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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

Quantum key distribution (QKD) is a secure key generation method between two distant parties by wisely exploiting properties of quantum mechanics. In QKD, experimental measurement outcomes on quantum states are transformed by the two…

Quantum Physics · Physics 2010-03-01 Chi-Hang Fred Fung , Xiongfeng Ma , H. F. Chau

We present e cient algorithms for computing isogenies between hyperelliptic curves, leveraging higher genus curves to enhance cryptographic protocols in the post-quantum context. Our algorithms reduce the computational complexity of isogeny…

Number Theory · Mathematics 2025-04-08 Mohammed El Baraka , Siham Ezzouak

Many of the core disciplines of artificial intelligence have sets of standard benchmark problems well known and widely used by the community when developing new algorithms. Constraint programming and automated planning are examples of these…

Artificial Intelligence · Computer Science 2020-09-23 Özgür Akgün , Nguyen Dang , Joan Espasa , Ian Miguel , András Z. Salamon , Christopher Stone

At Crypto 2011, some of us had proposed a family of cryptographic protocols for key establishment capable of protecting quantum and classical legitimate parties unconditionally against a quantum eavesdropper in the query complexity model.…

Quantum Physics · Physics 2021-03-23 Aleksandrs Belovs , Gilles Brassard , Peter Hoyer , Marc Kaplan , Sophie Laplante , Louis Salvail

As quantum computing technology continues to advance, post-quantum cryptographic methods capable of resisting quantum attacks have emerged as a critical area of focus. Given the potential vulnerability of existing homomorphic encryption…

Cryptography and Security · Computer Science 2025-06-25 Abel C. H. Chen

In this work, we exploit a serious security flaw in a code-based signature scheme from a 2019 work by Liu, Yang, Han and Wang. They adapt the McEliece cryptosystem to obtain a new scheme and, on top of this, they design an efficient digital…

Cryptography and Security · Computer Science 2024-02-07 Giuseppe D'Alconzo

This paper introduces a new public key cryptosystem based on two hard problems : the cube root extraction modulo a composite moduli (which is equivalent to the factorisation of the moduli) and the discrete logarithm problem. These two hard…

Cryptography and Security · Computer Science 2012-09-25 Abdoul Aziz Ciss , Ahmed Youssef Ould Cheikh , Djiby Sow

We often interact with untrusted parties. Prioritization of privacy can limit the effectiveness of these interactions, as achieving certain goals necessitates sharing private data. Traditionally, addressing this challenge has involved…

Cryptography and Security · Computer Science 2025-01-16 Ilia Shumailov , Daniel Ramage , Sarah Meiklejohn , Peter Kairouz , Florian Hartmann , Borja Balle , Eugene Bagdasarian

This letter presents a cryptanalysis of the modified McEliece cryptosystem recently proposed by Moufek, Guenda and Gulliver [24]. The system is based on the juxtaposition of quasi-cyclic LDPC and quasi-cyclic MDPC codes. The idea of our…

Cryptography and Security · Computer Science 2017-12-07 Vlad Dragoi , Hervé Talé Kalachi

This paper is an attempt to build a new public-key cryptosystem; similar to the McEliece cryptosystem, using permutation error-correcting codes. We study a public-key cryptosystem built using two permutation error-correcting codes. We show…

Information Theory · Computer Science 2023-09-11 Adarsh Srinivasan , Ayan Mahalanobis

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

The ability to hide information from unauthorized individuals has been a prevalent issue over the years. Countless algorithms such as DES, AES and SHA have been developed. These algorithms depend on varying key length and key management…

Cryptography and Security · Computer Science 2012-09-14 Samuel King Opoku

We propose an application for near-term quantum devices: namely, generating cryptographically certified random bits, to use (for example) in proof-of-stake cryptocurrencies. Our protocol repurposes the existing "quantum supremacy"…

Quantum Physics · Physics 2023-03-06 Scott Aaronson , Shih-Han Hung

Recent technological developments in the field of experimental quantum annealing have made prototypical annealing optimizers with hundreds of qubits commercially available. The experimental demonstration of a quantum speedup for…

Quantum Physics · Physics 2016-07-15 Jeffrey Marshall , Victor Martin-Mayor , Itay Hen

A new computational private information retrieval (PIR) scheme based on random linear codes is presented. A matrix of messages from a McEliece scheme is used to query the server with carefully chosen errors. The server responds with the sum…

Information Theory · Computer Science 2020-05-15 Lukas Holzbaur , Camilla Hollanti , Antonia Wachter-Zeh

We introduce a methodology for generating benchmark problem sets for Ising machines---devices designed to solve discrete optimization problems cast as Ising models. In our approach, linear systems of equations are cast as Ising cost…

Quantum Physics · Physics 2019-09-02 Itay Hen

A simple protocol which takes advantage of the inherent random times of detections in single photon counting modules is presented for random active basis choices when using entanglement-based protocols for Quantum Key Distribution (QKD). It…

We propose a wide class of distillation schemes for multi-partite entangled states that are CSS-states. Our proposal provides not only superior efficiency, but also new insights on the connection between CSS-states and bipartite graph…

Quantum Physics · Physics 2008-04-03 Kai Chen , Hoi-Kwong Lo

There are several public key establishment protocols as well as complete public key cryptosystems based on allegedly hard problems from combinatorial (semi)group theory known by now. Most of these problems are search problems, i.e., they…

Group Theory · Mathematics 2007-05-23 Vladimir Shpilrain , Gabriel Zapata