The quantum-resistant qualities of various encryption methods, such as N-th degree Truncated polynomial Ring Units (NTRU) Encrypt, NTRU Sign, Ring-Lizard, and Kyber protocols are becoming more important in light of the ever-evolving nature of digital threats. An-depth analysis of the mathematical derivation of these algorithms, as well as a determination of their computing efficiency and resistance to quantum assaults is discussed in this paper. Techniques of the Ring-Lizard and Kyber algorithms to lattice-based encryption are analyzed. The study gives an overview of quantum-resistant capabilities of these algorithms and their performance measures. Strengths and weaknesses of the NTRU Encrypt, NTRU Sign, Ring-Lizard, and Kyber algorithms are discussed. The results give useful insights for cybersecurity practitioners, academics, and policymakers, aiding them in making educated choices to protect digital infrastructures against quantum attacks.
The quantum-resistant qualities of various encryption methods, such as N-th degree Truncated polynomial Ring Units (NTRU) Encrypt, NTRU Sign, Ring-Lizard, and Kyber protocols are becoming more important in light of the ever-evolving nature of digital threats. An-depth analysis of the mathematical derivation of these algorithms, as well as a determination of their computing efficiency and resistance to quantum assaults is discussed in this paper. Techniques of the Ring-Lizard and Kyber algorithms to lattice-based encryption are analyzed. The study gives an overview of quantum-resistant capabilities of these algorithms and their performance measures. Strengths and weaknesses of the NTRU Encrypt, NTRU Sign, Ring-Lizard, and Kyber algorithms are discussed. The results give useful insights for cybersecurity practitioners, academics, and policymakers, aiding them in making educated choices to protect digital infrastructures against quantum attacks.
This article presents the NTRU (N-th degree Truncated Polynomial Ring) encryption algorithm and extends the encryption and decryption processes using polynomials. The operation of the encryption and decryption algorithms is carried out by generating random polynomials and converting messages into polynomials. The article discusses the quantum-resistant properties of the NTRU algorithm and how it differs from the classical RSA or elliptic curve algorithms. The importance of the NTRU algorithm and its stability against quantum algorithms for ensuring cryptographic security in the post-quantum era are emphasized. These approaches show the possibilities of countering the threats that arise, especially behind the development of quantum computers. The program shows how encryption works in the Python programming language and using polynomials.
As quantum computing technology evolves, it poses greater risks to current cryptography schemes such as RSA and Elliptic Curve Cryptography (ECC), widely used to secure digital communications These classical algorithms are based on mathematical problems that quantum algorithms such as Shore-Grover deal with. Both, can resolve much faster, making them vulnerable to quantum attack This has given rise to post-quantum cryptography (PQC), which focuses on developing quantum-resistant algorithms to protect data in the future of quantum computers classical cryptography Can Break This paper aims to provide a comprehensive insight into quantum-resistant cryptographic algorithms, including lattice-based, hash-based, code-based, and multivariable polynomial methods. It examines the efficiency, benefits, and challenges associated with implementing these algorithms in real-world applications. By comparing key parameters such as key size, encryption/decryption speed, and signature size, this study examines the relative strengths and limitations of post-quantum algorithms to their classical counterparts The results show that lattice-based algorithms , such as NTRU and Kyber, offer promising solutions with relative efficiency and manageable key sizes, making them potential candidates for quantum-resistant cryptography but other approaches , such as SPHINCS+ (hash-based) and McEliece (code-based), large -Face challenges of key size and slow encryption speed, which may limit their usefulness in some applications Despite these challenges, quantum post-cryptography is necessary to secure the future of digital communications.
Lattice-based cryptography seems to be a good area for the researchers in cryptology because of its vulnerability against quantum computing attacks. Such resources as extensive documentation, theoretical foundations, and practical implementations are provided with respect to some key algorithms, which are Learning With Errors (LWE) and Ring-LWE, and sophisticated ones such as homomorphic encryption. This paper aims to make academic research more practical by providing tools for cryptographers and programmers to experiment with lattice-based cryptography in secure communications and data protection. Thus, we examine and implement Lizard, Ring-Lizard, Kyber, Frodo, and NewHope in JavaScript, which are current postquantum cryptography possibilities due to their applicability and efficiency. In this case quantum computational capabilities are referred to as those that may compromise security thus undermining post-quantum cryptography.
Most of the current public key cryptosystems’ security is based on the integer factorization and the discrete logarithm, which are mathematical problems that are considered difficult to solve. However, the publication in 1994 of the Shor’s algorithm [1] was a major setback for the world of cryptography, since it provided a quantum algorithm capable of solving efficiently these mathematical problems. Therefore, in recent years many governments and technology companies have put a lot of effort into developing what is known as post-quantum cryptography, i.e. the science that studies cryptosystems that are resistant to quantum attacks. Along these lines, in 2016 the National Institute of Standards & Technology launched a competition with the aim of establishing and standardising the best performing post-quantum cryptosystems, being the NTRU (Nth Degree Truncated polynomial Ring Units) cryptosystem one of the candidates still on the table. The aim of this project is to study the quantum-resistant cryptosystem NTRU, both from a theoretical and practical point of view. Firstly, the mathematical results on which it is based are presented and the existing attacks against it are analyzed. Finally, a practical implementation of the cryptosystem and four of its attack is carried out, from which experimental results are extracted.
Cryptographic design and analysis play a key role in securing communication through untrusted channels.This need is even more pronounced with the advent of cloud-centric environments.Symmetric encryption techniques can deliver high computational efficiencies only if the distribution and management of keys are secured.Public key cryptographic systems such as RSA and Elliptic Curve Cryptography (ECC), which have been the mainstay, are at risk due to arrival of quantum computers that can solve the integer factorization and discrete logarithm problems efficiently.Although post-quantum cryptography has made some breakthroughs, the lattice-based schemes still have to contend with difficulties such as heavy computation requirements, difficulty in choosing parameters, high power consumption, and low security-performance tradeoff.If lattices parameters are not properly set, they may not withstand lattice attacks and computational efficiency will also be degraded, limiting factor for their use in cloud environments.This study, in the quest for a solution, recommends the usage of N-th degree Truncated Polynomial Ring Units (NTRU) cryptosystem which is optimized by adjusting key parameters like lattice dimension (N), modulus (q), and small modulus (p) determining a Hermite factor (𝛿)-based approach.A metaheuristic optimization technique, Electric Eel Foraging Optimization (EEFO), is used to effectively balance security strength, correctness, and computational efficiency.Also, a new cryptographically strong and quantum-resistant key exchange capability is provided by the Improved Supersingular Isogeny Diffie-Hellman (ISIDH) protocol.The experiments have shown method to have an encryption strength of 0.95, an average success rate of 93.47%, and reduced energy consumption of 0.00085, thereby proving its efficiency.
In the medical field, images play a crucial role in patient monitoring, treatment planning, and diagnosis. Since the digital healthcare revolution, a large number of medical images are being transmitted and stored, making security essential. Any breach in data confidentiality can lead to misdiagnosis of patients. The traditional encryption techniques, like McEliece, have been used to shield medical data. However, the rise of quantum computers poses a threat to the prevailing encryption techniques, as they can easily break and expose medical data to quantum attacks. To overcome these attacks, post-quantum cryptography (PQC) has been introduced. Nth degree truncated polynomial ring unit (NTRU) is a lattice-based PQC algorithm that uses complex mathematical concepts that cannot be solved by quantum computers. Harnessing NTRU's lattice-based security ensures the robustness and resilience of medical data. The proposed system implements the PQC-based NTRU algorithm to protect medical data against quantum attacks.