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        "description": "[![Build Status](https://travis-ci.com/KZen-networks/multi-party-schnorr.svg?branch=master)](https://travis-ci.com/KZen-networks/multi-party-schnorr)\n[![License: GPL v3](https://img.shields.io/badge/License-GPL%20v3-blue.svg)](https://www.gnu.org/licenses/gpl-3.0)\n\nMulti Party Schnorr Signatures (python extension)\n=====================================\n* Aggregated Signatures:  {n,n} scheme based on [simple_schnorr_multi_signatures_with_applications_to_bitcoin](https://github.com/KZen-networks/multi-party-schnorr/blob/master/papers/simple_schnorr_multi_signatures_with_applications_to_bitcoin.pdf) and the scheme for discrete-logs (section 5) from [compact_multi_signatures_for_smaller_blockchains](https://github.com/KZen-networks/multi-party-schnorr/blob/master/papers/compact_multi_signatures_for_smaller_blockchains.pdf) \n* not implement ~~Multi-signature scheme based on Micali-Ohta-Reyzin: [Accountable-Subgroup Multisignatures](https://github.com/KZen-networks/multi-party-schnorr/blob/master/papers/accountable_subgroups_multisignatures.pdf). This code is being used currently for [2p-Schnorr key management](https://github.com/KZen-networks/kms-secp256k1 ).~~\n* Threshold Schnorr scheme based on [provably secure distributed schnorr signatures and a {t,n} threshold scheme](https://github.com/KZen-networks/multi-party-schnorr/blob/master/papers/provably_secure_distributed_schnorr_signatures_and_a_threshold_scheme.pdf). For more efficient implementation we used the DKG from [Fast Multiparty Threshold ECDSA with Fast Trustless Setup](http://stevengoldfeder.com/papers/GG18.pdf). The cost is robustness: if there is a malicious party out of the n parties in DKG the protocol stops and if there is a malicious party out of the t parties used for signing the signature protocol will stop.\n* The implementations aim to be [_bip-schnorr_](https://github.com/sipa/bips/blob/bip-schnorr/bip-schnorr.mediawiki) compliant.\n\n* [Paper List](https://github.com/KZen-networks/multi-party-schnorr/tree/master/papers), [Wiki](https://github.com/KZen-networks/multisig-schnorr/wiki).\n\n**Disclaimers**: \n\n(1) This code should not be used for production at the moment.\n\n(2) This code is not secure against side-channel attacks\n\n(3) The code do not contain a network layer (if you are interested, check [white-city](https://github.com/KZen-networks/white-city) for ongoing effort, contribtutions are welcome)\n\n\nGet Started\n=====================================\n\n[schnorr_bip_test_vector_2](https://github.com/KZen-networks/multi-party-schnorr/blob/master/src/protocols/aggsig/test.rs#L137)\n\n[schnorr_two_party_signing](https://github.com/KZen-networks/multi-party-schnorr/blob/master/src/protocols/aggsig/test.rs#L26)\n\n[threshold 3 out of 5 with 4 parties in signing](https://github.com/KZen-networks/multi-party-schnorr/blob/master/src/protocols/thresholdsig/test.rs#L61)\n\nInstall\n----\nPlease use python3.5 or more  \nInstall by pip `pip3 install --user multi-party-schnorr`  \nHow to use? please look at examples `*.py`  \nCannot use on windows? please read a [issue/39](https://github.com/KZen-networks/curv/issues/39)  \n\ncompressed key prefix\n----\n* `0x02, 0x03, 0x04` => for 1 of 1 single signature\n* `0x05, 0x06, 0x07` => for n of n aggregate signature\n* `0x08, 0x09, 0x0a` => for t of n threshold signature\n\nperformance\n----\ntype | secp256k1(~0.1.7) | libsecp256k1-rs(0.1.8) | emerald-city(0.1.9~) | test code link |\n------------------|-----------|----|--------|-------|\n1 of 1 aggregate | 112ms   |   3ms  | 1ms   |  [aggregate_1_of_1.py](https://github.com/namuyan/multi-party-schnorr/blob/master/aggregate_1_of_1.py) |\nn of n aggregate | 458ms   |   7ms  | 3ms   | [aggregate_n_of_n.py](https://github.com/namuyan/multi-party-schnorr/blob/master/aggregate_n_of_n.py)  |\nt of n threshold | 2475ms   |  68ms | 33ms  | [thresholdbig_t_of_n.py](https://github.com/namuyan/multi-party-schnorr/blob/master/thresholdbig_t_of_n.py) |\n\nDevelopment Process\n-------------------\nThis contribution workflow is described in [CONTRIBUTING.md](CONTRIBUTING.md).\n\nContact\n-------------------\nFeel free to [reach out](mailto:github@kzencorp.com) or join the KZen Research [Telegram]( https://t.me/kzen_research) for discussions on code and research.\n\nLicense\n-------\nThe library is released under the terms of the GPL-3.0 license. See [LICENSE](LICENSE) for more information.\n\n\n",
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