Understand restrictions in bloomfilter length

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While reading Options for encoding names for data linking at the Australian Bureau of Statistics I came across this note regarding restrictions on the bloom filter's modulus:

In particular note:

m must be prime.

Following the reference in Bloom filters in probabilistic verification is this note suggesting that a power of 2 is also an option:

cc: @wilko77

Aha! Link: https://csiro.aha.io/features/ANONLINK-48