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We address the problem of detecting deviations of binary sequence from randomness,which is very important for random number (RNG) and pseudorandom number generators (PRNG). Namely, we consider a null hypothesis $H_0$ that a given bit…

Information Theory · Computer Science 2007-07-13 B. Ya. Ryabko , V. A. Monarev

Reducing the conditions under which a given set satisfies the stipulations of the subset sum proposition to a set of linear relationships, the question of whether a set satisfies subset sum may be answered in a polynomial number of steps by…

Data Structures and Algorithms · Computer Science 2017-05-16 Aubrey Alston

Pseudo-random number generators (PRNGs) are widely used in modern computing and are expected to exhibit excellent statistical performance and repeatability. This study evaluates and compares modern PRNGs used in high performance computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Théau Wartel , David R. C. Hill

A randomized algorithm for a search problem is *pseudodeterministic* if it produces a fixed canonical solution to the search problem with high probability. In their seminal work on the topic, Gat and Goldwasser posed as their main open…

Computational Complexity · Computer Science 2025-12-05 Lijie Chen , Zhenjian Lu , Igor C. Oliveira , Hanlin Ren , Rahul Santhanam

Advanced persistent threats (APT) are stealthy cyber-attacks that are aimed at stealing valuable information from target organizations and tend to extend in time. Blocking all APTs is impossible, security experts caution, hence the…

Cryptography and Security · Computer Science 2021-05-24 Sidahmed Benabderrahmane , Ghita Berrada , James Cheney , Petko Valtchev

This paper, for the first time, addresses the questions related to the connections between the quantum pseudorandomness and quantum hardware assumptions, specifically quantum physical unclonable functions (qPUFs). Our results show that the…

Quantum Physics · Physics 2022-03-31 Mina Doosti , Niraj Kumar , Elham Kashefi , Kaushik Chakraborty

Physical unclonable functions (PUFs) are relatively new security primitives used for device authentication and device-specific secret key generation. In this paper we focus on SRAM-PUFs. The SRAM-PUFs enjoy uniqueness and randomness…

Information Theory · Computer Science 2018-05-03 Bin Chen , Tanya Ignatenko , Frans M. J. Willems , Roel Maes , Erik van der Sluis , Georgios Selimis

We consider the hashing mechanism for constructing binary embeddings, that involves pseudo-random projections followed by nonlinear (sign function) mappings. The pseudo-random projection is described by a matrix, where not all entries are…

Machine Learning · Computer Science 2016-07-04 Anna Choromanska , Krzysztof Choromanski , Mariusz Bojarski , Tony Jebara , Sanjiv Kumar , Yann LeCun

Algorithms that rely on a pseudorandom number generator often lose their performance guarantees when adversaries can predict the behavior of the generator. To protect non-cryptographic applications against such attacks, we propose 'strong'…

Cryptography and Security · Computer Science 2018-10-05 Jan Wassenberg , Robert Obryk , Jyrki Alakuijala , Emmanuel Mogenet

We prove new results on the polarizing random walk framework introduced in recent works of Chattopadhyay {et al.} [CHHL19,CHLT19] that exploit $L_1$ Fourier tail bounds for classes of Boolean functions to construct pseudorandom generators…

Computational Complexity · Computer Science 2020-11-10 Eshan Chattopadhyay , Jason Gaitonde , Chin Ho Lee , Shachar Lovett , Abhishek Shetty

In modern software ecosystems, 1-day vulnerabilities pose significant security risks due to extensive code reuse. Identifying vulnerable functions in target binaries alone is insufficient; it is also crucial to determine whether these…

Software Engineering · Computer Science 2025-11-04 Siyuan Li , Yaowen Zheng , Hong Li , Jingdong Guo , Chaopeng Dong , Chunpeng Yan , Weijie Wang , Yimo Ren , Limin Sun , Hongsong Zhu

It is recently conjectured in quantum information processing that phase-shift errors occur with high probability than qubit-flip errors, hence the former is more disturbing to quantum information than the later one. This leads us to…

Information Theory · Computer Science 2009-11-30 Salah A. Aly

Polygenic risk scores (PRSs) aggregate genetic effect estimates to predict disease susceptibility, yet clinical deployment often exposes raw genotype data to third-party compute infrastructure. Prior homomorphic-encryption approaches, still…

Genomics · Quantitative Biology 2026-05-22 Kimon Antonios Provatas , Christos Galanopoulos , Ilias Georgakopoulos-Soares

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

In this survey we summarize properties of pseudorandomness and non-randomness of some number-theoretic sequences and present results on their behaviour under the following measures of pseudorandomness: balance, linear complexity,…

Number Theory · Mathematics 2023-05-22 Arne Winterhof

Constrained codes are used to prevent errors from occurring in various data storage and data transmission systems. They can help in increasing the storage density of magnetic storage devices, in managing the lifetime of electronic storage…

Information Theory · Computer Science 2022-09-07 Ahmed Hareedy , Beyza Dabak , Robert Calderbank

Although Retrieval-Augmented Generation (RAG) systems have been widely applied, the privacy and security risks they face, such as data leakage and data poisoning, have not been systematically addressed yet. Existing defense strategies…

Cryptography and Security · Computer Science 2025-08-05 Pengcheng Zhou , Yinglun Feng , Zhongliang Yang

This paper investigates the impact of the changes of the characteristic polynomials and initial loadings, on behaviour of aliasing errors of parallel signature analyzer (Multi-Input Shift Register), used in an LFSR based digital circuit…

Hardware Architecture · Computer Science 2011-02-07 A. Ahmad

Analyzing and reasoning about safety properties of software systems becomes an especially challenging task for programs with complex flow and, in particular, with loops or recursion. For such programs one needs additional information, for…

Symbolic Computation · Computer Science 2017-05-12 Andreas Humenberger , Maximilian Jaroschek , Laura Kovács

Goldreich suggested candidates of one-way functions and pseudorandom generators included in $\mathsf{NC}^0$. It is known that randomly generated Goldreich's generator using $(r-1)$-wise independent predicates with $n$ input variables and…

Cryptography and Security · Computer Science 2014-06-03 Ryuhei Mori , Takeshi Koshiba , Osamu Watanabe , Masaki Yamamoto
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