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MikroTikPatch/toyecc/CurveDB.py

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2024-06-15 02:18:14 +03:00
#
# toyecc - A small Elliptic Curve Cryptography Demonstration.
# Copyright (C) 2011-2022 Johannes Bauer
#
# This file is part of toyecc.
#
# toyecc is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; this program is ONLY licensed under
# version 3 of the License, later versions are explicitly excluded.
#
# toyecc is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with toyecc; if not, write to the Free Software
# Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
#
# Johannes Bauer <JohannesBauer@gmx.de>
#
import enum
import collections
from .ShortWeierstrassCurve import ShortWeierstrassCurve
from .MontgomeryCurve import MontgomeryCurve
from .TwistedEdwardsCurve import TwistedEdwardsCurve
from .Singleton import singleton
from .FieldElement import FieldElement
from .Exceptions import DuplicateCurveException, NoSuchCurveException, UnsupportedFieldException
from .ASN1 import parse_asn1_field_params_fp
from .AffineCurvePoint import AffineCurvePoint
from .CurveQuirks import CurveQuirkEdDSASetPrivateKeyMSB, CurveQuirkEdDSAEnsurePrimeOrderSubgroup, CurveQuirkSigningHashFunction
from . import Tools
@singleton
class CurveDB(object):
def __init__(self):
self._entries = { }
self._primary_names = set()
self._taken_names = set()
def _checknames(self, curvenames):
if len(curvenames & self._taken_names) > 0:
taken_names = ", ".join(sorted(list(curvenames & self._taken_names)))
raise DuplicateCurveException("Curve(s) named %s already registered in curve DB." % (taken_names))
def register(self, entry):
"""Registers a curve in the curve database."""
all_names = set(name.lower() for name in entry.all_aliases)
self._checknames(all_names)
self._taken_names |= all_names
self._primary_names.add(entry.name)
self._entries[entry.primary_name.lower()] = entry
for aliasname in entry.aliases:
clone = entry.clone(secondary_name = aliasname)
self._entries[aliasname.lower()] = clone
def curvenames(self):
"""Returns the primary names of all curves in the DB."""
return (curve.name for curve in self._entries.values() if (curve.is_aka is False))
def allcurvenames(self):
"""Returns all names of all curves in the DB. This includes duplicate
AKAs such as secp224r1 which is also known as wap-wsg-idm-ecid-wtls12
albeit under a different OID."""
return (curve.name for curve in self._entries.values())
def find_duplicate_curves(self):
"""Returns curves in which the domain parameters (including the
coordinates of the generator point G) are identical. This can happen if
identical curves are registered under the same name."""
params = collections.defaultdict(list)
for curve in self:
params[tuple(sorted(curve.domain_params))].append(curve.name)
return [ curves for (param, curves) in params.items() if (len(curves) > 1) ]
def getentry(self, name):
"""Returns a specific curve entry by its case-insensitive name."""
name = name.lower()
if name not in self._entries:
raise KeyError("Curve named '%s' is not known in curve database." % (name))
return self._entries[name]
def get_curve_from_asn1(self, asn1):
"""This function will take a parsed ASN.1 ECParameters class as input
and try to return the curve specified within. If the ECParameters
specify a named curve by its's OID then a lookup is performed against
the curve database and that named curve returned on success if
non-ambiguous. If the parameters are exclicitly stated, then an unnamed
ShortWeierstrassCurve is constructed."""
if asn1["namedCurve"] is not None:
# Curve is encoded as OID, look up from curve DB
curve_oid = str(asn1["namedCurve"])
entries = [ entry for entry in self if (entry.oid == curve_oid) ]
if len(entries) == 0:
raise NoSuchCurveException("Trying to load curve with OID %s from curve DB, but no such curve is present in database." % (curve_oid))
elif len(entries) > 1:
raise Exception("Trying to load curve with OID %s from curve DB, but found %d curves (refuse to guess in the face of ambiguity)." % (curve_oid, len(entries)))
curve = entries[0]()
elif asn1["specifiedCurve"] is not None:
field_type_oid = str(asn1["specifiedCurve"]["fieldID"]["fieldType"])
if field_type_oid == "1.2.840.10045.1.1":
# F_P curve is encoded in explicit form
p = int(parse_asn1_field_params_fp(asn1["specifiedCurve"]["fieldID"]["parameters"]))
a = Tools.bytestoint(asn1["specifiedCurve"]["curve"]["a"])
b = Tools.bytestoint(asn1["specifiedCurve"]["curve"]["b"])
G = bytes(asn1["specifiedCurve"]["base"])
(Gx, Gy) = AffineCurvePoint.deserialize_uncompressed(G)
n = int(asn1["specifiedCurve"]["order"])
h = int(asn1["specifiedCurve"]["cofactor"])
curve = ShortWeierstrassCurve(p = p, a = a, b = b, n = n, h = h, Gx = Gx, Gy = Gy)
else:
# Maybe F_2^N curve or some other, unsupported type
raise UnsupportedFieldException("Only supports elliptic curves in F_P are supported, but the requested field type OID was %s." % (field_type_oid))
else:
raise NoSuchCurveException("Cannot load implicit curve.")
return curve
def __iter__(self):
"""Iterates over the curve DB entries."""
for name in self.curvenames():
yield self._entries[name.lower()]
def __getitem__(self, name):
"""Returns a curve (not a curve DB entry) by its name."""
return self.getentry(name)()
def __str__(self):
return "CurveDB<%d unique curves, %d total>" % (len(self._primary_names), len(self._entries))
class _CurveDBEntry(object):
def __init__(self, primary_name, curve_class, domain_params, **kwargs):
allowed_kwargs = set(("oid", "alt_oids", "aliases", "origin", "secure", "quirks"))
wrong_args = kwargs.keys() - allowed_kwargs
if len(wrong_args) > 0:
raise Exception("Illegal keyword arguments: %s" % (", ".join(sorted(wrong_args))))
assert(primary_name is not None)
self._primary_name = primary_name
self._secondary_name = None
self._curve_class = curve_class
self._domain_params = domain_params
self._oid = kwargs.get("oid")
self._alt_oids = kwargs.get("alt_oids")
self._aliases = kwargs.get("aliases")
self._origin = kwargs.get("origin")
self._secure = kwargs.get("secure", True)
self._quirks = kwargs.get("quirks", [ ])
self._instance = None
def clone(self, secondary_name = None):
clone = _CurveDBEntry(primary_name = self._primary_name, curve_class = self._curve_class, domain_params = self._domain_params, oid = self._oid, alt_oids = self._alt_oids, aliases = self._aliases, origin = self._origin, secure = self._secure)
clone._instance = self._instance
clone._secondary_name = secondary_name
return clone
@property
def is_aka(self):
"""Returns if this curve entry is an AKA ('also known as') for a
different curve (but maybe with a different OID). Example: prime192v1
and secp192r1 refer to identical curves, but 'prime192v1' is the
internally considered primary name while 'secp192r1' is considered to
be an AKA."""
