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Digital signatures are fundamental cryptographic primitives that ensure the authenticity and integrity of digital communication. However, in scenarios involving sensitive interactions -- such as e-voting or e-cash -- there is a growing need…

Cryptography and Security · Computer Science 2025-06-04 Shanu Poddar , Sweta Mishra , Tapaswini Mohanty , Vikas Srivastava , Sugata Gangopadhyay

In this paper we consider a post-quantum digital signature scheme based on low-density generator matrix codes and propose efficient algorithmic solutions for its implementation. We also review all known attacks against this scheme and…

Cryptography and Security · Computer Science 2018-07-18 Marco Baldi , Alessandro Barenghi , Franco Chiaraluce , Gerardo Pelosi , Joachim Rosenthal , Paolo Santini , Davide Schipani

On July 5, 2022, the National Institute of Standards and Technology announced four possible post-quantum cryptography standards, three of them are based on lattice theory and the other one is based on Hash function. It is well-known that…

Information Theory · Computer Science 2024-05-01 Chuanming Zong

In 1994, P. Shor discovered quantum algorithms which can break both the RSA cryptosystem and the ElGamal cryptosystem. In 2007, D-Wave demonstrated the first quantum computer. These events and further developments have brought a crisis to…

Metric Geometry · Mathematics 2025-07-01 Chuanming Zong

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

Lattice-based cryptography has emerged as one of the most prominent candidates for post-quantum cryptography, projected to be secure against the imminent threat of large-scale fault-tolerant quantum computers. The Shortest Vector Problem…

Quantum Physics · Physics 2024-11-08 Júlia Barberà-Rodríguez , Nicolas Gama , Anand Kumar Narayanan , David Joseph

Solving combinatorial optimization problems on near-term quantum devices has gained a lot of attraction in recent years. Currently, most works have focused on single-objective problems, whereas many real-world applications need to consider…

Quantum Physics · Physics 2025-06-06 Linus Ekstrom , Hao Wang , Sebastian Schmitt

Quantum computing has gained a lot of attention recently, and scientists have seen potential applications in this field using quantum computing for Cryptography and Communication to Machine Learning and Healthcare. Protein folding has been…

Quantum Physics · Physics 2022-11-16 Hasan Mustafa , Sai Nandan Morapakula , Prateek Jain , Srinjoy Ganguly

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

Lattice-based cryptography is a foundation for post-quantum security, with the Learning with Errors (LWE) problem as a core component in key exchange, encryption, and homomorphic computation. Structured variants like Ring-LWE (RLWE) and…

Cryptography and Security · Computer Science 2025-02-12 Dongfang Zhao

The use of codes defined by sparse characteristic matrices, like QC-LDPC and QC-MDPC codes, has become an established solution to design secure and efficient code-based public-key encryption schemes, as also witnessed by the ongoing NIST…

Cryptography and Security · Computer Science 2022-05-26 Marco Baldi , Franco Chiaraluce , Paolo Santini

Our main result is a reduction from worst-case lattice problems such as GapSVP and SIVP to a certain learning problem. This learning problem is a natural extension of the `learning from parity with error' problem to higher moduli. It can…

Cryptography and Security · Computer Science 2024-01-09 Oded Regev

Variational quantum algorithms (VQAs) have the potential of utilizing near-term quantum machines to gain certain computational advantages over classical methods. Nevertheless, modern VQAs suffer from cumbersome computational overhead,…

Quantum Physics · Physics 2021-06-25 Yuxuan Du , Yang Qian , Dacheng Tao

Optimization problems are critical across various domains, yet existing quantum algorithms, despite their great potential, struggle with scalability and accuracy due to excessive reliance on entanglement. To address these limitations, we…

Quantum Physics · Physics 2025-03-04 Seongmin Kim , In-Saeng Suh

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

Digital signatures ensure the integrity of a classical message and the authenticity of its sender. Despite their far-reaching use in modern communication, currently used signature schemes rely on computational assumptions and will be…

Quantum Physics · Physics 2022-12-26 Matthew Thornton , Hannah Scott , Callum Croal , Natalia Korolkova

Variational quantum algorithms hold great promise for unlocking the power of near-term quantum processors, yet high measurement costs, barren plateaus, and challenging optimization landscapes frequently hinder them. Here, we introduce…

Quantum Physics · Physics 2026-03-10 Mengzhen Ren , Yu-Cheng Chen , Yangsen Ye , Min-Hsiu Hsieh , Alice Hu , Chang-Yu Hsieh

Voting is a primary democratic activity through which voters select representatives or approve policies. Conventional paper ballot elections have several drawbacks that might compromise the fairness, effectiveness, and accessibility of the…

Cryptography and Security · Computer Science 2026-05-05 Vikas Srivastava , Debasish Roy , Sihem Mesnager , Nibedita Kundu , Sumit Kumar Debnath , Sourav Mukhopadhyay

The paper explores a novel cryptosystem for digital signatures based on linear equa-tions for logarithmic signatures. A logarithmic signature serves as a fundamental cryptographic primitive, characterized by properties such as nonlinearity,…

Cryptography and Security · Computer Science 2024-05-28 Gennady Khalimov , Yevgen Kotukh , Maksym Kolisnyk , Svitlana Khalimova , Oleksandr Sievierinov

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
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