June 14, 2023, 1:10 a.m. | Nils Fleischhacker, Kasper Green Larsen, Maciej Obremski, Mark Simkin

cs.CR updates on arXiv.org arxiv.org

In this work we study Invertible Bloom Lookup Tables (IBLTs) with small
failure probabilities. IBLTs are highly versatile data structures that have
found applications in set reconciliation protocols, error-correcting codes, and
even the design of advanced cryptographic primitives. For storing $n$ elements
and ensuring correctness with probability at least $1 - \delta$, existing IBLT
constructions require $\Omega(n(\frac{\log(1/\delta)}{\log(n)}+1))$ space and
they crucially rely on fully random hash functions.


We present new constructions of IBLTs that are simultaneously more space
efficient and …

advanced applications correctness data design error failure memory protocols randomness study tables work

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