECC)-based public key infrastructures are especially susceptible to the Shor algorithm that is capable of factoring large integers and calculating discrete logarithms on a sufficiently large quantum computer. The paper will discuss the principles of quantum computation and their applications in cryptography, as well as a new branch of cryptography, post-quantum cryptography (PQC). It discusses fabrics of key algorithmic contenders, the implementation issues, and the worldwide move to quantum resilient systems. The paper finds that hybrid encryption models, international standardization, and ethical governance are the key elements to achieving the digital future in the quantum era.
Quantum computing is poised to revolutionize numerous fields, including cryptography. Traditional encryption algorithms that form the backbone of modern digital security, such as RSA and Elliptic Curve Cryptography (ECC), rely on computationally difficult problems—specifically, the factorization of large integers and the solving of discrete logarithms. However, quantum computers, leveraging the principles of quantum mechanics, present the potential to solve these problems in polynomial time through algorithms like Shor’s Algorithm, rendering these encryption methods insecure. The development of sufficiently powerful quantum computers could therefore undermine the confidentiality and integrity of sensitive digital information across the internet. This paper explores the threats posed by quantum computing to traditional cryptographic systems, with a focus on the impact of Shor’s Algorithm and Grover’s Algorithm. In addition, the paper reviews ongoing efforts to develop quantum-resistant cryptographic techniques, particularly in the area of post-quantum cryptography (PQC). It discusses the NIST Post-Quantum Cryptography Standardization project, the promising alternatives to current encryption schemes, and the potential for quantum key distribution (QKD) as a solution. The paper concludes with a reflection on the urgent need to prepare for quantum computing's eventual impact on digital security and the steps that can be taken to mitigate these risks in the transition to quantum-safe cryptography.
Quantum computing advancements create threat to encryption systems which protect modern digital communication networks. The integer factorization and discrete logarithm problems which RSA and ECC algorithms depend on become vulnerable to Shor's algorithm when large-scale quantum computers achieve operational status. Billions of small IoT devices operating in resource-constrained environments face a major security risk because their lightweight encryption methods lack protection against quantum-level attacks. The research investigates Post-Quantum Cryptography(PQC) as a new cryptographic framework which protects against both quantum and classical attacks. The proposed system integrates three advanced elements that work together to provide lattice-based encryption for mathematical security and hash-based signature schemes for authentication and an intelligent threat detection system. The hybrid framework provides complete security protection while maintaining high performance and low processing requirements which makes it suitable for protecting IoT networks.
The development of quantum computers poses a new security threat to network infrastructures and services, as they will be powerful enough to break the most common forms of digital encryption. Existing encryption services based on Rivest–Shamir–Adleman (RSA), Diffie-Hellman (DH), Elliptic Curve Cryptography (ECC) and so on are vulnerable to attacks by quantum computers. Although the gap between today’s quantum computers and the threats they pose to current public-key cryptography is large, the telecommunications landscape should begin planning for the transition to the post-quantum era as early as possible. In this paper, we examine recent advances in Post Quantum Cryptography (PQC) algorithms from the perspective of the networking and telecommunications industries. The efforts are categorized at three levels, namely communication, computation (consisting of design, implementation and Public Key System (PKS)), and network. Some of the existing challenges and future recommendations for securing communication networks in the post-quantum era are also listed at the end of the paper.