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The Keccak Code Package (kcp) provides the reference implementation for SHA3 and SHAKE hashing algorithms. CPython has vendored a copy of KCP since I added SHA3 in 3.6.
CPython 3.10 and newer require OpenSSL >= 1.1.1, which provide an optimized implementation of SHA3 and SHAKE on all platforms. The vast majority of users now use SHA3 from OpenSSL instead our _sha3 module with KCP. Both the KCP and _sha3 module are large. The KCP has 230kB of code. The _sha3 shared library is 390kB on Linux X86_64, stripped 90kB.
I would like to reduce the size of our bundled code. Since SHA3 and SHAKE are listed in hashlib.algorithms_guaranteed and OpenSSL is optional, we cannot just drop the _sha3 module. Instead I propose to replace the implementation with tiny_sha3 https://github.com/mjosaarinen/tiny_sha3 . The tiny implementation is 13 kB of code. The resulting _sha3 shared library is 69 kB (stripped 25 kB).
A Python build without OpenSSL bindings will have a working but slower SHA3 implementation.