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We present two new constructions of quantum hash functions: the first based on expander graphs and the second based on extractor functions and estimate the amount of randomness that is needed to construct them. We also propose a keyed…

Quantum Physics · Physics 2016-06-02 Mansur Ziatdinov

Cryptographic hash functions play a central role in cryptography. Hash functions were introduced in cryptology to provide message integrity and authentication. MD5, SHA1 and RIPEMD are among the most commonly used message digest algorithm.…

Cryptography and Security · Computer Science 2010-03-09 Harshvardhan Tiwari , Dr. Krishna Asawa

Hash-based message authentication codes are an extremely simple yet hugely effective construction for producing keyed message digests using shared secrets. HMACs have seen widespread use as ad-hoc digital signatures in many Internet…

Cryptography and Security · Computer Science 2016-02-08 Boudhayan Gupta

We propose a hash function based on arithmetic coding and public-key cryptography. The resistance of the hash function to second preimage attack, collision and differential cryptanalysis is based on the properties of arithmetic coding as a…

Cryptography and Security · Computer Science 2015-03-17 Rene Ndoundam , Juvet Karnel Sadie , Patrick Nguening Nguembu

In this paper, we present a general review of hash functions in a cryptographic sense. We give special emphasis on some particular topics such as cipher block chaining message authentication code (CBC MAC) and its variants. This paper also…

Cryptography and Security · Computer Science 2007-05-23 Turker Ozsari

Minhashing is a technique used to estimate the Jaccard Index between two sets by exploiting the probability of collision in a random permutation. In order to speed up the computation, a random permutation can be approximated by using an…

Machine Learning · Computer Science 2014-01-25 Fabricio Olivetti de Franca

Cayley hash functions are based on a simple idea of using a pair of semigroup elements, A and B, to hash the 0 and 1 bit, respectively, and then to hash an arbitrary bit string in the natural way, by using multiplication of elements in the…

Cryptography and Security · Computer Science 2025-02-20 Vladimir Shpilrain

We consider the hash function $h(x) = ((ax+b) \bmod p) \bmod n$ where $a,b$ are chosen uniformly at random from $\{0,1,\ldots,p-1\}$. We prove that when we use $h(x)$ in hashing with chaining to insert $n$ elements into a table of size $n$…

Data Structures and Algorithms · Computer Science 2017-06-12 Mathias Bæk Tejs Knudsen

Given a set $S$ of $n$ distinct keys, a function $f$ that bijectively maps the keys of $S$ into the range $\{0,\ldots,n-1\}$ is called a minimal perfect hash function for $S$. Algorithms that find such functions when $n$ is large and retain…

Data Structures and Algorithms · Computer Science 2022-02-08 Giulio Ermanno Pibiri , Roberto Trani

Cryptographic hash functions from expander graphs were proposed by Charles, Goren, and Lauter in [CGL] based on the hardness of finding paths in the graph. In this paper, we propose a new candidate for a hash function based on the hardness…

Cryptography and Security · Computer Science 2021-11-30 Elena Fuchs , Kristin Lauter , Matthew Litman , Austin Tran

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

Since many applications and services require pseudorandom numbers (PRNs), it is feasible to generate specific PRNs under given key values and input messages using Key Derivation Functions (KDFs). These KDFs are primarily constructed based…

Cryptography and Security · Computer Science 2026-02-12 Abel C. H. Chen

Cryptographic hash functions for calculating the message digest of a message has been in practical use as an effective measure to maintain message integrity since a few decades. This message digest is unique, irreversible and avoids all…

Cryptography and Security · Computer Science 2010-03-31 Rakesh Mohanty , Niharjyoti Sarangi , Sukant kumar Bishi

Charles, Goren, and Lauter [J. Cryptology 22(1), 2009] explained how one can construct hash functions using expander graphs in which it is hard to find paths between specified vertices. The set of solutions to the classical Markoff equation…

Number Theory · Mathematics 2023-12-20 Joseph H. Silverman

A method is presented for producing analytical results applicable to the standard two-party deterministic dense coding protocol, wherein communication of K perfectly distinguishable messages is attainable with the aid of K selected local…

Quantum Physics · Physics 2015-05-13 E. Gerjuoy , H. T. Williams , P. S. Bourdon

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

Recent advances in random linear systems on finite fields have paved the way for the construction of constant-time data structures representing static functions and minimal perfect hash functions using less space with respect to existing…

Data Structures and Algorithms · Computer Science 2016-03-24 Marco Genuzio , Giuseppe Ottaviano , Sebastiano Vigna

A homomorphic, or incremental, multiset hash function, associates a hash value to arbitrary collections of objects (with possible repetitions) in such a way that the hash of the union of two collections is easy to compute from the hashes of…

Cryptography and Security · Computer Science 2016-01-26 Jeremy Maitin-Shepard , Mehdi Tibouchi , Diego Aranha

The hashing trick is a machine learning technique used to encode categorical features into a numerical vector representation of pre-defined fixed length. It works by using the categorical hash values as vector indices, and updating the…

Machine Learning · Computer Science 2021-02-09 M. Andrecut

Perfect hash functions can potentially be used to compress data in connection with a variety of data management tasks. Though there has been considerable work on how to construct good perfect hash functions, there is a gap between theory…

Data Structures and Algorithms · Computer Science 2007-05-23 Fabiano C. Botelho , Rasmus Pagh , Nivio Ziviani
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