return self._secondary_name is not None
@property
def primary_name(self):
return self._primary_name
@property
def name(self):
if self._secondary_name is not None:
return self._secondary_name
else:
return self._primary_name
@property
def fieldsize_bits(self):
return self._domain_params["p"].bit_length()
@property
def secure(self):
return self._secure
@property
def origin(self):
return self._origin
@property
def bits_security_estimate(self):
if not self.secure:
return 0
else:
# Require instanciation of the class
self()
return self._instance.security_bit_estimate
def get_alternative_oid(self, name):
"""Returns the alternative OID if it has one."""
if self._alt_oids is not None:
return self._alt_oids.get(name)
@property
def oid(self):
if (self._alt_oids is not None) and (self.name in self._alt_oids):
return self._alt_oids[self.name]
else:
return self._oid
@property
def aliases(self):
if self._aliases is not None:
yield from self._aliases
@property
def all_aliases(self):
yield self._primary_name
yield from self.aliases
@property
def prettyname(self):
if self._instance is None:
return self._curve_class.pretty_name
else:
return self._instance.prettyname
@property
def domain_params(self):
if self._instance is None:
return dict(self._domain_params)
else:
return self._instance.domainparamdict
@property
def prettytitle(self):
return "%d bit %s Curve" % (self.fieldsize_bits, self.prettyname)
def dump(self, domain = False):
print("%s: %s" % (self.name, self.prettytitle))
if self._aliases is not None:
print("Aliases: %s" % (", ".join(sorted(list(self._aliases)))))
if self._oid is not None:
print("OID : %s" % (self._oid))
if domain:
print("Domain parameters:")
for (key, value) in sorted(self.domain_params.items()):
if isinstance(value, FieldElement):
value = value.sigint()
print(" %-10s %s" % (key, value))
def __call__(self):
"""Instanciate the curve."""
if self._instance is None:
# Instanciate actual curve
params = self._domain_params
params["name"] = self.name
params["quirks"] = self._quirks
self._instance = self._curve_class(**params)
return self._instance
def __str__(self):
if self._secondary_name is not None:
return "CurveDBEntry<%s AKA %s>" % (self.primary_name, self._secondary_name)
else:
return "CurveDBEntry<%s>" % (self.name)
cdb = CurveDB()
cdb.register(_CurveDBEntry("brainpoolP160r1", ShortWeierstrassCurve, {
"a": 0x340e7be2a280eb74e2be61bada745d97e8f7c300,
"b": 0x1e589a8595423412134faa2dbdec95c8d8675e58,
"p": 0xe95e4a5f737059dc60dfc7ad95b3d8139515620f,
"n": 0xe95e4a5f737059dc60df5991d45029409e60fc09,
"h": 1,
"Gx": 0xbed5af16ea3f6a4f62938c4631eb5af7bdbcdbc3,
"Gy": 0x1667cb477a1a8ec338f94741669c976316da6321,
}, oid = "1.3.36.3.3.2.8.1.1.1", origin = "ECC Brainpool"))
cdb.register(_CurveDBEntry("brainpoolP160t1", ShortWeierstrassCurve, {
"a": 0xe95e4a5f737059dc60dfc7ad95b3d8139515620c,
"b": 0x7a556b6dae535b7b51ed2c4d7daa7a0b5c55f380,
"p": 0xe95e4a5f737059dc60dfc7ad95b3d8139515620f,
"n": 0xe95e4a5f737059dc60df5991d45029409e60fc09,
"h": 1,
"Gx": 0xb199b13b9b34efc1397e64baeb05acc265ff2378,
"Gy": 0xadd6718b7c7c1961f0991b842443772152c9e0ad,
}, oid = "1.3.36.3.3.2.8.1.1.2", origin = "ECC Brainpool"))
cdb.register(_CurveDBEntry("brainpoolP192r1", ShortWeierstrassCurve, {
"a": 0x6a91174076b1e0e19c39c031fe8685c1cae040e5c69a28ef,
"b": 0x469a28ef7c28cca3dc721d044f4496bcca7ef4146fbf25c9,
"p": 0xc302f41d932a36cda7a3463093d18db78fce476de1a86297,
"n": 0xc302f41d932a36cda7a3462f9e9e916b5be8f1029ac4acc1,
"h": 1,
"Gx": 0xc0a0647eaab6a48753b033c56cb0f0900a2f5c4853375fd6,
"Gy": 0x14b690866abd5bb88b5f4828c1490002e6773fa2fa299b8f,
}, oid = "1.3.36.3.3.2.8.1.1.3", origin = "ECC Brainpool"))
cdb.register(_CurveDBEntry("brainpoolP192t1", ShortWeierstrassCurve, {
"a": 0xc302f41d932a36cda7a3463093d18db78fce476de1a86294,
"b": 0x13d56ffaec78681e68f9deb43b35bec2fb68542e27897b79,
"p": 0xc302f41d932a36cda7a3463093d18db78fce476de1a86297,
"n": 0xc302f41d932a36cda7a3462f9e9e916b5be8f1029ac4acc1,
"h": 1,
"Gx": 0x3ae9e58c82f63c30282e1fe7bbf43fa72c446af6f4618129,
"Gy": 0x97e2c5667c2223a902ab5ca449d0084b7e5b3de7ccc01c9,
}, oid = "1.3.36.3.3.2.8.1.1.4", origin = "ECC Brainpool"))
cdb.register(_CurveDBEntry("brainpoolP224r1", ShortWeierstrassCurve, {
"a": 0x68a5e62ca9ce6c1c299803a6c1530b514e182ad8b0042a59cad29f43,
"b": 0x2580f63ccfe44138870713b1a92369e33e2135d266dbb372386c400b,
"p": 0xd7c134aa264366862a18302575d1d787b09f075797da89f57ec8c0ff,
"n": 0xd7c134aa264366862a18302575d0fb98d116bc4b6ddebca3a5a7939f,
"h": 1,
"Gx": 0xd9029ad2c7e5cf4340823b2a87dc68c9e4ce3174c1e6efdee12c07d,
"Gy": 0x58aa56f772c0726f24c6b89e4ecdac24354b9e99caa3f6d3761402cd,
