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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

We initiate the study of multi-party computation for classical functionalities (in the plain model) with security against malicious polynomial-time quantum adversaries. We observe that existing techniques readily give a polynomial-round…

Quantum Physics · Physics 2020-11-23 Amit Agarwal , James Bartusek , Vipul Goyal , Dakshita Khurana , Giulio Malavolta

Block ciphers are versatile cryptographic ingredients that are used in a wide range of applications ranging from secure Internet communications to disk encryption. While post-quantum security of public-key cryptography has received…

Cryptography and Security · Computer Science 2026-04-16 Gorjan Alagic , Chen Bai , Christian Majenz , Kaiyan Shi

Digital signatures are fundamental cryptographic primitives that ensure the authenticity and integrity of digital documents. In the post-quantum era, classical public key-based signature schemes become vulnerable to brute-force and…

Cryptography and Security · Computer Science 2025-07-29 Satish Kumar , Md. Arzoo Jamal

Shor algorithm led to the discovery of multiple vulnerabilities in a number of cryptosystems. As a result, post-quantum cryptography attempts to provide cryptographic solutions that can face these attacks, ensuring the security of sensitive…

Quantum Physics · Physics 2025-04-01 I. Cherkaoui , S. Belabssir , J. Horgan , I. Dey

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

This paper introduces a novel cryptographic approach based on the continuous logarithm in the complex circle, designed to address the challenges posed by quantum computing. By leveraging its multi-valued and spectral properties, this…

Cryptography and Security · Computer Science 2025-01-22 Jaafar Gaber

We present a novel approach to post-quantum cryptography that employs directed-graph decryption of noise-enhanced high-memory convolutional codes. The proposed construction generates random-like generator matrices that effectively conceal…

Cryptography and Security · Computer Science 2025-12-04 Meir Ariel

Post-quantum cryptography currently rests on a small number of hardness assumptions, posing significant risks should any one of them be compromised. This vulnerability motivates the search for new and cryptographically versatile assumptions…

Quantum Physics · Physics 2026-03-20 Jonathan Z. Lu , Alexander Poremba , Yihui Quek , Akshar Ramkumar

In recent years, the advancement of quantum computing technology has posed potential security threats to RSA cryptography and elliptic curve cryptography. In response, the National Institute of Standards and Technology (NIST) published…

Cryptography and Security · Computer Science 2025-07-30 Abel C. H. Chen

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

Nowadays, predominant asymmetric cryptographic schemes are considered to be secure because discrete logarithms are believed to be hard to be computed. The algorithm of Shor can effectively compute discrete logarithms, i.e. it can brake such…

Cryptography and Security · Computer Science 2025-04-01 Johanna Barzen , Frank Leymann

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

The advent of quantum computation compels the cryptographic community to design digital signature schemes whose security extends beyond the classical hardness assumptions. In this work, we introduce Spinel, a post-quantum digital signature…

Cryptography and Security · Computer Science 2026-02-12 Asmaa Cherkaoui , Faraz Heravi , Delaram Kahrobaei , Siamak F. Shahandashti

In August 2015 the cryptographic world was shaken by a sudden and surprising announcement by the US National Security Agency NSA concerning plans to transition to post-quantum algorithms. Since this announcement post-quantum cryptography…

Cryptography and Security · Computer Science 2017-12-21 Jean-Charles Faug`ere , Kelsey Horan , Delaram Kahrobaei , Marc Kaplan , Elham Kashefi , Ludovic Perret

This paper presents a novel post-quantum cryptosystem based on high-memory masked convolutional codes. Unlike conventional code-based schemes that rely on block codes with fixed dimensions and limited error-correction capability, our…

Cryptography and Security · Computer Science 2025-10-20 Meir Ariel

In this paper we discuss the Hidden Subgroup Problem (HSP) in relation to post-quantum group-based cryptography. We review the relationship between HSP and other computational problems discuss an optimal solution method, and review the…

Cryptography and Security · Computer Science 2018-05-22 Kelsey Horan , Delaram Kahrobaei

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

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

The paper explains that post-quantum cryptography is necessary due to the introduction of quantum computing causing certain algorithms to be broken. We analyze the different types of post-quantum cryptography, quantum cryptography and…

Cryptography and Security · Computer Science 2023-12-19 Marel Alvarado , Luke Gayler , Alex Seals , Tao Wang , Tao Hou
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