Python cryptography.hazmat.primitives.asymmetric.dsa.DSAPublicKey() Examples

def from_cryptography_key(cls, crypto_key):
        """
        Construct based on a ``cryptography`` *crypto_key*.

        :param crypto_key: A ``cryptography`` key.
        :type crypto_key: One of ``cryptography``'s `key interfaces`_.

        :rtype: PKey

        .. versionadded:: 16.1.0
        """
        pkey = cls()
        if not isinstance(crypto_key, (rsa.RSAPublicKey, rsa.RSAPrivateKey,
                                       dsa.DSAPublicKey, dsa.DSAPrivateKey)):
            raise TypeError("Unsupported key type")

        pkey._pkey = crypto_key._evp_pkey
        if isinstance(crypto_key, (rsa.RSAPublicKey, dsa.DSAPublicKey)):
            pkey._only_public = True
        pkey._initialized = True
        return pkey 

def from_cryptography_key(cls, crypto_key):
        """
        Construct based on a ``cryptography`` *crypto_key*.

        :param crypto_key: A ``cryptography`` key.
        :type crypto_key: One of ``cryptography``'s `key interfaces`_.

        :rtype: PKey

        .. versionadded:: 16.1.0
        """
        pkey = cls()
        if not isinstance(crypto_key, (rsa.RSAPublicKey, rsa.RSAPrivateKey,
                                       dsa.DSAPublicKey, dsa.DSAPrivateKey)):
            raise TypeError("Unsupported key type")

        pkey._pkey = crypto_key._evp_pkey
        if isinstance(crypto_key, (rsa.RSAPublicKey, dsa.DSAPublicKey)):
            pkey._only_public = True
        pkey._initialized = True
        return pkey 

def type(self):
        """
        Return the type of the object we wrap.  Currently this can only be
        'RSA', 'DSA', or 'EC'.

        @rtype: L{str}
        @raises RuntimeError: If the object type is unknown.
        """
        if isinstance(
                self._keyObject, (rsa.RSAPublicKey, rsa.RSAPrivateKey)):
            return 'RSA'
        elif isinstance(
                self._keyObject, (dsa.DSAPublicKey, dsa.DSAPrivateKey)):
            return 'DSA'
        elif isinstance(
                self._keyObject, (ec.EllipticCurvePublicKey, ec.EllipticCurvePrivateKey)):
            return 'EC'
        else:
            raise RuntimeError(
                'unknown type of object: %r' % (self._keyObject,)) 

def from_cryptography_key(cls, crypto_key):
        """
        Construct based on a ``cryptography`` *crypto_key*.

        :param crypto_key: A ``cryptography`` key.
        :type crypto_key: One of ``cryptography``'s `key interfaces`_.

        :rtype: PKey

        .. versionadded:: 16.1.0
        """
        pkey = cls()
        if not isinstance(crypto_key, (rsa.RSAPublicKey, rsa.RSAPrivateKey,
                                       dsa.DSAPublicKey, dsa.DSAPrivateKey)):
            raise TypeError("Unsupported key type")

        pkey._pkey = crypto_key._evp_pkey
        if isinstance(crypto_key, (rsa.RSAPublicKey, dsa.DSAPublicKey)):
            pkey._only_public = True
        pkey._initialized = True
        return pkey 

def type(self):
        """
        Return the type of the object we wrap.  Currently this can only be
        'RSA', 'DSA', or 'EC'.

        @rtype: L{str}
        @raises RuntimeError: If the object type is unknown.
        """
        if isinstance(
                self._keyObject, (rsa.RSAPublicKey, rsa.RSAPrivateKey)):
            return 'RSA'
        elif isinstance(
                self._keyObject, (dsa.DSAPublicKey, dsa.DSAPrivateKey)):
            return 'DSA'
        elif isinstance(
                self._keyObject, (ec.EllipticCurvePublicKey, ec.EllipticCurvePrivateKey)):
            return 'EC'
        else:
            raise RuntimeError(
                'unknown type of object: %r' % (self._keyObject,)) 