}, oid = "1.3.36.3.3.2.8.1.1.5", origin = "ECC Brainpool"))
cdb.register(_CurveDBEntry("brainpoolP224t1", ShortWeierstrassCurve, {
"a": 0xd7c134aa264366862a18302575d1d787b09f075797da89f57ec8c0fc,
"b": 0x4b337d934104cd7bef271bf60ced1ed20da14c08b3bb64f18a60888d,
"p": 0xd7c134aa264366862a18302575d1d787b09f075797da89f57ec8c0ff,
"n": 0xd7c134aa264366862a18302575d0fb98d116bc4b6ddebca3a5a7939f,
"h": 1,
"Gx": 0x6ab1e344ce25ff3896424e7ffe14762ecb49f8928ac0c76029b4d580,
"Gy": 0x374e9f5143e568cd23f3f4d7c0d4b1e41c8cc0d1c6abd5f1a46db4c,
}, oid = "1.3.36.3.3.2.8.1.1.6", origin = "ECC Brainpool"))
cdb.register(_CurveDBEntry("brainpoolP256r1", ShortWeierstrassCurve, {
"a": 0x7d5a0975fc2c3057eef67530417affe7fb8055c126dc5c6ce94a4b44f330b5d9,
"b": 0x26dc5c6ce94a4b44f330b5d9bbd77cbf958416295cf7e1ce6bccdc18ff8c07b6,
"p": 0xa9fb57dba1eea9bc3e660a909d838d726e3bf623d52620282013481d1f6e5377,
"n": 0xa9fb57dba1eea9bc3e660a909d838d718c397aa3b561a6f7901e0e82974856a7,
"h": 1,
"Gx": 0x8bd2aeb9cb7e57cb2c4b482ffc81b7afb9de27e1e3bd23c23a4453bd9ace3262,
"Gy": 0x547ef835c3dac4fd97f8461a14611dc9c27745132ded8e545c1d54c72f046997,
}, oid = "1.3.36.3.3.2.8.1.1.7", origin = "ECC Brainpool"))
cdb.register(_CurveDBEntry("brainpoolP256t1", ShortWeierstrassCurve, {
"a": 0xa9fb57dba1eea9bc3e660a909d838d726e3bf623d52620282013481d1f6e5374,
"b": 0x662c61c430d84ea4fe66a7733d0b76b7bf93ebc4af2f49256ae58101fee92b04,
"p": 0xa9fb57dba1eea9bc3e660a909d838d726e3bf623d52620282013481d1f6e5377,
"n": 0xa9fb57dba1eea9bc3e660a909d838d718c397aa3b561a6f7901e0e82974856a7,
"h": 1,
"Gx": 0xa3e8eb3cc1cfe7b7732213b23a656149afa142c47aafbc2b79a191562e1305f4,
"Gy": 0x2d996c823439c56d7f7b22e14644417e69bcb6de39d027001dabe8f35b25c9be,
}, oid = "1.3.36.3.3.2.8.1.1.8", origin = "ECC Brainpool"))
cdb.register(_CurveDBEntry("brainpoolP320r1", ShortWeierstrassCurve, {
"a": 0x3ee30b568fbab0f883ccebd46d3f3bb8a2a73513f5eb79da66190eb085ffa9f492f375a97d860eb4,
"b": 0x520883949dfdbc42d3ad198640688a6fe13f41349554b49acc31dccd884539816f5eb4ac8fb1f1a6,
"p": 0xd35e472036bc4fb7e13c785ed201e065f98fcfa6f6f40def4f92b9ec7893ec28fcd412b1f1b32e27,
"n": 0xd35e472036bc4fb7e13c785ed201e065f98fcfa5b68f12a32d482ec7ee8658e98691555b44c59311,
"h": 1,
"Gx": 0x43bd7e9afb53d8b85289bcc48ee5bfe6f20137d10a087eb6e7871e2a10a599c710af8d0d39e20611,
"Gy": 0x14fdd05545ec1cc8ab4093247f77275e0743ffed117182eaa9c77877aaac6ac7d35245d1692e8ee1,
}, oid = "1.3.36.3.3.2.8.1.1.9", origin = "ECC Brainpool"))
cdb.register(_CurveDBEntry("brainpoolP320t1", ShortWeierstrassCurve, {
"a": 0xd35e472036bc4fb7e13c785ed201e065f98fcfa6f6f40def4f92b9ec7893ec28fcd412b1f1b32e24,
"b": 0xa7f561e038eb1ed560b3d147db782013064c19f27ed27c6780aaf77fb8a547ceb5b4fef422340353,
"p": 0xd35e472036bc4fb7e13c785ed201e065f98fcfa6f6f40def4f92b9ec7893ec28fcd412b1f1b32e27,
"n": 0xd35e472036bc4fb7e13c785ed201e065f98fcfa5b68f12a32d482ec7ee8658e98691555b44c59311,
"h": 1,
"Gx": 0x925be9fb01afc6fb4d3e7d4990010f813408ab106c4f09cb7ee07868cc136fff3357f624a21bed52,
"Gy": 0x63ba3a7a27483ebf6671dbef7abb30ebee084e58a0b077ad42a5a0989d1ee71b1b9bc0455fb0d2c3,
}, oid = "1.3.36.3.3.2.8.1.1.10", origin = "ECC Brainpool"))
cdb.register(_CurveDBEntry("brainpoolP384r1", ShortWeierstrassCurve, {
"a": 0x7bc382c63d8c150c3c72080ace05afa0c2bea28e4fb22787139165efba91f90f8aa5814a503ad4eb04a8c7dd22ce2826,
"b": 0x4a8c7dd22ce28268b39b55416f0447c2fb77de107dcd2a62e880ea53eeb62d57cb4390295dbc9943ab78696fa504c11,
"p": 0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b412b1da197fb71123acd3a729901d1a71874700133107ec53,
"n": 0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b31f166e6cac0425a7cf3ab6af6b7fc3103b883202e9046565,
"h": 1,
"Gx": 0x1d1c64f068cf45ffa2a63a81b7c13f6b8847a3e77ef14fe3db7fcafe0cbd10e8e826e03436d646aaef87b2e247d4af1e,
"Gy": 0x8abe1d7520f9c2a45cb1eb8e95cfd55262b70b29feec5864e19c054ff99129280e4646217791811142820341263c5315,
}, oid = "1.3.36.3.3.2.8.1.1.11", origin = "ECC Brainpool"))
cdb.register(_CurveDBEntry("brainpoolP384t1", ShortWeierstrassCurve, {
"a": 0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b412b1da197fb71123acd3a729901d1a71874700133107ec50,
"b": 0x7f519eada7bda81bd826dba647910f8c4b9346ed8ccdc64e4b1abd11756dce1d2074aa263b88805ced70355a33b471ee,
"p": 0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b412b1da197fb71123acd3a729901d1a71874700133107ec53,
"n": 0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b31f166e6cac0425a7cf3ab6af6b7fc3103b883202e9046565,
"h": 1,
"Gx": 0x18de98b02db9a306f2afcd7235f72a819b80ab12ebd653172476fecd462aabffc4ff191b946a5f54d8d0aa2f418808cc,
