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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 2019-04-23 P. Hecht

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 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

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

Currently there is an active Post-Quantum Cryptography (PQC) solutions search, which attempts to find cryptographic protocols resistant to attacks by means of for instance Shor polynomial time algorithm for numerical field problems like…

Cryptography and Security · Computer Science 2017-04-25 Pedro Hecht

In this paper, we present a simple bare-bones solution of a Zero-Knowledge authentication protocol which uses non-commutative algebra and a variation of the generalized symmetric decomposition problem (GSDP) as a one-way function. The…

Cryptography and Security · Computer Science 2017-03-28 Pedro Hecht

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

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

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

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

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

The rise of quantum computing threatens traditional cryptographic algorithms that secure Transportation Cyber-Physical Systems (TCPS). Shor's algorithm poses a significant threat to RSA and ECC, while Grover's algorithm reduces the security…

Cryptography and Security · Computer Science 2024-11-21 Abdullah Al Mamun , Akid Abrar , Mizanur Rahman , M Sabbir Salek , Mashrur Chowdhury

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

As quantum computing advances, the cryptographic algorithms that underpin confidentiality, integrity, and authentication in Intelligent Transportation Systems (ITS) face increasing vulnerability to quantum-enabled attacks. To address these…

Cryptography and Security · Computer Science 2026-02-17 Abdullah Al Mamun , Akid Abrar , Mizanur Rahman , M Sabbir Salek , Mashrur Chowdhury

The development of large quantum computers will have dire consequences for cryptography. Most of the symmetric and asymmetric cryptographic algorithms are vulnerable to quantum algorithms. Grover's search algorithm gives a square root time…

Cryptography and Security · Computer Science 2022-02-08 Ritik Bavdekar , Eashan Jayant Chopde , Ashutosh Bhatia , Kamlesh Tiwari , Sandeep Joshua Daniel , Atul

Shor's and Grover's algorithms' efficiency and the advancement of quantum computers imply that the cryptography used until now to protect one's privacy is potentially vulnerable to retrospective decryption, also known as \emph{harvest now,…

Cryptography and Security · Computer Science 2025-03-14 Denis Berger , Mouad Lemoudden , William J Buchanan

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

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

Distributed quantum computing (DQC) connects many small quantum processors into a single logical machine, offering a practical route to scalable quantum computation. However, most existing DQC paradigms are structure-agnostic. Circuit…

Quantum Physics · Physics 2026-03-10 Yuwen Huang , Xiaojun Lin , Bin Luo , John C. S. Lui
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