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# Research
DarkFi maintains a public resource of zero-knowledge and math research
in the [script/research](../../../script/research) directory of
in the [script/research](https://github.com/darkrenaissance/darkfi/tree/master/script/research) directory of
the repo.
It features simple sage implementations of zero-knowledge algorithms
and math primitives, including but not limited to:
* [Halo](../../../script/research/halo/halo)
* [Groth16](../../../script/research/groth16)
* [Poseidon hash](../../../script/research/poseidon)
* [Bulletproofs](../../../script/research/bltprf)
* [RSA accumulators](../../script/research/rsa_accum.sage)
* [Finite fields](../../script/research/finite_fields)
* [ZK](https://github.com/darkrenaissance/darkfi/tree/master/script/research/zk)
* [bootle16](https://github.com/darkrenaissance/darkfi/blob/master/script/research/zk/bootle16.py)
(precursor to sonic)
* [sonic](https://github.com/darkrenaissance/darkfi/blob/master/script/research/zk/sonic.sage)
* [plonk](https://github.com/darkrenaissance/darkfi/blob/master/script/research/zk/plonk.sage)
* [halo1](https://github.com/darkrenaissance/darkfi/blob/master/script/research/zk/halo1.sage) and
[halo2](https://github.com/darkrenaissance/darkfi/blob/master/script/research/zk/halo2.sage)
* [curve trees](https://github.com/darkrenaissance/darkfi/blob/master/script/research/zk/curve_tree.sage)
* [FFT](https://github.com/darkrenaissance/darkfi/tree/master/script/research/zk/fft)
* [groth16](https://github.com/darkrenaissance/darkfi/tree/master/script/research/zk/groth16)
* [bulletproofs](https://github.com/darkrenaissance/darkfi/tree/master/script/research/zk/bltprf)
* [Poseidon hash](https://github.com/darkrenaissance/darkfi/tree/master/script/research/poseidon)
* [x3dh](https://github.com/darkrenaissance/darkfi/tree/master/script/research/x3dh)
double ratchet algorithm used in signal.
* [Various EC math](https://github.com/darkrenaissance/darkfi/tree/master/script/research/ec)
such as valuations, riemann-roch basis, hyperelliptic curves, divisor reduction.