"Gy": 0x25ab056962d30651a114afd2755ad336747f93475b7a1fca3b88f2b6a208ccfe469408584dc2b2912675bf5b9e582928,
}, oid = "1.3.36.3.3.2.8.1.1.12", origin = "ECC Brainpool"))
cdb.register(_CurveDBEntry("brainpoolP512r1", ShortWeierstrassCurve, {
"a": 0x7830a3318b603b89e2327145ac234cc594cbdd8d3df91610a83441caea9863bc2ded5d5aa8253aa10a2ef1c98b9ac8b57f1117a72bf2c7b9e7c1ac4d77fc94ca,
"b": 0x3df91610a83441caea9863bc2ded5d5aa8253aa10a2ef1c98b9ac8b57f1117a72bf2c7b9e7c1ac4d77fc94cadc083e67984050b75ebae5dd2809bd638016f723,
"p": 0xaadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca703308717d4d9b009bc66842aecda12ae6a380e62881ff2f2d82c68528aa6056583a48f3,
"n": 0xaadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca70330870553e5c414ca92619418661197fac10471db1d381085ddaddb58796829ca90069,
"h": 1,
"Gx": 0x81aee4bdd82ed9645a21322e9c4c6a9385ed9f70b5d916c1b43b62eef4d0098eff3b1f78e2d0d48d50d1687b93b97d5f7c6d5047406a5e688b352209bcb9f822,
"Gy": 0x7dde385d566332ecc0eabfa9cf7822fdf209f70024a57b1aa000c55b881f8111b2dcde494a5f485e5bca4bd88a2763aed1ca2b2fa8f0540678cd1e0f3ad80892,
}, oid = "1.3.36.3.3.2.8.1.1.13", origin = "ECC Brainpool"))
cdb.register(_CurveDBEntry("brainpoolP512t1", ShortWeierstrassCurve, {
"a": 0xaadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca703308717d4d9b009bc66842aecda12ae6a380e62881ff2f2d82c68528aa6056583a48f0,
"b": 0x7cbbbcf9441cfab76e1890e46884eae321f70c0bcb4981527897504bec3e36a62bcdfa2304976540f6450085f2dae145c22553b465763689180ea2571867423e,
"p": 0xaadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca703308717d4d9b009bc66842aecda12ae6a380e62881ff2f2d82c68528aa6056583a48f3,
"n": 0xaadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca70330870553e5c414ca92619418661197fac10471db1d381085ddaddb58796829ca90069,
"h": 1,
"Gx": 0x640ece5c12788717b9c1ba06cbc2a6feba85842458c56dde9db1758d39c0313d82ba51735cdb3ea499aa77a7d6943a64f7a3f25fe26f06b51baa2696fa9035da,
"Gy": 0x5b534bd595f5af0fa2c892376c84ace1bb4e3019b71634c01131159cae03cee9d9932184beef216bd71df2dadf86a627306ecff96dbb8bace198b61e00f8b332,
}, oid = "1.3.36.3.3.2.8.1.1.14", origin = "ECC Brainpool"))
cdb.register(_CurveDBEntry("prime192v1", ShortWeierstrassCurve, {
"a": 0xfffffffffffffffffffffffffffffffefffffffffffffffc,
"b": 0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1,
"p": 0xfffffffffffffffffffffffffffffffeffffffffffffffff,
"n": 0xffffffffffffffffffffffff99def836146bc9b1b4d22831,
"h": 1,
"Gx": 0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012,
"Gy": 0x7192b95ffc8da78631011ed6b24cdd573f977a11e794811,
}, aliases = [ "secp192r1", "NIST P-192", "ansip192r1" ], oid = "1.2.840.10045.3.1.1", origin = "Certicom Standards for Efficient Cryptography (SEC) 2 / ANSI X9.62 / FIPS 186-2 / NIST Recommended Elliptic Curves for Federal Government Use"))
cdb.register(_CurveDBEntry("prime192v2", ShortWeierstrassCurve, {
"a": 0xfffffffffffffffffffffffffffffffefffffffffffffffc,
"b": 0xcc22d6dfb95c6b25e49c0d6364a4e5980c393aa21668d953,
"p": 0xfffffffffffffffffffffffffffffffeffffffffffffffff,
"n": 0xfffffffffffffffffffffffe5fb1a724dc80418648d8dd31,
"h": 1,
"Gx": 0xeea2bae7e1497842f2de7769cfe9c989c072ad696f48034a,
"Gy": 0x6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15,
}, oid = "1.2.840.10045.3.1.2", origin = "ANSI X9.62"))
cdb.register(_CurveDBEntry("prime192v3", ShortWeierstrassCurve, {
"a": 0xfffffffffffffffffffffffffffffffefffffffffffffffc,
"b": 0x22123dc2395a05caa7423daeccc94760a7d462256bd56916,
"p": 0xfffffffffffffffffffffffffffffffeffffffffffffffff,
"n": 0xffffffffffffffffffffffff7a62d031c83f4294f640ec13,
"h": 1,
"Gx": 0x7d29778100c65a1da1783716588dce2b8b4aee8e228f1896,
"Gy": 0x38a90f22637337334b49dcb66a6dc8f9978aca7648a943b0,
}, oid = "1.2.840.10045.3.1.3", origin = "ANSI X9.62"))
cdb.register(_CurveDBEntry("prime239v1", ShortWeierstrassCurve, {
"a": 0x7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc,
"b": 0x6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a,
"p": 0x7fffffffffffffffffffffff7fffffffffff8000000000007fffffffffff,
"n": 0x7fffffffffffffffffffffff7fffff9e5e9a9f5d9071fbd1522688909d0b,
"h": 1,
"Gx": 0xffa963cdca8816ccc33b8642bedf905c3d358573d3f27fbbd3b3cb9aaaf,
"Gy": 0x7debe8e4e90a5dae6e4054ca530ba04654b36818ce226b39fccb7b02f1ae,
}, oid = "1.2.840.10045.3.1.4", origin = "ANSI X9.62"))
cdb.register(_CurveDBEntry("prime239v2", ShortWeierstrassCurve, {
"a": 0x7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc,
"b": 0x617fab6832576cbbfed50d99f0249c3fee58b94ba0038c7ae84c8c832f2c,
"p": 0x7fffffffffffffffffffffff7fffffffffff8000000000007fffffffffff,
"n": 0x7fffffffffffffffffffffff800000cfa7e8594377d414c03821bc582063,
"h": 1,
