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We introduce the use of Fourier analysis on lattices as an integral part of a lattice based construction. The tools we develop provide an elegant description of certain Gaussian distributions around lattice points. Our results include two…

Cryptography and Security · Computer Science 2007-05-23 Oded Regev

We propose a quantum authentication and digital signature protocol whose security is founded on the Quantum Merlin Arthur~(QMA)-completeness of the consistency of local density matrices. The protocol functions as a true public-key…

Quantum Physics · Physics 2025-06-23 Le-Ran Liu , Min-Quan He , Dan-Bo Zhang , Z. D. Wang

The recent discovery of fully-homomorphic classical encryption schemes has had a dramatic effect on the direction of modern cryptography. Such schemes, however, implicitly rely on the assumptions that solving certain computation problems…

Quantum Physics · Physics 2018-10-31 Yingkai Ouyang , Si-Hui Tan , Joseph Fitzsimons

Information leakage to a guessing adversary in index coding is studied, where some messages in the system are sensitive and others are not. The non-sensitive messages can be used by the server like secret keys to mitigate leakage of the…

Information Theory · Computer Science 2022-05-24 Yucheng Liu , Lawrence Ong , Phee Lep Yeoh , Parastoo Sadeghi , Joerg Kliewer , Sarah Johnson

Cryptography with quantum states exhibits a number of surprising and counterintuitive features. In a 2002 work, Barnum et al. argue that these features imply that digital signatures for quantum states are impossible (Barnum et al., FOCS…

Quantum Physics · Physics 2021-12-22 Gorjan Alagic , Tommaso Gagliardoni , Christian Majenz

One of the essential security services needed to safeguard online transactions is fair exchange. In fair exchange protocols two parties can exchange their signatures in a fair manner, so that either each party gain the other's signature or…

Cryptography and Security · Computer Science 2009-12-22 Jamal A. Hussein , Mumtaz A. AlMukhtar

SEQUITUR is an algorithm that infers a hierarchical structure from a sequence of discrete symbols by replacing repeated phrases with a grammatical rule that generates the phrase, and continuing this process recursively. The result is a…

Artificial Intelligence · Computer Science 2009-09-25 C. G. Nevill-Manning , I. H. Witten

Integer factorization is a fundamental problem in algorithmic number theory and computer science. It is considered as a one way or trapdoor function in the (RSA) cryptosystem. To date, from elementary trial division to sophisticated methods…

Number Theory · Mathematics 2025-07-10 Gilda Rech Bansimba , Regis Freguin Babindamana

As one of the most important basic operations, matrix multiplication computation (MMC) has varieties of applications in the scientific and engineering community such as linear regression, k-nearest neighbor classification and biometric…

Cryptography and Security · Computer Science 2021-05-13 Chun Liu , Xuexian Hu , Xiaofeng Chen , Jianghong Wei , Wenfen Liu

To protect user privacy and meet law regulations, federated (machine) learning is obtaining vast interests in recent years. The key principle of federated learning is training a machine learning model without needing to know each user's…

Cryptography and Security · Computer Science 2022-04-12 Di Chai , Leye Wang , Kai Chen , Qiang Yang

We exploit the idea of [Fen22] which proposes to build an efficient signature scheme based on a zero-knowledge proof of knowledge of a solution of a MinRank instance. The scheme uses the MPCitH paradigm, which is an efficient way to build…

Cryptography and Security · Computer Science 2023-07-18 Nicolas Aragon , Loïc Bidoux , Jesús-Javier Chi-Domínguez , Thibauld Feneuil , Philippe Gaborit , Romaric Neveu , Matthieu Rivain

We propose a new approach in cryptanalysis based on an evolution of the concept of \textit{Combinatorial Equivalence}. The aim is to rewrite a cryptosystem under a combinatorially equivalent form in order to make appear new properties that…

Cryptography and Security · Computer Science 2026-03-04 Jaagup Sepp , Eric Filiol

In this paper, an efficient arbitrated quantum signature scheme is proposed by combining quantum cryptographic techniques and some ideas in classical cryptography. In the presented scheme, the signatory and the receiver can share a…

Quantum Physics · Physics 2020-06-16 Qin Li , Chengqing Li , Chunhui Wu , Dongyang Long , Changji Wang

We present an approach to random access that is based on three elements: physical-layer network coding, signature codes and tree splitting. Upon occurrence of a collision, physical-layer network coding enables the receiver to decode the sum…

Information Theory · Computer Science 2014-09-25 Jasper Goseling , Cedomir Stefanovic , Petar Popovski

Image security for information has become increasingly critical as internet become more prevalent due to hacking and unauthorized access. To ensure the security of confidential image data, image encryption using visual cryptography plays a…

Cryptography and Security · Computer Science 2025-09-17 Dipak K. Rabari , Yogesh K. Meghrajani , Laxmi S. Desai

The applications of Generative Artificial Intelligence (GenAI) and their intersections with data-driven fields, such as healthcare, finance, transportation, and information security, have led to significant improvements in service…

Cryptography and Security · Computer Science 2026-04-15 Anes Abdennebi , Nadjia Kara , Laaziz Lahlou

Current security techniques can be implemented with either secret key exchange or physical layer wiretap codes. In this work, we investigate an alternative solution for MIMO wiretap channels. Inspired by the artificial noise (AN) technique,…

Cryptography and Security · Computer Science 2014-10-21 Shuiyin Liu , Yi Hong , Emanuele Viterbo

Nowadays, equivalence problems are widely used in cryptography, most notably to establish cryptosystems such as digital signatures, with MEDS, LESS, PERK as the most recent ones. However, in the context of matrix codes, only the code…

Cryptography and Security · Computer Science 2025-07-22 Magali Bardet , Charles Brion , Philippe Gaborit , Mercedes Haiech , Romaric Neveu

Side-channel attacks, which are capable of breaking secrecy via side-channel information, pose a growing threat to the implementation of cryptographic algorithms. Masking is an effective countermeasure against side-channel attacks by…

Cryptography and Security · Computer Science 2020-06-17 Pengfei Gao , Hongyi Xie , Fu Song , Taolue Chen

Signatory is a library for calculating and performing functionality related to the signature and logsignature transforms. The focus is on machine learning, and as such includes features such as CPU parallelism, GPU support, and…

Machine Learning · Computer Science 2021-02-09 Patrick Kidger , Terry Lyons