# High Performance Construction of RecSplit Based Minimal Perfect Hash Functions

## Abstract

A minimal perfect hash function (MPHF) bijectively maps a set S of objects to the first |S| integers. It can be used as a building block in databases and data compression. RecSplit [Espos- ito et al., ALENEX’20] is currently the most space efficient practical minimal perfect hash function. It heavily relies on trying out hash functions in a brute force way. We introduce rotation fitting, a new technique that makes the search more efficient by drastically reducing the number of tried hash functions. Additionally, we greatly improve the construction time of RecSplit by harnessing parallelism on the level of bits, vectors, cores, and GPUs. In combination, the resulting improvements yield speedups up to 239 on an 8-core CPU and up to 5438 using a GPU. The original single-threaded RecSplit implementation needs 1.5 hours to construct an MPHF for 5 Million objects with 1.56 bits per object. On the GPU, we achieve the same space usage in just 5 seconds. Given that the speedups are larger than the increase in energy consumption, our implementation is more energy efficient than the original implementation.

## BibTeX

```
@inproceedings{Kurpicz2023ESA,
author = {Dominik Bez and Florian Kurpicz and Hans-Peter Lehmann and Peter Sanders},
title = {High Performance Construction of RecSplit Based Minimal Perfect Hash Functions},
booktitle = {ESA},
series = {LIPIcs},
volume = {274},
pages = {19:1--19:16},
publisher = {Schloss Dagstuhl - Leibniz-Zentrum f{"{u}}r Informatik},
doi = {10.4230/LIPIcs.ESA.2023.74},
year = {2023}
}
```