"Gx": 0x38af09d98727705120c921bb5e9e26296a3cdcf2f35757a0eafd87b830e7,
"Gy": 0x5b0125e4dbea0ec7206da0fc01d9b081329fb555de6ef460237dff8be4ba,
}, oid = "1.2.840.10045.3.1.5", origin = "ANSI X9.62"))
cdb.register(_CurveDBEntry("prime239v3", ShortWeierstrassCurve, {
"a": 0x7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc,
"b": 0x255705fa2a306654b1f4cb03d6a750a30c250102d4988717d9ba15ab6d3e,
"p": 0x7fffffffffffffffffffffff7fffffffffff8000000000007fffffffffff,
"n": 0x7fffffffffffffffffffffff7fffff975deb41b3a6057c3c432146526551,
"h": 1,
"Gx": 0x6768ae8e18bb92cfcf005c949aa2c6d94853d0e660bbf854b1c9505fe95a,
"Gy": 0x1607e6898f390c06bc1d552bad226f3b6fcfe48b6e818499af18e3ed6cf3,
}, oid = "1.2.840.10045.3.1.6", origin = "ANSI X9.62"))
cdb.register(_CurveDBEntry("prime256v1", ShortWeierstrassCurve, {
"a": 0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc,
"b": 0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b,
"p": 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff,
"n": 0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551,
"h": 1,
"Gx": 0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296,
"Gy": 0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5,
}, aliases = [ "secp256r1", "NIST P-256" ], oid = "1.2.840.10045.3.1.7", origin = "Certicom Standards for Efficient Cryptography (SEC) 2 / ANSI X9.62 / FIPS 186-2 / NIST Recommended Elliptic Curves for Federal Government Use"))
cdb.register(_CurveDBEntry("secp112r1", ShortWeierstrassCurve, {
"a": 0xdb7c2abf62e35e668076bead2088,
"b": 0x659ef8ba043916eede8911702b22,
"p": 0xdb7c2abf62e35e668076bead208b,
"n": 0xdb7c2abf62e35e7628dfac6561c5,
"h": 1,
"Gx": 0x9487239995a5ee76b55f9c2f098,
"Gy": 0xa89ce5af8724c0a23e0e0ff77500,
}, aliases = [ "wap-wsg-idm-ecid-wtls6" ], oid = "1.3.132.0.6", alt_oids = { "wap-wsg-idm-ecid-wtls6": "2.23.43.1.4.6" }, origin = "Certicom Standards for Efficient Cryptography (SEC) 2 / Wireless Application Protocol WAP-261-WTLS-20010406a"))
cdb.register(_CurveDBEntry("secp112r2", ShortWeierstrassCurve, {
"a": 0x6127c24c05f38a0aaaf65c0ef02c,
"b": 0x51def1815db5ed74fcc34c85d709,
"p": 0xdb7c2abf62e35e668076bead208b,
"n": 0x36df0aafd8b8d7597ca10520d04b,
"h": 4,
"Gx": 0x4ba30ab5e892b4e1649dd0928643,
"Gy": 0xadcd46f5882e3747def36e956e97,
}, oid = "1.3.132.0.7", origin = "Certicom Standards for Efficient Cryptography (SEC) 2"))
cdb.register(_CurveDBEntry("secp128r1", ShortWeierstrassCurve, {
"a": 0xfffffffdfffffffffffffffffffffffc,
"b": 0xe87579c11079f43dd824993c2cee5ed3,
"p": 0xfffffffdffffffffffffffffffffffff,
"n": 0xfffffffe0000000075a30d1b9038a115,
"h": 1,
"Gx": 0x161ff7528b899b2d0c28607ca52c5b86,
"Gy": 0xcf5ac8395bafeb13c02da292dded7a83,
}, oid = "1.3.132.0.28", origin = "Certicom Standards for Efficient Cryptography (SEC) 2"))
cdb.register(_CurveDBEntry("secp128r2", ShortWeierstrassCurve, {
"a": 0xd6031998d1b3bbfebf59cc9bbff9aee1,
"b": 0x5eeefca380d02919dc2c6558bb6d8a5d,
"p": 0xfffffffdffffffffffffffffffffffff,
"n": 0x3fffffff7fffffffbe0024720613b5a3,
"h": 4,
"Gx": 0x7b6aa5d85e572983e6fb32a7cdebc140,
"Gy": 0x27b6916a894d3aee7106fe805fc34b44,
}, oid = "1.3.132.0.29", origin = "Certicom Standards for Efficient Cryptography (SEC) 2"))
cdb.register(_CurveDBEntry("secp160k1", ShortWeierstrassCurve, {
"a": 0,
"b": 7,
"p": 0x0fffffffffffffffffffffffffffffffeffffac73,
"n": 0x100000000000000000001b8fa16dfab9aca16b6b3,
"h": 1,
"Gx": 0x03b4c382ce37aa192a4019e763036f4f5dd4d7ebb,
"Gy": 0x0938cf935318fdced6bc28286531733c3f03c4fee,
}, aliases = [ "ansip160k1" ], oid = "1.3.132.0.9", origin = "Certicom Standards for Efficient Cryptography (SEC) 2"))
cdb.register(_CurveDBEntry("secp160r1", ShortWeierstrassCurve, {
"a": 0x0ffffffffffffffffffffffffffffffff7ffffffc,
"b": 0x01c97befc54bd7a8b65acf89f81d4d4adc565fa45,
"p": 0x0ffffffffffffffffffffffffffffffff7fffffff,
"n": 0x100000000000000000001f4c8f927aed3ca752257,
"h": 1,
"Gx": 0x04a96b5688ef573284664698968c38bb913cbfc82,
"Gy": 0x023a628553168947d59dcc912042351377ac5fb32,
}, aliases = [ "ansip160r1" ], oid = "1.3.132.0.8", origin = "Certicom Standards for Efficient Cryptography (SEC) 2"))
cdb.register(_CurveDBEntry("secp160r2", ShortWeierstrassCurve, {
"a": 0x0fffffffffffffffffffffffffffffffeffffac70,
"b": 0x0b4e134d3fb59eb8bab57274904664d5af50388ba,
"p": 0x0fffffffffffffffffffffffffffffffeffffac73,
"n": 0x100000000000000000000351ee786a818f3a1a16b,
"h": 1,
"Gx": 0x052dcb034293a117e1f4ff11b30f7199d3144ce6d,
"Gy": 0x0feaffef2e331f296e071fa0df9982cfea7d43f2e,
