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Given a set S of n keys, a k-perfect hash function (kPHF) is a data structure that maps the keys to the first m integers, where each output integer can be hit by at most k input keys. When m=n/k, the resulting function is called a minimal…

Data Structures and Algorithms · Computer Science 2025-07-03 Stefan Hermann , Sebastian Kirmayer , Hans-Peter Lehmann , Peter Sanders , Stefan Walzer

Property-preserving hash functions allow for compressing long inputs $x_0$ and $x_1$ into short hashes $h(x_0)$ and $h(x_1)$ in a manner that allows for computing a predicate $P(x_0, x_1)$ given only the two hash values without having…

Cryptography and Security · Computer Science 2021-06-14 Nils Fleischhacker , Kasper Green Larsen , and Mark Simkin

In this paper, we introduce the concept of dual universality of hash functions and present its applications to quantum cryptography. We begin by establishing the one-to-one correspondence between a linear function family {\cal F} and a code…

Quantum Physics · Physics 2013-07-18 Toyohiro Tsurumaru , Masahito Hayashi

Universal identifiers and hashing have been widely adopted in computer science from distributed financial transactions to data science. This is a consequence of their capability to avoid many shortcomings of relative identifiers, such as…

Data Structures and Algorithms · Computer Science 2021-09-14 Davi Pereira-Santos , Gabriel Dalforno , André C. P. L. F. Carvalho

The classic way of computing a $k$-universal hash function is to use a random degree-$(k-1)$ polynomial over a prime field $\mathbb Z_p$. For a fast computation of the polynomial, the prime $p$ is often chosen as a Mersenne prime $p=2^b-1$.…

Data Structures and Algorithms · Computer Science 2021-05-07 Thomas Dybdahl Ahle , Jakob Tejs Bæk Knudsen , Mikkel Thorup

Hash functions are cryptographic tools, which are notably involved in integrity checking and password storage. They are of primary importance to improve the security of exchanges through the Internet. However, as security flaws have been…

Cryptography and Security · Computer Science 2016-08-23 Jacques M. Bahi , Jean-François Couchot , Christophe Guyeux

Given a specified average load factor, hash tables offer the appeal of constant time lookup operations. However, hash tables could face severe hash collisions because of malicious attacks, buggy applications, or even bursts of incoming…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-02 Junchang Wang , Xiong Fu , Fu Xiao , Chen Tian

Existing unsupervised hash learning is a kind of attribute-centered calculation. It may not accurately preserve the similarity between data. This leads to low down the performance of hash function learning. In this paper, a hash algorithm…

Machine Learning · Computer Science 2022-06-07 Shichao Zhang , Jiaye Li

The probability Jaccard similarity was recently proposed as a natural generalization of the Jaccard similarity to measure the proximity of sets whose elements are associated with relative frequencies or probabilities. In combination with a…

Data Structures and Algorithms · Computer Science 2020-10-27 Otmar Ertl

Supervised hashing aims to map the original features to compact binary codes that are able to preserve label based similarity in the Hamming space. Non-linear hash functions have demonstrated the advantage over linear ones due to their…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Guosheng Lin , Chunhua Shen , Qinfeng Shi , Anton van den Hengel , David Suter

In this work, we present novel protocols over rings for semi-honest secure three-party computation (3PC) and malicious four-party computation (4PC) with one corruption. While most existing works focus on improving total communication…

Cryptography and Security · Computer Science 2025-05-22 Christopher Harth-Kitzerow , Ajith Suresh , Yongqin Wang , Hossein Yalame , Georg Carle , Murali Annavaram

Memory-hard functions (MHF) are functions whose evaluation cost is dominated by memory cost. MHFs are egalitarian, in the sense that evaluating them on dedicated hardware (like FPGAs or ASICs) is not much cheaper than on off-the-shelf…

Cryptography and Security · Computer Science 2017-07-11 Joel Alwen , Jeremiah Blocki , Krzysztof Pietrzak

Scalable ordered maps must ensure that range queries, which operate over many consecutive keys, provide intuitive semantics (e.g., linearizability) without degrading the performance of concurrent insertions and removals. These goals are…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-11 Matthew Rodriguez , Vitaly Aksenov , Michael Spear

A standard design pattern found in many concurrent data structures, such as hash tables or ordered containers, is alternation of parallelizable sections that incur no data conflicts and critical sections that must run sequentially and are…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-13 Vitaly Aksenov , Daniil Bolotov , Petr Kuznetsov

In this paper, we propose a novel hash learning approach that has the following main distinguishing features, when compared to past frameworks. First, the codewords are utilized in the Hamming space as ancillary techniques to accomplish its…

Machine Learning · Computer Science 2019-02-26 Yinjie Huang , Michael Georgiopoulos , Georgios C. Anagnostopoulos

Hashmap is a fundamental data structure in computer science. There has been extensive research on constructing hashmaps that minimize the number of collisions leading to efficient lookup query time. Recently, the data-dependant approaches,…

Data Structures and Algorithms · Computer Science 2024-04-16 Abolfazl Asudeh , Nima Shahbazi , Stavros Sintos

Introduction. Distributed data processing and storage systems require efficient methods to distribute keys across buckets. While simple and fast, the traditional modulo-based mapping is unstable when the number of buckets changes, leading…

Data Structures and Algorithms · Computer Science 2025-11-11 Otmar Ertl

We present here new mechanisms for hashing data via binary embeddings. Contrary to most of the techniques presented before, the embedding matrix of our mechanism is highly structured. That enables us to perform hashing more efficiently and…

Data Structures and Algorithms · Computer Science 2015-05-14 Krzysztof Choromanski

Typical retrieval systems have three requirements: a) Accurate retrieval i.e., the method should have high precision, b) Diverse retrieval, i.e., the obtained set of points should be diverse, c) Retrieval time should be small. However, most…

Information Retrieval · Computer Science 2020-08-25 Vidyadhar Rao , Prateek Jain , C. V Jawahar

Memory-Hard Functions (MHF) are a useful cryptographic primitive to build egalitarian proofs-of-work and to help protect low entropy secrets (e.g., user passwords) against brute-forces attacks. Ideally, we would like for a MHF to have the…

Cryptography and Security · Computer Science 2025-08-12 Jeremiah Blocki , Blake Holman