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The reciprocal function, 1/x, is important for many real-time algorithms. It is used in a large variety of algorithms from areas ranging from iterative estimation to machine learning. Many of these algorithms are iterative in nature and…

Signal Processing · Electrical Eng. & Systems 2020-07-14 Michael Lunglmayr , Oliver Ploder

A minimal perfect hash function (MPHF) bijectively maps a set S of objects to the first |S| integers. It can be used as a building block in databases and data compression. RecSplit [Esposito et al., ALENEX'20] is currently the most space…

Data Structures and Algorithms · Computer Science 2023-07-06 Dominik Bez , Florian Kurpicz , Hans-Peter Lehmann , Peter Sanders

Randomness extraction is an essential post-processing step in practical quantum cryptography systems. When statistical fluctuations are taken into consideration, the requirement of large input data size could heavily penalise the speed and…

Quantum Physics · Physics 2024-04-09 Hong Jie Ng , Wen Yu Kon , Ignatius William Primaatmaja , Chao Wang , Charles Lim

Hash tables are ubiquitous in computer science for efficient access to large datasets. However, there is always a need for approaches that offer compact memory utilisation without substantial degradation of lookup performance. Cuckoo…

Data Structures and Algorithms · Computer Science 2019-07-17 Megha Khosla , Avishek Anand

We introduce the Romu family of pseudo-random number generators (PRNGs) which combines the nonlinear operation of rotation with the linear operations of multiplication and (optionally) addition. Compared to conventional linear-only PRNGs,…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-27 Mark A. Overton

Lightweight hash functions have become important building blocks for security in embedded and IoT systems. A plethora of algorithms have been proposed and standardized, providing a wide range of performance trade-off options for developers…

Cryptography and Security · Computer Science 2025-08-12 Mohsin Khan , Dag Johansen , Håvard Dagenborg

Conventional random number generators provide the speed but not necessarily the high quality output streams needed for large-scale stochastic simulations. Cryptographically-based generators, on the other hand, provide superior quality…

Numerical Analysis · Mathematics 2013-07-17 William K. Cochran , Michael T. Heath , Kyle W. McKiou

We give three new algorithms for efficient in-place estimation, without using ancilla qubits, of average fidelity of a quantum logic gate acting on a d-dimensional system using much fewer random bits than what was known so far. Previous…

Quantum Physics · Physics 2019-01-23 Aditya Nema , Pranab Sen

Universal hashing, discovered by Carter and Wegman in 1979, has many important applications in computer science. MMH$^*$, which was shown to be $\Delta$-universal by Halevi and Krawczyk in 1997, is a well-known universal hash function…

Cryptography and Security · Computer Science 2020-10-13 Khodakhast Bibak , Bruce M. Kapron , Venkatesh Srinivasan , László Tóth

Bloom Filter is an important probabilistic data structure to reduce memory consumption for membership filters. It is applied in diverse domains such as Computer Networking, Network Security and Privacy, IoT, Edge Computing, Cloud Computing,…

Data Structures and Algorithms · Computer Science 2021-09-09 Sabuzima Nayak , Ripon Patgiri

We show that a randomly chosen linear map over a finite field gives a good hash function in the $\ell_\infty$ sense. More concretely, consider a set $S \subset \mathbb{F}_q^n$ and a randomly chosen linear map $L : \mathbb{F}_q^n \to…

Combinatorics · Mathematics 2024-08-07 Manik Dhar , Zeev Dvir

Cryptography promises four information security objectives, namely, confidentiality, integrity, authenticity, and non-repudiation, to support trillions of transactions annually in the digital economy. Efficient digital signatures, ensuring…

Quantum Physics · Physics 2023-05-11 Hua-Lei Yin , Yao Fu , Chen-Long Li , Chen-Xun Weng , Bing-Hong Li , Jie Gu , Yu-Shuo Lu , Shan Huang , Zeng-Bing Chen

Accurate and tamper-resistant timestamps are essential for applications demanding verifiable chronological ordering, such as legal documentation and digital intellectual property protection. Classical timestamp protocols rely on…

Quantum Physics · Physics 2025-07-24 Ming-Yang Li , Chen-Xun Weng , Wen-Bo Liu , Mengya Zhu , Zeng-Bing Chen

Random hashing is a standard method to balance loads among nodes in Peer-to-Peer networks. However, hashing destroys locality properties of object keys, the critical properties to many applications, more specifically, those that require…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-04-30 Jakarin Chawachat , Jittat Fakcharoenphol

Security of information transmitted through the Internet is an international concern. This security is guaranteed by tools like hash functions. However, as security flaws have been recently identified in the current standard in this domain,…

Cryptography and Security · Computer Science 2015-03-19 Jacques M. Bahi , Jean-François Couchot , Christophe Guyeux

Randomized Hadamard Transforms (RHTs) have emerged as a computationally efficient alternative to the use of dense unstructured random matrices across a range of domains in computer science and machine learning. For several applications such…

Machine Learning · Computer Science 2022-03-04 Yeshwanth Cherapanamjeri , Jelani Nelson

Hash tables are an essential data-structure for numerous networking applications (e.g., connection tracking, firewalls, network address translators). Among these, cuckoo hash tables provide excellent performance by allowing lookups to be…

Networking and Internet Architecture · Computer Science 2017-12-29 Nicolas Le Scouarnec

We present a hybrid quantum-classical framework for simulating generic matrix functions more amenable to early fault-tolerant quantum hardware than standard quantum singular-value transformations. The method is based on randomization over…

Quantum Physics · Physics 2024-11-28 Allan Tosta , Thais de Lima Silva , Giancarlo Camilo , Leandro Aolita

We describe a variant of linear probing hash tables that never moves elements and thus supports referential integrity, i.e., pointers to elements remain valid while this element is in the hash table. This is achieved by the folklore method…

Data Structures and Algorithms · Computer Science 2018-08-15 Peter Sanders

The Leftover Hash Lemma states that the output of a two-universal hash function applied to an input with sufficiently high entropy is almost uniformly random. In its standard formulation, the lemma refers to a notion of randomness that is…

Quantum Physics · Physics 2011-06-14 Marco Tomamichel , Christian Schaffner , Adam Smith , Renato Renner
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