}, aliases = [ "ansip160r2", "wap-wsg-idm-ecid-wtls7" ], oid = "1.3.132.0.30", alt_oids = { "wap-wsg-idm-ecid-wtls7": "2.23.43.1.4.7" }, origin = "Certicom Standards for Efficient Cryptography (SEC) 2 / Wireless Application Protocol WAP-261-WTLS-20010406a"))
cdb.register(_CurveDBEntry("secp192k1", ShortWeierstrassCurve, {
"a": 0,
"b": 3,
"p": 0xfffffffffffffffffffffffffffffffffffffffeffffee37,
"n": 0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d,
"h": 1,
"Gx": 0xdb4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d,
"Gy": 0x9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d,
}, aliases = [ "ansip192k1" ], oid = "1.3.132.0.31", origin = "Certicom Standards for Efficient Cryptography (SEC) 2"))
cdb.register(_CurveDBEntry("secp224k1", ShortWeierstrassCurve, {
"a": 0,
"b": 5,
"p": 0x0fffffffffffffffffffffffffffffffffffffffffffffffeffffe56d,
"n": 0x10000000000000000000000000001dce8d2ec6184caf0a971769fb1f7,
"h": 1,
"Gx": 0x0a1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c,
"Gy": 0x07e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5,
}, aliases = [ "ansip224k1" ], oid = "1.3.132.0.32", origin = "Certicom Standards for Efficient Cryptography (SEC) 2"))
cdb.register(_CurveDBEntry("secp224r1", ShortWeierstrassCurve, {
"a": 0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe,
"b": 0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4,
"p": 0xffffffffffffffffffffffffffffffff000000000000000000000001,
"n": 0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d,
"h": 1,
"Gx": 0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21,
"Gy": 0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34,
}, aliases = [ "ansip224r1", "NIST P-224", "wap-wsg-idm-ecid-wtls12" ], oid = "1.3.132.0.33", alt_oids = { "wap-wsg-idm-ecid-wtls12": "2.23.43.1.4.12" }, origin = "Certicom Standards for Efficient Cryptography (SEC) 2 / FIPS 186-2 / NIST Recommended Elliptic Curves for Federal Government Use / Wireless Application Protocol WAP-261-WTLS-20010406a"))
cdb.register(_CurveDBEntry("secp256k1", ShortWeierstrassCurve, {
"a": 0,
"b": 7,
"p": 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,
"n": 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141,
"h": 1,
"Gx": 0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,
"Gy": 0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8,
}, aliases = [ "ansip256k1" ], oid = "1.3.132.0.10", origin = "Certicom Standards for Efficient Cryptography (SEC) 2"))
cdb.register(_CurveDBEntry("secp384r1", ShortWeierstrassCurve, {
"a": 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc,
"b": 0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef,
"p": 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff,
"n": 0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973,
"h": 1,
"Gx": 0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7,
"Gy": 0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f,
}, aliases = [ "ansip384r1", "NIST P-384" ], oid = "1.3.132.0.34", origin = "Certicom Standards for Efficient Cryptography (SEC) 2 / FIPS 186-2 / NIST Recommended Elliptic Curves for Federal Government Use"))
cdb.register(_CurveDBEntry("secp521r1", ShortWeierstrassCurve, {
"a": 0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc,
"b": 0x051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00,
"p": 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff,
"n": 0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409,
"h": 1,
"Gx": 0x0c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66,
"Gy": 0x11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650,
}, aliases = [ "NIST P-521", "ansip521r1" ], oid = "1.3.132.0.35", origin = "Certicom Standards for Efficient Cryptography (SEC) 2 / FIPS 186-2 / NIST Recommended Elliptic Curves for Federal Government Use"))
cdb.register(_CurveDBEntry("wap-wsg-idm-ecid-wtls8", ShortWeierstrassCurve, {
"a": 0,
"b": 3,
"p": 0x0fffffffffffffffffffffffffde7,
"n": 0x100000000000001ecea551ad837e9,
"h": 1,
"Gx": 1,
"Gy": 2,
}, oid = "2.23.43.1.4.8", origin = "Wireless Application Protocol WAP-261-WTLS-20010406a"))
cdb.register(_CurveDBEntry("wap-wsg-idm-ecid-wtls9", ShortWeierstrassCurve, {
"a": 0,
"b": 3,
"p": 0x0fffffffffffffffffffffffffffffffffffc808f,
"n": 0x100000000000000000001cdc98ae0e2de574abf33,
"h": 1,
"Gx": 1,
"Gy": 2,
}, oid = "2.23.43.1.4.9", origin = "Wireless Application Protocol WAP-261-WTLS-20010406a"))
cdb.register(_CurveDBEntry("Curve25519", MontgomeryCurve, {
"a": 486662,
"b": 1,
"p": (2 ** 255) - 19,
"n": (2 ** 252) + 27742317777372353535851937790883648493,
"h": 8,
"Gx": 0x9,
"Gy": 0x5f51e65e475f794b1fe122d388b72eb36dc2b28192839e4dd6163a5d81312c14,
}, origin = "2006 Bernstein"))
