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In this paper we investigate weak keys of universal hash functions (UHFs) from their combinatorial properties. We find that any UHF has a general class of keys, which makes the combinatorial propertie...
Universal hash functions (UHFs) have been extensively used in the design of cryptographic schemes. If we consider the related-key attack against these UHF-based schemes, some of them may not be secure...
A linear near-threshold secret sharing scheme with both linear time sharing and reconstruction algorithms and large secrets (i.e. secrets of size Ω(n)). Thus, the computational overhead per sh...
Message authentication codes usually require the underlining universal hash functions to have a long output so that the probability of successfully forging messages is low enough for cryptographic pur...
Using combinatorial analysis, we introduce a new lower bound for the key length in an almost universal hash function, which is tighter than another similar bound derived from an well-studied equival...
We present several constructions of tweakable enciphering schemes which use a single encryption layer between two layers of universal hash function computation. The earliest known construction of th...

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