def public_key(self, key):
        """
        Sets the requestor's public key (as found in the signing request).
        """
        if not isinstance(key, (dsa.DSAPublicKey, rsa.RSAPublicKey,
                                ec.EllipticCurvePublicKey)):
            raise TypeError('Expecting one of DSAPublicKey, RSAPublicKey,'
                            ' or EllipticCurvePublicKey.')
        if self._public_key is not None:
            raise ValueError('The public key may only be set once.')
        return CertificateBuilder(
            self._issuer_name, self._subject_name, key,
            self._serial_number, self._not_valid_before,
            self._not_valid_after, self._extensions
        ) 

def is_signature_valid(self, public_key):
        if not isinstance(public_key, (dsa.DSAPublicKey, rsa.RSAPublicKey,
                                       ec.EllipticCurvePublicKey)):
            raise TypeError('Expecting one of DSAPublicKey, RSAPublicKey,'
                            ' or EllipticCurvePublicKey.')
        res = self._backend._lib.X509_CRL_verify(
            self._x509_crl, public_key._evp_pkey
        )

        if res != 1:
            self._backend._consume_errors()
            return False

        return True 

def public_key(self, key):
        """
        Sets the requestor's public key (as found in the signing request).
        """
        if not isinstance(key, (dsa.DSAPublicKey, rsa.RSAPublicKey,
                                ec.EllipticCurvePublicKey)):
            raise TypeError('Expecting one of DSAPublicKey, RSAPublicKey,'
                            ' or EllipticCurvePublicKey.')
        if self._public_key is not None:
            raise ValueError('The public key may only be set once.')
        return CertificateBuilder(
            self._issuer_name, self._subject_name, key,
            self._serial_number, self._not_valid_before,
            self._not_valid_after, self._extensions
        ) 

def is_signature_valid(self, public_key):
        if not isinstance(public_key, (dsa.DSAPublicKey, rsa.RSAPublicKey,
                                       ec.EllipticCurvePublicKey)):
            raise TypeError('Expecting one of DSAPublicKey, RSAPublicKey,'
                            ' or EllipticCurvePublicKey.')
        res = self._backend._lib.X509_CRL_verify(
            self._x509_crl, public_key._evp_pkey
        )

        if res != 1:
            self._backend._consume_errors()
            return False

        return True 

def public_key(self, key):
        """
        Sets the requestor's public key (as found in the signing request).
        """
        if not isinstance(key, (dsa.DSAPublicKey, rsa.RSAPublicKey,
                                ec.EllipticCurvePublicKey)):
            raise TypeError('Expecting one of DSAPublicKey, RSAPublicKey,'
                            ' or EllipticCurvePublicKey.')
        if self._public_key is not None:
            raise ValueError('The public key may only be set once.')
        return CertificateBuilder(
            self._issuer_name, self._subject_name, key,
            self._serial_number, self._not_valid_before,
            self._not_valid_after, self._extensions
        ) 

def public_key(self, key):
        """
        Sets the requestor's public key (as found in the signing request).
        """
        if not isinstance(key, (dsa.DSAPublicKey, rsa.RSAPublicKey,
                                ec.EllipticCurvePublicKey)):
            raise TypeError('Expecting one of DSAPublicKey, RSAPublicKey,'
                            ' or EllipticCurvePublicKey.')
        if self._public_key is not None:
            raise ValueError('The public key may only be set once.')
        return CertificateBuilder(
            self._issuer_name, self._subject_name, key,
            self._serial_number, self._not_valid_before,
            self._not_valid_after, self._extensions
        ) 