# Curve imported from IETF https://tools.ietf.org/html/rfc7748
cdb.register(_CurveDBEntry("Curve448", MontgomeryCurve, {
"a": 156326,
"b": 1,
"p": (2 ** 448) - (2 ** 224) - 1,
"n": (2 ** 446) - 0x8335dc163bb124b65129c96fde933d8d723a70aadc873d6d54a7bb0d,
"h": 4,
"Gx": 0x5,
"Gy": 0x7d235d1295f5b1f66c98ab6e58326fcecbae5d34f55545d060f75dc28df3f6edb8027e2346430d211312c4b150677af76fd7223d457b5b1a,
}, origin = "2006 Bernstein"))
cdb.register(_CurveDBEntry("Ed25519", TwistedEdwardsCurve, {
"a": -1,
"d": 37095705934669439343138083508754565189542113879843219016388785533085940283555,
"p": (2 ** 255) - 19,
"n": (2 ** 252) + 27742317777372353535851937790883648493,
"h": 8,
"Gx": 0x216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a,
"Gy": 0x6666666666666666666666666666666666666666666666666666666666666658,
}, origin = "2011 Bernstein-Duif-Lange-Schwabe-Yang", quirks = [ CurveQuirkEdDSASetPrivateKeyMSB(), CurveQuirkEdDSAEnsurePrimeOrderSubgroup(), CurveQuirkSigningHashFunction("sha512") ]))
# Curve imported from SafeCurves http://safecurves.cr.yp.to
cdb.register(_CurveDBEntry("Anomalous", ShortWeierstrassCurve, {
"a": 0x98d0fac687d6343eb1a1f595283eb1a1f58d0fac687d635f5e4,
"b": 0x4a1f58d0fac687d6343eb1a5e2d6343eb1a1f58d0fac688ab3f,
"p": 0xb0000000000000000000000953000000000000000000001f9d7,
"n": 0xb0000000000000000000000953000000000000000000001f9d7,
"h": 1,
"Gx": 0x101efb35fd1963c4871a2d17edaafa7e249807f58f8705126c6,
"Gy": 0x22389a3954375834304ba1d509a97de6c07148ea7f5951b20e7,
}, secure = False, origin = "Bernstein http://safecurves.cr.yp.to illustration of additive transfer and small discriminant"))
# Curve imported from SafeCurves http://safecurves.cr.yp.to
cdb.register(_CurveDBEntry("M-221", MontgomeryCurve, {
"a": 117050,
"b": 1,
"p": 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffd,
"n": 0x40000000000000000000000000015a08ed730e8a2f77f005042605b,
"h": 8,
"Gx": 4,
"Gy": 0xf7acdd2a4939571d1cef14eca37c228e61dbff10707dc6c08c5056d,
}, aliases = [ "Curve2213" ], origin = "2013 Aranha-Barreto-Pereira-Ricardini"))
# Curve imported from SafeCurves http://safecurves.cr.yp.to
cdb.register(_CurveDBEntry("E-222", TwistedEdwardsCurve, {
"a": 1,
"d": 160102,
"p": 0x3fffffffffffffffffffffffffffffffffffffffffffffffffffff8b,
"n": 0xffffffffffffffffffffffffffff70cbc95e932f802f31423598cbf,
"h": 4,
"Gx": 0x19b12bb156a389e55c9768c303316d07c23adab3736eb2bc3eb54e51,
"Gy": 28,
}, origin = "2013 Aranha-Barreto-Pereira-Ricardini"))
# Curve imported from SafeCurves http://safecurves.cr.yp.to
cdb.register(_CurveDBEntry("Curve1174", TwistedEdwardsCurve, {
"a": 1,
"d": -1174,
"p": 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7,
"n": 0x1fffffffffffffffffffffffffffffff77965c4dfd307348944d45fd166c971,
"h": 4,
"Gx": 0x37fbb0cea308c479343aee7c029a190c021d96a492ecd6516123f27bce29eda,
"Gy": 0x6b72f82d47fb7cc6656841169840e0c4fe2dee2af3f976ba4ccb1bf9b46360e,
}, origin = "2013 Bernstein-Hamburg-Krasnova-Lange"))
# Curve imported from SafeCurves http://safecurves.cr.yp.to
cdb.register(_CurveDBEntry("BN(2,254)", ShortWeierstrassCurve, {
"a": 0,
"b": 2,
"p": 0x2523648240000001ba344d80000000086121000000000013a700000000000013,
"n": 0x2523648240000001ba344d8000000007ff9f800000000010a10000000000000d,
"h": 1,
"Gx": -1,
"Gy": 1,
}, origin = "2011 Pereira-Simplicio-Naehrig-Barreto"))
# Curve imported from SafeCurves http://safecurves.cr.yp.to
cdb.register(_CurveDBEntry("ANSSI FRP256v1", ShortWeierstrassCurve, {
"a": -3,
"b": 0xee353fca5428a9300d4aba754a44c00fdfec0c9ae4b1a1803075ed967b7bb73f,
"p": 0xf1fd178c0b3ad58f10126de8ce42435b3961adbcabc8ca6de8fcf353d86e9c03,
"n": 0xf1fd178c0b3ad58f10126de8ce42435b53dc67e140d2bf941ffdd459c6d655e1,
"h": 1,
"Gx": 0xb6b3d4c356c139eb31183d4749d423958c27d2dcaf98b70164c97a2dd98f5cff,
"Gy": 0x6142e0f7c8b204911f9271f0f3ecef8c2701c307e8e4c9e183115a1554062cfb,
}, oid = "1.2.250.1.223.101.256.1", origin = "Agence nationale de la sécurité des systèmes d'information"))
# Curve imported from SafeCurves http://safecurves.cr.yp.to
cdb.register(_CurveDBEntry("E-382", TwistedEdwardsCurve, {
"a": 1,
"d": -67254,
"p": 0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff97,
"n": 0xfffffffffffffffffffffffffffffffffffffffffffffffd5fb21f21e95eee17c5e69281b102d2773e27e13fd3c9719,
"h": 4,
"Gx": 0x196f8dd0eab20391e5f05be96e8d20ae68f840032b0b64352923bab85364841193517dbce8105398ebc0cc9470f79603,
"Gy": 17,
}, origin = "2013 Aranha-Barreto-Pereira-Ricardini"))
# Curve imported from SafeCurves http://safecurves.cr.yp.to
cdb.register(_CurveDBEntry("M-383", MontgomeryCurve, {
"a": 2065150,
"b": 1,
"p": 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff45,
