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    "info": {
        "author": "Ryan Kung",
        "author_email": "ryankung@ieee.org",
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            "Development Status :: 5 - Production/Stable",
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            "Operating System :: OS Independent",
            "Programming Language :: Python :: 3.5",
            "Programming Language :: Python :: Implementation :: CPython",
            "Programming Language :: Python :: Implementation :: PyPy",
            "Topic :: Security :: Cryptography",
            "Topic :: Software Development",
            "Topic :: Software Development :: Libraries :: Python Modules"
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        "description": "Klefki\n===================\n\n[![travis](https://api.travis-ci.com/ZeroProphet/klefki.svg)](https://travis-ci.com/github/ZeroProphet/klefki)\n[![Maintenance](https://img.shields.io/badge/Maintained%3F-yes-green.svg)](https://GitHub.com/RyanKung/klefki/graphs/commit-activity)\n[![PyPI version klefki](https://badge.fury.io/py/klefki.svg)](https://pypi.python.org/pypi/klefki/)\n[![PyPI license](https://img.shields.io/pypi/l/klefki.svg)](https://pypi.python.org/pypi/klefki/)\n[![PyPI status](https://img.shields.io/pypi/status/klefki.svg)](https://pypi.python.org/pypi/klefki/)\n[![Generic badge](https://img.shields.io/badge/Document-passing-blue.svg)](https://zeroprophet.github.io/klefki/)\n\n![klefki](res/707Klefki.png)\n\n----------------------\n\n> Klefki (Japanese: \u30af\u30ec\u30c3\u30d5\u30a3 Cleffy) is a dual-type Steel/Fairy Pok\u00e9mon introduced in Generation VI. It is not known to evolve into or from any other Pok\u00e9mon.\n\n----------------------\n\n# TL; DR\n\n**Klefki is a playground for researching elliptic curve group based algorithms & applications, such as MPC, HE, ZKP, and Bitcoin/Ethereum. All data types & structures are based on mathematical defination of abstract algebra.**\n\n#### [Check the Document](https://ryankung.github.io/klefki)\n\n#### [Try it!](https://repl.it/@RyanKung/Klefki-Demo)\n\n\n#### For Installation (require python>=3.6):\n\n```shell\npip3 install klefki\n\nklefki shell\n```\n\nHave Fun!!!!\n\n## Elliptic Curve Group Example\n\n* Test pairing\n\n```python\nfrom klefki.curves.barreto_naehrig import bn128\n\nG1 = bn128.ECGBN128.G1\nG2 = bn128.ECGBN128.G2\nG = G1\ne = bn128.ECGBN128.e\n\none = bn128.BN128FP12.one()\np1 = e(G2, G1)\np2 = e(G2, G1 @ 2)\nassert p1 * p1 == p2\n```\n\n* Create Custom Groups\n\n```python\nimport klefki.const as const\nfrom klefki.algebra.fields import FiniteField\nfrom klefki.algebra.groups import EllipticCurveGroup\nfrom klefki.algebra.groups import EllipicCyclicSubgroup\nfrom klefki.curves.arith import short_weierstrass_form_curve_addition2\n\n\nclass FiniteFieldSecp256k1(FiniteField):\n    P = const.SECP256K1_P\n\n\nclass FiniteFieldCyclicSecp256k1(FiniteField):\n    P = const.SECP256K1_N\n\n\nclass EllipticCurveGroupSecp256k1(EllipticCurveGroup):\n    \"\"\"\n    y^2 = x^3 + A * x + B\n    \"\"\"\n\n    N = const.SECP256K1_N\n    A = const.SECP256K1_A\n    B = const.SECP256K1_B\n\n    def op(self, g):\n        field = self.id[0].