def _openssh_public_key_bytes(self, key):
        if isinstance(key, rsa.RSAPublicKey):
            public_numbers = key.public_numbers()
            return b"ssh-rsa " + base64.b64encode(
                serialization._ssh_write_string(b"ssh-rsa") +
                serialization._ssh_write_mpint(public_numbers.e) +
                serialization._ssh_write_mpint(public_numbers.n)
            )
        elif isinstance(key, dsa.DSAPublicKey):
            public_numbers = key.public_numbers()
            parameter_numbers = public_numbers.parameter_numbers
            return b"ssh-dss " + base64.b64encode(
                serialization._ssh_write_string(b"ssh-dss") +
                serialization._ssh_write_mpint(parameter_numbers.p) +
                serialization._ssh_write_mpint(parameter_numbers.q) +
                serialization._ssh_write_mpint(parameter_numbers.g) +
                serialization._ssh_write_mpint(public_numbers.y)
            )
        else:
            assert isinstance(key, ec.EllipticCurvePublicKey)
            public_numbers = key.public_numbers()
            try:
                curve_name = {
                    ec.SECP256R1: b"nistp256",
                    ec.SECP384R1: b"nistp384",
                    ec.SECP521R1: b"nistp521",
                }[type(public_numbers.curve)]
            except KeyError:
                raise ValueError(
                    "Only SECP256R1, SECP384R1, and SECP521R1 curves are "
                    "supported by the SSH public key format"
                )
            return b"ecdsa-sha2-" + curve_name + b" " + base64.b64encode(
                serialization._ssh_write_string(b"ecdsa-sha2-" + curve_name) +
                serialization._ssh_write_string(curve_name) +
                serialization._ssh_write_string(public_numbers.encode_point())
            ) 

def is_signature_valid(self, public_key):
        if not isinstance(public_key, (dsa.DSAPublicKey, rsa.RSAPublicKey,
                                       ec.EllipticCurvePublicKey)):
            raise TypeError('Expecting one of DSAPublicKey, RSAPublicKey,'
                            ' or EllipticCurvePublicKey.')
        res = self._backend._lib.X509_CRL_verify(
            self._x509_crl, public_key._evp_pkey
        )

        if res != 1:
            self._backend._consume_errors()
            return False

        return True 

def public_key(self, key):
        """
        Sets the requestor's public key (as found in the signing request).
        """
        if not isinstance(key, (dsa.DSAPublicKey, rsa.RSAPublicKey,
                                ec.EllipticCurvePublicKey)):
            raise TypeError('Expecting one of DSAPublicKey, RSAPublicKey,'
                            ' or EllipticCurvePublicKey.')
        if self._public_key is not None:
            raise ValueError('The public key may only be set once.')
        return CertificateBuilder(
            self._issuer_name, self._subject_name, key,
            self._serial_number, self._not_valid_before,
            self._not_valid_after, self._extensions
        ) 

def is_signature_valid(self, public_key):
        if not isinstance(public_key, (dsa.DSAPublicKey, rsa.RSAPublicKey,
                                       ec.EllipticCurvePublicKey)):
            raise TypeError('Expecting one of DSAPublicKey, RSAPublicKey,'
                            ' or EllipticCurvePublicKey.')
        res = self._backend._lib.X509_CRL_verify(
            self._x509_crl, public_key._evp_pkey
        )

        if res != 1:
            self._backend._consume_errors()
            return False

        return True 

def isPublic(self):
        """
        Check if this instance is a public key.

        @return: C{True} if this is a public key.
        """
        return isinstance(
            self._keyObject,
            (rsa.RSAPublicKey, dsa.DSAPublicKey, ec.EllipticCurvePublicKey)) 

def isPublic(self):
        """
        Check if this instance is a public key.

        @return: C{True} if this is a public key.
        """
        return isinstance(
            self._keyObject,
            (rsa.RSAPublicKey, dsa.DSAPublicKey, ec.EllipticCurvePublicKey)) 

def _cert_type_string(self, pub_key) -> str:
        if isinstance(pub_key, rsa.RSAPublicKey):
            return "RSA"
        elif isinstance(pub_key, ec.EllipticCurvePublicKey):
            return "ECDSA"
        elif isinstance(pub_key, ed25519.Ed25519PublicKey):
            return "ED25519"
        elif isinstance(pub_key, ed448.Ed448PublicKey):
            return "ED448"
        elif isinstance(pub_key, dsa.DSAPublicKey):
            return "DSA"

        return "" 

def is_signature_valid(self, public_key):
        if not isinstance(public_key, (dsa.DSAPublicKey, rsa.RSAPublicKey,
                                       ec.EllipticCurvePublicKey)):
            raise TypeError('Expecting one of DSAPublicKey, RSAPublicKey,'
                            ' or EllipticCurvePublicKey.')
        res = self._backend._lib.X509_CRL_verify(
            self._x509_crl, public_key._evp_pkey
        )