"n": 0x10000000000000000000000000000000000000000000000006c79673ac36ba6e7a32576f7b1b249e46bbc225be9071d7,
"h": 8,
"Gx": 12,
"Gy": 0x1ec7ed04aaf834af310e304b2da0f328e7c165f0e8988abd3992861290f617aa1f1b2e7d0b6e332e969991b62555e77e,
}, origin = "2013 Aranha-Barreto-Pereira-Ricardini"))
# Curve imported from SafeCurves http://safecurves.cr.yp.to
cdb.register(_CurveDBEntry("Curve383187", MontgomeryCurve, {
"a": 229969,
"b": 1,
"p": 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff45,
"n": 0x1000000000000000000000000000000000000000000000000e85a85287a1488acd41ae84b2b7030446f72088b00a0e21,
"h": 8,
"Gx": 5,
"Gy": 0x1eebe07dc1871896732b12d5504a32370471965c7a11f2c89865f855ab3cbd7c224e3620c31af3370788457dd5ce46df,
}, origin = "2013 Aranha-Barreto-Pereira-Ricardini"))
# Curve imported from SafeCurves http://safecurves.cr.yp.to
cdb.register(_CurveDBEntry("Curve41417", TwistedEdwardsCurve, {
"a": 1,
"d": 3617,
"p": 0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffef,
"n": 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffeb3cc92414cf706022b36f1c0338ad63cf181b0e71a5e106af79,
"h": 8,
"Gx": 0x1a334905141443300218c0631c326e5fcd46369f44c03ec7f57ff35498a4ab4d6d6ba111301a73faa8537c64c4fd3812f3cbc595,
"Gy": 34,
}, aliases = [ "Curve3617" ], origin = "2013 Bernstein-Lange"))
# Curve imported from SafeCurves http://safecurves.cr.yp.to
cdb.register(_CurveDBEntry("Ed448-Goldilocks", TwistedEdwardsCurve, {
"a": 1,
"d": -39081,
"p": 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffffff,
"n": 0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffff7cca23e9c44edb49aed63690216cc2728dc58f552378c292ab5844f3,
"h": 4,
"Gx": 0x297ea0ea2692ff1b4faff46098453a6a26adf733245f065c3c59d0709cecfa96147eaaf3932d94c63d96c170033f4ba0c7f0de840aed939f,
"Gy": 19,
}, origin = "2014 Hamburg", quirks = [ CurveQuirkEdDSASetPrivateKeyMSB(), CurveQuirkEdDSAEnsurePrimeOrderSubgroup(), CurveQuirkSigningHashFunction("shake256-114") ]))
# Curve imported from https://tools.ietf.org/html/rfc8032
cdb.register(_CurveDBEntry("Ed448", TwistedEdwardsCurve, {
"a": 1,
"d": -39081,
"p": 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffffff,
"n": 0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffff7cca23e9c44edb49aed63690216cc2728dc58f552378c292ab5844f3,
"h": 4,
"Gx": 0x4f1970c66bed0ded221d15a622bf36da9e146570470f1767ea6de324a3d3a46412ae1af72ab66511433b80e18b00938e2626a82bc70cc05e,
"Gy": 0x693f46716eb6bc248876203756c9c7624bea73736ca3984087789c1e05a0c2d73ad3ff1ce67c39c4fdbd132c4ed7c8ad9808795bf230fa14,
}, origin = "https://tools.ietf.org/html/rfc8032", quirks = [ CurveQuirkEdDSASetPrivateKeyMSB(), CurveQuirkEdDSAEnsurePrimeOrderSubgroup(), CurveQuirkSigningHashFunction("shake256-114") ]))
# Curve imported from SafeCurves http://safecurves.cr.yp.to
cdb.register(_CurveDBEntry("M-511", MontgomeryCurve, {
"a": 530438,
"b": 1,
"p": 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff45,
"n": 0x100000000000000000000000000000000000000000000000000000000000000017b5feff30c7f5677ab2aeebd13779a2ac125042a6aa10bfa54c15bab76baf1b,
"h": 8,
"Gx": 5,
"Gy": 0x2fbdc0ad8530803d28fdbad354bb488d32399ac1cf8f6e01ee3f96389b90c809422b9429e8a43dbf49308ac4455940abe9f1dbca542093a895e30a64af056fa5,
}, aliases = [ "Curve511187" ], origin = "2013 Aranha-Barreto-Pereira-Ricardini"))
# Curve imported from SafeCurves http://safecurves.cr.yp.to
cdb.register(_CurveDBEntry("E-521", TwistedEdwardsCurve, {
"a": 1,
"d": -376014,
"p": 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff,
"n": 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd15b6c64746fc85f736b8af5e7ec53f04fbd8c4569a8f1f4540ea2435f5180d6b,
"h": 4,
"Gx": 0x752cb45c48648b189df90cb2296b2878a3bfd9f42fc6c818ec8bf3c9c0c6203913f6ecc5ccc72434b1ae949d568fc99c6059d0fb13364838aa302a940a2f19ba6c,
"Gy": 12,
}, origin = "2013 Bernstein-Lange / 2013 Hamburg / 2013 Aranha-Barreto-Pereira-Ricardini"))
cdb.register(_CurveDBEntry("rigol", ShortWeierstrassCurve, {
"a": 0x2982,
"b": 0x3408,
"p": 0xaebf94cee3e707,
"n": 0xaebf94d5c6aa71,
"h": 1,
"Gx": 0x7a3e808599a525,
"Gy": 0x28be7fafd2a052,
}, origin = "Rigol DS2xxx feature activation curve"))
def getcurvedb():
"""Returns an instance of the curve database singleton object."""
return CurveDB()
def getcurvenames():
"""Returns the names of all curves known to toyecc."""
return CurveDB().curvenames()
def getcurveentry(name):
"""Returns a curve entry by its name."""
return CurveDB().getentry(name)
def getcurvebyname(name):
"""Returns a curve by its name."""
return CurveDB()[name]
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