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Consistent Hashing functions are widely used for load balancing across a variety of applications. However, the original presentation and typical implementations of Consistent Hashing rely on randomised allocation of hash codes to keys which…

Data Structures and Algorithms · Computer Science 2015-03-19 Matthew Sackman

A minimal perfect hash function (MPHF) maps a set of n keys to unique positions {1, ..., n}. Representing an MPHF requires at least 1.44 bits per key. ShockHash is a technique to construct an MPHF and requires just slightly more space. It…

Data Structures and Algorithms · Computer Science 2025-07-03 Stefan Hermann

We consider space efficient hash tables that can grow and shrink dynamically and are always highly space efficient, i.e., their space consumption is always close to the lower bound even while growing and when taking into account storage…

Data Structures and Algorithms · Computer Science 2017-05-03 Tobias Maier , Peter Sanders

It is shown that for cuckoo hashing with a stash as proposed by Kirsch, Mitzenmacher, and Wieder (2008) families of very simple hash functions can be used, maintaining the favorable performance guarantees: with stash size $s$ the…

Data Structures and Algorithms · Computer Science 2012-04-20 Martin Aumüller , Martin Dietzfelbinger , Philipp Woelfel

Cuckoo hashing [4] is a multiple choice hashing scheme in which each item can be placed in multiple locations, and collisions are resolved by moving items to their alternative locations. In the classical implementation of two-way cuckoo…

Data Structures and Algorithms · Computer Science 2011-11-16 Ely Porat , Bar Shalem

Cuckoo filters are space-efficient approximate set membership data structures with a controllable false positive rate (FPR) and zero false negatives, similar to Bloom filters. In contrast to Bloom filters, Cuckoo filters store multi-bit…

Data Structures and Algorithms · Computer Science 2025-09-10 Johanna Elena Schmitz , Jens Zentgraf , Sven Rahmann

A Monotone Minimal Perfect Hash Function (MMPHF) constructed on a set S of keys is a function that maps each key in S to its rank. On keys not in S, the function returns an arbitrary value. Applications range from databases, search engines,…

Data Structures and Algorithms · Computer Science 2023-08-31 Paolo Ferragina , Hans-Peter Lehmann , Peter Sanders , Giorgio Vinciguerra

Cuckoo hashing with a stash is a robust multiple choice hashing scheme with high memory utilization that can be used in many network device applications. Unfortunately, for memory loads beyond 0.5, little is known on its performance. In…

Data Structures and Algorithms · Computer Science 2011-08-10 Yossi Kanizo , David Hay , Isaac Keslassy

The paradigm of many choices has influenced significantly the design of efficient data structures and, most notably, hash tables. Cuckoo hashing is a technique that extends this concept. There,we are given a table with $n$ locations, and we…

Data Structures and Algorithms · Computer Science 2009-10-28 Nikolaos Fountoulakis , Konstantinos Panagiotou

On the GPU, hash table operation speed is determined in large part by cache line efficiency, and state-of-the-art hashing schemes thus divide tables into cache line-sized buckets. This raises the question whether performance can be further…

Data Structures and Algorithms · Computer Science 2024-06-14 Steef Hegeman , Daan Wöltgens , Anton Wijs , Alfons Laarman

A minimal perfect hash function bijectively maps a key set $S$ out of a universe $U$ into the first $|S|$ natural numbers. Minimal perfect hash functions are used, for example, to map irregularly-shaped keys, such as string, in a compact…

Data Structures and Algorithms · Computer Science 2019-12-03 Emmanuel Esposito , Thomas Mueller Graf , Sebastiano Vigna

Hashing has been widely used for efficient similarity search based on its query and storage efficiency. To obtain better precision, most studies focus on designing different objective functions with different constraints or penalty terms…

Data Structures and Algorithms · Computer Science 2018-10-02 Xingbo Liu , Xiushan Nie , Yilong Yin

Random hashing can provide guarantees regarding the performance of data structures such as hash tables---even in an adversarial setting. Many existing families of hash functions are universal: given two data objects, the probability that…

Data Structures and Algorithms · Computer Science 2018-10-16 Dmytro Ivanchykhin , Sergey Ignatchenko , Daniel Lemire

Consistent hashing (CH) has been pivotal as a data router and load balancer in diverse fields, including distributed databases, cloud infrastructure, and peer-to-peer networks. However, existing CH algorithms often fall short in…

Data Structures and Algorithms · Computer Science 2023-11-21 Chao Dong , Fang Wang , Dan Feng

Consistent hashing is a technique for distributing data across a network of nodes in a way that minimizes reorganization when nodes join or leave the network. It is extensively applied in modern distributed systems as a fundamental…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-18 Massimo Coluzzi , Amos Brocco , Alessandro Antonucci , Tiziano Leidi

cryptographic hash function is a deterministic procedure that compresses an arbitrary block of numerical data and returns a fixed-size bit string. There exist many hash functions: MD5, HAVAL, SHA, ... It was reported that these hash…

Cryptography and Security · Computer Science 2011-11-23 Rene Ndoundam , Juvet Karnel Sadie

A dictionary (or map) is a key-value store that requires all keys be unique, and a multimap is a key-value store that allows for multiple values to be associated with the same key. We design hashing-based indexing schemes for dictionaries…

Data Structures and Algorithms · Computer Science 2011-07-25 Michael T. Goodrich , Daniel S. Hirschberg , Michael Mitzenmacher , Justin Thaler

Cuckoo hashing is a common hashing technique, guaranteeing constant-time lookups in the worst case. Adding a stash was proposed by Kirsch, Mitzenmacher, and Wieder at SICOMP 2010, as a way to reduce the probability of failure (i.e., the…

Data Structures and Algorithms · Computer Science 2023-01-03 Brice Minaud , Charalampos Papamanthou

Cuckoo hashing guarantees constant-time lookups regardless of table density, making it a viable candidate for high-density tables. Cuckoo hashing insertions perform poorly at high table densities, however. In this paper, we mitigate this…

Data Structures and Algorithms · Computer Science 2016-05-18 William Kuszmaul

The focus of this work is \emph{hardness-preserving} transformations of somewhat limited pseudorandom functions families (PRFs) into ones with more versatile characteristics. Consider the problem of \emph{domain extension} of pseudorandom…

Cryptography and Security · Computer Science 2021-05-05 Itay Berman , Iftach Haitner , Ilan Komargodski , Moni Naor