        if res != 1:
            self._backend._consume_errors()
            return False

        return True 

def is_signature_valid(self, public_key):
        if not isinstance(public_key, (dsa.DSAPublicKey, rsa.RSAPublicKey,
                                       ec.EllipticCurvePublicKey)):
            raise TypeError('Expecting one of DSAPublicKey, RSAPublicKey,'
                            ' or EllipticCurvePublicKey.')
        res = self._backend._lib.X509_CRL_verify(
            self._x509_crl, public_key._evp_pkey
        )

        if res != 1:
            self._backend._consume_errors()
            return False

        return True 

def _openssh_public_key_bytes(self, key):
        if isinstance(key, rsa.RSAPublicKey):
            public_numbers = key.public_numbers()
            return b"ssh-rsa " + base64.b64encode(
                serialization._ssh_write_string(b"ssh-rsa") +
                serialization._ssh_write_mpint(public_numbers.e) +
                serialization._ssh_write_mpint(public_numbers.n)
            )
        elif isinstance(key, dsa.DSAPublicKey):
            public_numbers = key.public_numbers()
            parameter_numbers = public_numbers.parameter_numbers
            return b"ssh-dss " + base64.b64encode(
                serialization._ssh_write_string(b"ssh-dss") +
                serialization._ssh_write_mpint(parameter_numbers.p) +
                serialization._ssh_write_mpint(parameter_numbers.q) +
                serialization._ssh_write_mpint(parameter_numbers.g) +
                serialization._ssh_write_mpint(public_numbers.y)
            )
        else:
            assert isinstance(key, ec.EllipticCurvePublicKey)
            public_numbers = key.public_numbers()
            try:
                curve_name = {
                    ec.SECP256R1: b"nistp256",
                    ec.SECP384R1: b"nistp384",
                    ec.SECP521R1: b"nistp521",
                }[type(public_numbers.curve)]
            except KeyError:
                raise ValueError(
                    "Only SECP256R1, SECP384R1, and SECP521R1 curves are "
                    "supported by the SSH public key format"
                )
            return b"ecdsa-sha2-" + curve_name + b" " + base64.b64encode(
                serialization._ssh_write_string(b"ecdsa-sha2-" + curve_name) +
                serialization._ssh_write_string(curve_name) +
                serialization._ssh_write_string(public_numbers.encode_point())
            ) 

def is_signature_valid(self, public_key):
        if not isinstance(public_key, (dsa.DSAPublicKey, rsa.RSAPublicKey,
                                       ec.EllipticCurvePublicKey)):
            raise TypeError('Expecting one of DSAPublicKey, RSAPublicKey,'
                            ' or EllipticCurvePublicKey.')
        res = self._backend._lib.X509_CRL_verify(
            self._x509_crl, public_key._evp_pkey
        )

        if res != 1:
            self._backend._consume_errors()
            return False

        return True 

def public_key(self, key):
        """
        Sets the requestor's public key (as found in the signing request).
        """
        if not isinstance(key, (dsa.DSAPublicKey, rsa.RSAPublicKey,
                                ec.EllipticCurvePublicKey)):
            raise TypeError('Expecting one of DSAPublicKey, RSAPublicKey,'
                            ' or EllipticCurvePublicKey.')
        if self._public_key is not None:
            raise ValueError('The public key may only be set once.')
        return CertificateBuilder(
            self._issuer_name, self._subject_name, key,
            self._serial_number, self._not_valid_before,
            self._not_valid_after, self._extensions
        ) 

def data(self):
        """
        Return the values of the public key as a dictionary.

