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hash functions, the bloom filter can be tuned, varying the level of accuracy and therefore privacy. In the example below, we use a very small array of 16 bits and a set of 3 hash functions to demonstrate how bloom filters work. Figure 6-8. An example of a simplistic bloom filter, with 16 bit field and 3 hash func‐ tions The bloom filter is initialized so that the array of bits is all zeros. To add a pattern to the bloom filter, the pattern is hashed by each hash function in turn. Applying the first hash function to the input results in a number between 1 and N. The corresponding bit in the array (indexed from 1 to N) is found and set to 1, thereby recording the output of the hash function. Then, the next hash function is used to set another bit and so on and so forth. Once all M hash functions have been applied, the search pattern will be “re‐ corded” in the bloom filter as M bits have been changed from 0 to 1. Here’s an example of adding a pattern “A” to the simple bloom filter shown above: Bloom Filters | 155PDF Image | Mastering Bitcoin
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