__class__\n        x, y = short_weierstrass_form_curve_addition2(\n            self.x, self.y,\n            g.x, g.y,\n            field.zero(),\n            field.zero(),\n            field.zero(),\n            field(self.A),\n            field(self.B),\n            field\n        )\n        if x == y == field(0):\n            return self.__class__(0)\n        return self.__class__((x, y))\n\n```\n\n\n## ZKP Examples\n\n* Play with r1cs\n\n```python\nfrom klefki.zkp.r1cs import R1CS\nfrom functools import partial\n\n\n\n@R1CS.r1cs\ndef t(x):\n    y = x**3\n    return y + x + 5\n\n\ns = t.witness(3)\nassert R1CS.verify(s, *t.r1cs)\nassert s[2] == t(3)\n```\n\n\n## MPC Examples (SSSS/VSS)\n\n```\nfrom klefki.crypto.ssss import SSSS\nfrom klefki.const import SECP256K1_P as P\nfrom klefki.algebra.utils import randfield\nfrom klefki.algebra.meta import field\nimport random\n\n\ndef test_ssss():\n    F = field(P)\n    s = SSSS(F)\n    k = random.randint(1, 100)\n    n = k * 3\n    secret = randfield(F)\n\n    s.setup(secret, k, n)\n\n    assert s.decrypt([s.join() for _ in range(k-1)]) != secret\n    assert s.decrypt([s.join() for _ in range(k+1)]) == secret\n    assert s.decrypt([s.join() for _ in range(k+2)]) == secret\n\n```\n\n\n## PubKey/PrivKey Examples\n\nWith `AAT(Abstract Algebra Type)` you can easily implement the bitcoin `priv/pub key` and `sign/verify` algorithms like this:\n\n```python\n\nimport random\nfrom klefki.utils import to_sha256int\nfrom klefki.algebra.concrete import (\n    JacobianGroupSecp256k1 as JG,\n    EllipticCurveCyclicSubgroupSecp256k1 as CG,\n    EllipticCurveGroupSecp256k1 as ECG,\n    FiniteFieldCyclicSecp256k1 as CF\n)\n\n\nN = CG.N\nG = CG.G\n\n\ndef random_privkey() -> CF:\n    return CF(random.randint(1, N))\n\n\ndef pubkey(priv: CF) -> ECG:\n    return ECG(JG(G @ priv))\n\n\ndef sign(priv: CF, m: str) -> tuple:\n    k = CF(random.randint(1, N))\n    z = CF(to_sha256int(m))\n    r = CF((G @ k).value[0])  # From Secp256k1Field to CyclicSecp256k1Field\n    s = z / k + priv * r / k\n    return r, s\n\n\n\ndef verify(pub: ECG, sig: tuple, mhash: int):\n    r, s = sig\n    z = CF(mhash)\n    u1 = z / s\n    u2 = r / s\n    rp = G @ u1 + pub @ u2\n    return r == rp.value[0]\n\n```\n\nEven proof the `Sign/Verify` algorithm mathematically.\n\n\n```python\ndef proof():\n    priv = random_privkey()\n    m = 'test'\n    k = CF(random_privkey())\n    z = CF(to_sha256int(m))\n    r = CF((G @ k).value[0])\n    s = z / k + priv * r / k\n\n    assert k == z / s + priv * r / s\n    assert G @ k == G @ (z / s + priv * r / s)\n    assert G @ k == G @ (z / s) + G @ priv @ (r / s)\n\n    pub = G @ priv\n    assert pub == pubkey(priv)\n    assert G @ k == G @ (z / s) + pub @ (r / s)\n    u1 = z / s\n    u2 = r / s\n    assert G @ k == G @ u1 + pub @ u2\n\n\n```\n\nOr transform your Bitcoin Private Key to EOS Private/Pub key (or back)\n\n```python\nfrom klefki.bitcoin.private import decode_privkey\nfrom klefki.eos.public import gen_pub_key\nfrom klefki.eos.private import encode_privkey\n\n\ndef test_to_eos(priv):\n    key = decode_privkey(priv)\n    eos_priv = encode_privkey(key)\n    eos_pub = gen_pub_key(key)\n    print(eos_priv, eos_pub)\n\n```\n\n\n",
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