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Post-quantum cryptography (PQC) attempts to find cryptographic protocols resistant to attacks using for instance Shor's polynomial time algorithm for numerical field problems like integer factorization (IFP) or the discrete logarithm (DLP).…

Cryptography and Security · Computer Science 2024-12-31 Pedro Hecht

Post-Quantum Cryptography (PQC) attempts to find cryptographic protocols resistant to attacks using Shor polynomial time algorithm for numerical field problems or Grover search algorithm. A mostly overlooked but valuable line of solutions…

Cryptography and Security · Computer Science 2018-10-26 Pedro Hecht

Advances in quantum computing make Shor's algorithm for factorising numbers ever more tractable. This threatens the security of any cryptographic system which often relies on the difficulty of factorisation. It also threatens methods based…

Cryptography and Security · Computer Science 2022-02-08 Jon Barton , William J Buchanan , Nikolaos Pitropakis , Sarwar Sayeed , Will Abramson

With the development of Shor's algorithm, some nondeterministic polynomial (NP) time problems (e.g. prime factorization problems and discrete logarithm problems) may be solved in polynomial time. In recent years, although some homomorphic…

Cryptography and Security · Computer Science 2024-02-23 Abel C. H. Chen

Another threat is the development of large quantum computers, which have a high likelihood of breaking the high popular security protocols because it can use both Shor and Grover algorithms. In order to fix this looming threat,…

Cryptography and Security · Computer Science 2025-12-23 Navin Chhibber , Amber Rastogi , Ankur Mahida , Vatsal Gupta , Piyush Ranjan

The rapid advancement of quantum computing poses a critical threat to classical cryptographic algorithms such as RSA and ECC, particularly in Internet of Things (IoT) devices, where secure communication is essential but often constrained by…

Cryptography and Security · Computer Science 2025-07-14 Jesus Lopez , Viviana Cadena , Mohammad Saidur Rahman

With the constantly advancing capabilities of quantum computers, conventional cryptographic systems relying on complex math problems may encounter unforeseen vulnerabilities. Unlike regular computers, which are often deemed cost-ineffective…

Cryptography and Security · Computer Science 2024-09-18 Emils Bagirovs , Grigory Provodin , Tuomo Sipola , Jari Hautamäki

The advent of quantum computing poses a profound threat to traditional cryptographic systems, exposing vulnerabilities that compromise the security of digital communication channels reliant on RSA, ECC, and similar classical encryption…

Cryptography and Security · Computer Science 2024-08-31 G S Mamatha , Namya Dimri , Rasha Sinha

Post-quantum cryptography-PQC- aims to develop public-key primitives that are secure against adversaries using classical and quantum computing technologies. This study introduces novel protocols, a key encapsulation mechanism, a digital…

Cryptography and Security · Computer Science 2026-01-05 Juan Pedro Hecht , Hugo Daniel Scolnik

Classification techniques can be used to analyze system behaviors, network protocols, and cryptographic primitives based on identifiable traits. While useful for defense, such classification can also be leveraged by attackers to infer…

Cryptography and Security · Computer Science 2026-01-13 Tushin Mallick , Cristina Nita-Rotaru , Ashish Kundu , Ramana Kompella

Post-Quantum Cryptography PQC attempts to find cryptographic protocols resistant to attacks using Shors polynomial time algorithm for numerical field problems or Grovers algorithm to find the unique input to a black-box function that…

Cryptography and Security · Computer Science 2020-08-04 Pedro Hecht

Shor's algorithm efficiently solves factoring and discrete logarithm problems using quantum computers, compromising all public key schemes used today. These schemes rely on assumptions on their computational complexity, which quantum…

Quantum Physics · Physics 2025-02-25 Jaime S. Buruaga , Ruben B. Méndez , Juan P. Brito , Vicente Martin

As post-quantum cryptography (PQC) becomes increasingly critical for securing future communication systems, the performance overhead introduced by quantum-resistant algorithms presents a major computing challenge. HQC (Hamming Quasi-Cyclic)…

Cryptography and Security · Computer Science 2025-12-16 Ben Dong , Hui Feng , Qian Wang

In recent years, quantum computers and Shor quantum algorithm have posed a threat to current mainstream asymmetric cryptography methods (e.g. RSA and Elliptic Curve Cryptography (ECC)). Therefore, it is necessary to construct a Post-Quantum…

Cryptography and Security · Computer Science 2024-02-27 Abel C. H. Chen

The advent of quantum computing poses a significant threat to the foundational cryptographic algorithms that secure modern digital communications. Protocols such as HTTPS, digital certificates, and public key infrastructures (PKIs) heavily…

Emerging Technologies · Computer Science 2025-08-05 Arimondo Scrivano

Shor's quantum factoring algorithm and a few other efficient quantum algorithms break many classical crypto-systems. In response, people proposed post-quantum cryptography based on computational problems that are believed hard even for…

Quantum Physics · Physics 2014-09-09 Fang Song

Let $G_1$ be a cyclic multiplicative group of order $n$. It is known that the Diffie-Hellman problem is random self-reducible in $G_1$ with respect to a fixed generator $g$ if $\phi(n)$ is known. That is, given $g, g^x\in G_1$ and having…

Cryptography and Security · Computer Science 2007-05-23 Amitabh Saxena , Ben Soh

With the rapid advancements in quantum computing, traditional cryptographic schemes like Rivest-Shamir-Adleman (RSA) and elliptic curve cryptography (ECC) are becoming vulnerable, necessitating the development of quantum-resistant…

Cryptography and Security · Computer Science 2025-04-21 Omar Alnaseri , Yassine Himeur , Shadi Atalla , Wathiq Mansoor

Advances in quantum computing threaten digital communication security by undermining the foundations of current public-key cryptography through Shor's quantum algorithm. This has driven the development of Post-Quantum Cryptography (PQC), a…

Cryptography and Security · Computer Science 2026-03-09 Callum Turino , William J Buchanan , Owen Lo , Christoph Thuummler

Homomorphic Encryption (HE) allows secure and privacy-protected computation on encrypted data without the need to decrypt it. Since Shor's algorithm rendered prime factorisation and discrete logarithm-based ciphers insecure with quantum…

Cryptography and Security · Computer Science 2025-04-24 Siddhartha Siddhiprada Bhoi , Arathi Arakala , Amy Beth Corman , Asha Rao
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