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Pseudorandom unitaries (PRUs) are ensembles of efficiently implementable unitary operators that cannot be distinguished from Haar random unitaries by any quantum polynomial-time algorithm with query access to the unitary. We present a…

Quantum Physics · Physics 2024-02-23 Tony Metger , Alexander Poremba , Makrand Sinha , Henry Yuen

Finding the sparse representation of a signal in an overcomplete dictionary has attracted a lot of attention over the past years. This paper studies ProSparse, a new polynomial complexity algorithm that solves the sparse representation…

Information Theory · Computer Science 2017-07-11 Yue M. Lu , Jon Oñativia , Pier Luigi Dragotti

This paper studies how post-quantum cryptographic (PQC) security assumptions can be represented and communicated through a structured, layered framework that is useful for technical interpretation but does not replace formal cryptographic…

Cryptography and Security · Computer Science 2026-04-07 Daisuke Ishii , Rizwan Jahangir

Advanced Persistent Threats (APTs) are sophisticated, long-term cyberattacks that are difficult to detect because they operate stealthily and often blend into normal system behavior. This paper presents a neuro-symbolic anomaly detection…

Machine Learning · Computer Science 2026-02-17 Asif Tauhid , Sidahmed Benabderrahmane , Mohamad Altrabulsi , Ahamed Foisal , Talal Rahwan

An approach to generate the pseudorandom-bit sequence from the asymptotic deterministic randomness system is proposed in this Letter. We study the characteristic of multi-value correspondence of the asymptotic deterministic randomness…

Chaotic Dynamics · Physics 2009-11-13 Kai Wang , Wenjiang Pei , Haishan Xia , Yiu-ming Cheung

We discuss a new attack, termed a dimension or linear decomposition attack, on several known group-based cryptosystems. This attack gives a polynomial time deterministic algorithm that recovers the secret shared key from the public data in…

Group Theory · Mathematics 2015-06-18 Vitaliǐ Roman'kov , Alexei Myasnikov

Should quantum computers become available, they will reduce the effective key length of basic secret-key primitives, such as blockciphers. To address this we will either need to use blockciphers which inherently have longer keys or use…

Quantum Physics · Physics 2021-10-26 Joseph Jaeger , Fang Song , Stefano Tessaro

We extend two of the attacks on the PLWE problem presented in (Y. Elias, K. E. Lauter, E. Ozman, and K. E. Stange, Ring-LWE Cryptography for the Number Theorist, in Directions in Number Theory, E. E. Eischen, L. Long, R. Pries, and K. E.…

This article introduces a novel cryptographic paradigm based on nonderived polyadic algebraic structures. Traditional cryptosystems rely on binary operations within groups, rings, or fields, whose well-understood properties can be exploited…

Cryptography and Security · Computer Science 2025-12-17 Steven Duplij , Na Fu , Qiang Guo

We develop matrix cryptography based on linear recurrent sequences of any order that allows securing encryption against brute force and chosen plaintext attacks. In particular, we solve the problem of generalizing error detection and…

Cryptography and Security · Computer Science 2022-06-24 Sergiy Koshkin , Daniel Rodriguez

Quantum cryptographic protocols do not rely only on quantum-physical resources, they also require reliable classical communication and computation. In particular, the secrecy of any quantum key distribution protocol critically depends on…

Quantum Physics · Physics 2025-06-03 Iyán Méndez Veiga , Esther Hänggi

We introduce the swap-or-not shuffle and show that the technique gives rise to a new method to convert a pseudorandom function (PRF) into a pseudorandom permutation (PRP) (or, alternatively, to directly build a confusion/diffusion…

Cryptography and Security · Computer Science 2014-11-24 Viet Tung Hoang , Ben Morris , Phillip Rogaway

This paper presents a perfectly secure matrix multiplication (PSMM) protocol for multiparty computation (MPC) of $\mathrm{A}^{\top}\mathrm{B}$ over finite fields. The proposed scheme guarantees correctness and information-theoretic privacy…

Information Theory · Computer Science 2026-01-16 Zixuan He , Mohammad Reza Deylam Salehi , Derya Malak , Photios A. Stavrou

The paper study counter-dependent pseudorandom generators; the latter are generators such that their state transition function (and output function) is being modified dynamically while working: For such a generator the recurrence sequence…

Cryptography and Security · Computer Science 2011-11-15 Vladimir Anashin

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

Anomaly detection underpins critical applications from network security and intrusion detection to fraud prevention, where recognizing aberrant patterns rapidly is indispensable. Progress in this area is routinely impeded by two obstacles:…

Machine Learning · Computer Science 2025-09-09 Jiaju Miao , Wei Zhu

In this paper, the authors give the definitions of a coprime sequence and a lever function, and describe the five algorithms and six characteristics of a prototypal public key cryptosystem which is used for encryption and signature, and…

Cryptography and Security · Computer Science 2014-11-04 Shenghui Su , Shuwang Lv

Binarized Neural Networks (BNNs) are a class of deep neural networks designed to utilize minimal computational resources, which drives their popularity across various applications. Recent studies highlight the potential of mapping BNN model…

Cryptography and Security · Computer Science 2025-10-28 Gokulnath Rajendran , Suman Deb , Anupam Chattopadhyay

We present here a new family of trapdoor one-way Preimage Sampleable Functions (PSF) based on codes, the Wave-PSF family. The trapdoor function is one-way under two computational assumptions: the hardness of generic decoding for high…

Cryptography and Security · Computer Science 2019-04-29 Thomas Debris-Alazard , Nicolas Sendrier , Jean-Pierre Tillich

In this work, we propose a new way to (non-interactively, verifiably) demonstrate quantum advantage by solving the average-case $\mathsf{NP}$ search problem of finding a solution to a system of (underdetermined) constant degree multivariate…

Quantum Physics · Physics 2025-09-10 Pierre Briaud , Itai Dinur , Riddhi Ghosal , Aayush Jain , Paul Lou , Amit Sahai