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Quantum Hashing via Classical $\epsilon$-universal Hashing Constructions

, 2014
In the paper, we define the concept of the quantum hash generator and offer design, which allows to build a large amount of different quantum hash functions. The construction is based on composition of classical $\epsilon$-universal hash family and a given family of functions -- quantum hash generator.
Ablayev, Farid, Ablayev, Marat
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The power of primes: security of authentication based on a universal hash-function family [PDF]

, 2010
Basel Alomair, Clark Andrew, Radha Poovendran +2 more
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Separating hash families with large universe

Journal of Combinatorial Theory, Series A
Separating hash families are useful combinatorial structures which generalize several well-studied objects in cryptography and coding theory. Let $p_t(N, q)$ denote the maximum size of universe for a $t$-perfect hash family of length $N$ over an alphabet of size $q$. In this paper, we show that $q^{2-o(1)}
Xin Wei, Xiande Zhang, Gennian Ge
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Short-Output Universal Hash Functions and Their Use in Fast and Secure Data Authentication [PDF]

, 2012
Long Nguyen, A. W. Roscoe
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A Composition Theorem for Universal One-Way Hash Functions [PDF]

, 2000
Victor Shoup
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Universal one-way hash functions and their cryptographic applications [PDF]

, 1989
Moni Naor, Moti Yung
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ForestDSH: A Universal Hash Design for Discrete Probability\n Distributions [PDF]