<h1 id="bloom-filters">Bloom Filters <a href="#bloom-filters" class="anchor">🔗</a></h1><p>Before we continue, let’s refresh our understanding of what Bloom filters are and how they work. A Bloom filter is a simple, space-efficient probabilistic data structure that allows us to quickly test whether an element is part of a set. Initialization is straightforward: we define a bit array of size $m$, initialized with all bits set to zero, and select $k$ independent hash functions. These hash functions don’t need to be cryptographically secure, just fast and reasonably uniform. To populate a Bloom filter, we perform the following steps:</p>
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