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The Bloom filter provides fast approximate set membership while using littlememory. Engineers often use these filters to avoid slow operations such as diskor network accesses. As an alternative, a cuckoo filter may need less spacethan a Bloom filter and it is faster. Chazelle et al. proposed a generalizationof the Bloom filter called the Bloomier filter. Dietzfelbinger and Paghdescribed a variation on the Bloomier filter that can be used effectively forapproximate membership queries. It has never been tested empirically, to ourknowledge. We review an efficient implementation of their approach, which wecall the xor filter. We find that xor filters can be faster than Bloom andcuckoo filters while using less memory. We further show that a more compactversion of xor filters (xor+) can use even less space than highly compactalternatives (e.g., Golomb-compressed sequences) while providing speedscompetitive with Bloom filters.

Xor Filters: Faster and Smaller Than Bloom and Cuckoo Filters