Lattice-based cryptography’s robust theoretical and Mathematical foundations and resilience to quantum attacks have made it a prominent post-quantum security aspect. Latticebased cryptography has emerged as a critical area of research in response to the growing threat of quantum computing to classical cryptographic schemes. This bibliometric evaluation uses citation sources like Scopus to examine worldwide research trends in lattice-based cryptography from 2009 to 2024. We investigate research hotspots, author partnerships, publication growth, and institutional contributions using visualization tools such as VOSviewer. According to the report, a consistent increase in publications indicates that post-quantum cryptography is becoming increasingly popular among academics and businesses. Furthermore, it explored the global collaboration patterns and the interdisciplinary nature of lattice-based cryptography research. The results underscore the field’s importance in developing secure, quantum-resistant cryptographic systems and suggest directions for future research to address challenges in efficiency, scalability, and real-world applicability.
Lattice-based cryptography’s robust theoretical and Mathematical foundations and resilience to quantum attacks have made it a prominent post-quantum security aspect. Latticebased cryptography has emerged as a critical area of research in response to the growing threat of quantum computing to classical cryptographic schemes. This bibliometric evaluation uses citation sources like Scopus to examine worldwide research trends in lattice-based cryptography from 2009 to 2024. We investigate research hotspots, author partnerships, publication growth, and institutional contributions using visualization tools such as VOSviewer. According to the report, a consistent increase in publications indicates that post-quantum cryptography is becoming increasingly popular among academics and businesses. Furthermore, it explored the global collaboration patterns and the interdisciplinary nature of lattice-based cryptography research. The results underscore the field’s importance in developing secure, quantum-resistant cryptographic systems and suggest directions for future research to address challenges in efficiency, scalability, and real-world applicability.
The need and emergence of quantum computing under National Quantum Mission threatens the cyber-security of existing cryptographic protocols, especially public-key schemes built on integer factorization and discrete logarithms. Lattice-based cryptography has gained prominence as a robust candidate for post-quantum cryptography—offering security against quantum attacks while enabling efficient operations, parallelization, and novel functionalities. This paper analyzes the mathematical foundations of lattices, explores hardness assumptions underlying widely studied lattice problems, highlights prominent cryptographic constructions, analyzes performance trade-offs, and reviews standardization efforts. This paper concludes by identifying ongoing issues and future directions for lattice-based cryptographic systems in a quantum-secure digital world. The algorithm has been implemented in Python.
Abstract Lattice-based cryptography has emerged as a robust and promising framework for ensuring the security and resilience of cryptographic systems in the face of quantum computing threats. This research paper explores the recent advancements in lattice-based cryptographic techniques, delving into their mathematical foundations, practical implementations, and their significance in the contemporary landscape of information security. The paper provides an in-depth analysis of latticebased cryptographic protocols, including encryption schemes, digital signatures, and key exchange mechanisms. Emphasizing the post-quantum safety and impenetrability of latticebased cryptography, the research investigates the theoretical underpinnings of lattice problems and their computational complexity.
This paper delves into lattice-based cryptography as a cornerstone of post-quantum cryptography (PQC), exploring its evolution, key principles, and applications. It examines how lattice-based schemes leverage the inherent hardness of problems such as the Shortest Vector Problem (SVP) and Learning With Errors (LWE) to provide quantum-resistant encryption, digital signatures, and homomorphic encryption. The paper also outlines the historical development of lattice-based cryptography, emphasizing its resilience to quantum attacks in contrast to traditional schemes like RSA and ECC, which are vulnerable to Shor's algorithm. Core concepts, including lattice trapdoors, parameter optimization, and real-world applications in blockchain, cryptocurrencies, and secure communication protocols, are explored in detail. Furthermore, the paper highlights ongoing standardization efforts led by NIST, ethical considerations, practical challenges, and future research directions aimed at improving efficiency, ensuring interoperability, and expanding lattice cryptography’s use in advanced security frameworks. Through comprehensive analysis, this research underscores the importance of lattice-based cryptography as a critical pillar for securing the digital ecosystem against the emerging threat of quantum computing.
The rapid advancements in quantum computing pose a significant threat to traditional cryptographic systems. Latticebased cryptography has emerged as a cornerstone of postquantum cryptography due to its resistance to quantum attacks. This research presents a robust lattice-based cryptographic framework for global cybersecurity. By tackling the shortest vector problem (SVP) and closest vector problem (CVP) through efficient algorithms, the proposed model ensures secure encryption and decryption processes that scale for global communication systems. The findings demonstrate the model's resilience against both classical and quantum attacks, positioning it as a critical solution for the future of secure digital infrastructure.
Quantum computing provides the pathway to dismantle the security provided by cryptography especially classical public-key systems due to the emergence of Shor’s algorithm. This emerging threat necessitates the development of new security paradigms that are quantum-resistant. Consequently, two new approaches have emerged as prominent solutions, namely Quantum Key Distribution (QKD), which relies on quantum mechanical principles for security, and Post-Quantum Cryptography (PQC), which relies on classical cryptography for quantum resistance. This paper presents an extensive analysis of the global research trends in quantum cryptography and post-quantum cryptographic algorithms by incorporating the use of both bibliometric analysis and comparative analysis. The paper relies on a dataset collected from the Web of Science database from 2010 to 2025. The findings of the paper demonstrate an increase in scientific production in the field of quantum cryptography, with post-quantum cryptography emerging as a new dominant area coinciding with standardization by NIST, whereas quantum key distribution continues to evolve with new developments in quantum communication.
With the rapid advancement regarding quantum computing, traditional cryptographic systems face an existential threat because of their reliance concerning mathematical challenges which may be addressed effectively solved using quantum algorithms like the one developed by Shor. This imminent risk has driven extensive research into quantum-resistant cryptography (PQC), that seeks to develop encryption methods resilient against attacks powered by quantum computing. This study offers a thorough literature survey on high-level security techniques in quantum security for PQC, analysing past and current research efforts in this domain. We first examine the vulnerabilities of classical cryptographic protocols, including public-key encryption methods such as RSA (developed by Rivest, Shamir, and Adleman) and ECC (which uses elliptic curve mathematics), and traditional cryptographic hashing methods, against quantum adversaries. The study then explores the foundational approaches to quantum-secure cryptography, including lattice-based, hash-based, multivariate polynomial, code-based, and isogeny-based encryption methods that possess emerged as promising candidates for standardization. The survey highlights key challenges in the real-world application of PQC, including performance trade-offs, key size overhead, and deployment complexities. We conclude by identifying future research directions during the creation of scalable, efficient, and provably secure cryptographic methods designed to withstand quantum attacks techniques. As the shift toward the quantum-resilient era approaches, this survey aims to provide a clear and structured comprehension of the evolving the domain of quantum security for PQC.