        @rtype: L{dict}
        """
        if isinstance(self._keyObject, rsa.RSAPublicKey):
            numbers = self._keyObject.public_numbers()
            return {
                "n": numbers.n,
                "e": numbers.e,
            }
        elif isinstance(self._keyObject, rsa.RSAPrivateKey):
            numbers = self._keyObject.private_numbers()
            return {
                "n": numbers.public_numbers.n,
                "e": numbers.public_numbers.e,
                "d": numbers.d,
                "p": numbers.p,
                "q": numbers.q,
                # Use a trick: iqmp is q^-1 % p, u is p^-1 % q
                "u": rsa.rsa_crt_iqmp(numbers.q, numbers.p),
            }
        elif isinstance(self._keyObject, dsa.DSAPublicKey):
            numbers = self._keyObject.public_numbers()
            return {
                "y": numbers.y,
                "g": numbers.parameter_numbers.g,
                "p": numbers.parameter_numbers.p,
                "q": numbers.parameter_numbers.q,
            }
        elif isinstance(self._keyObject, dsa.DSAPrivateKey):
            numbers = self._keyObject.private_numbers()
            return {
                "x": numbers.x,
                "y": numbers.public_numbers.y,
                "g": numbers.public_numbers.parameter_numbers.g,
                "p": numbers.public_numbers.parameter_numbers.p,
                "q": numbers.public_numbers.parameter_numbers.q,
            }
        elif isinstance(self._keyObject, ec.EllipticCurvePublicKey):
            numbers = self._keyObject.public_numbers()
            return {
                "x": numbers.x,
                "y": numbers.y,
                "curve": self.sshType(),
            }
        elif isinstance(self._keyObject, ec.EllipticCurvePrivateKey):
            numbers = self._keyObject.private_numbers()
            return {
                "x": numbers.public_numbers.x,
                "y": numbers.public_numbers.y,
                "privateValue": numbers.private_value,
                "curve": self.sshType(),
            }

        else:
            raise RuntimeError("Unexpected key type: %s" % (self._keyObject,)) 

def _verify_signature_with_pubkey(self, signed_info_c14n, raw_signature, key_value, der_encoded_key_value,
                                      signature_alg):
        if der_encoded_key_value is not None:
            key = load_der_public_key(b64decode(der_encoded_key_value.text), backend=default_backend())
        if "ecdsa-" in signature_alg:
            if key_value is not None:
                ec_key_value = self._find(key_value, "ECKeyValue", namespace="dsig11")
                named_curve = self._find(ec_key_value, "NamedCurve", namespace="dsig11")
                public_key = self._find(ec_key_value, "PublicKey", namespace="dsig11")
                key_data = b64decode(public_key.text)[1:]
                x = bytes_to_long(key_data[:len(key_data)//2])
                y = bytes_to_long(key_data[len(key_data)//2:])
                curve_class = self.known_ecdsa_curves[named_curve.get("URI")]
                key = ec.EllipticCurvePublicNumbers(x=x, y=y, curve=curve_class()).public_key(backend=default_backend())
            elif not isinstance(key, ec.EllipticCurvePublicKey):
                raise InvalidInput("DER encoded key value does not match specified signature algorithm")
            dss_signature = self._encode_dss_signature(raw_signature, key.key_size)
            key.verify(
                dss_signature,
                data=signed_info_c14n,
                signature_algorithm=ec.ECDSA(
                    self._get_signature_digest_method(signature_alg)
                ),
            )
        elif "dsa-" in signature_alg:
            if key_value is not None:
                dsa_key_value = self._find(key_value, "DSAKeyValue")
                p = self._get_long(dsa_key_value, "P")
                q = self._get_long(dsa_key_value, "Q")
                g = self._get_long(dsa_key_value, "G", require=False)
                y = self._get_long(dsa_key_value, "Y")
                pn = dsa.DSAPublicNumbers(y=y, parameter_numbers=dsa.DSAParameterNumbers(p=p, q=q, g=g))
                key = pn.public_key(backend=default_backend())
            elif not isinstance(key, dsa.DSAPublicKey):
                raise InvalidInput("DER encoded key value does not match specified signature algorithm")
            # TODO: supply meaningful key_size_bits for signature length assertion
            dss_signature = self._encode_dss_signature(raw_signature, len(raw_signature) * 8 / 2)
            key.verify(dss_signature,
                       data=signed_info_c14n,
                       algorithm=self._get_signature_digest_method(signature_alg))
        elif "rsa-" in signature_alg:
            if key_value is not None:
                rsa_key_value = self._find(key_value, "RSAKeyValue")
                modulus = self._get_long(rsa_key_value, "Modulus")
                exponent = self._get_long(rsa_key_value, "Exponent")
                key = rsa.RSAPublicNumbers(e=exponent, n=modulus).public_key(backend=default_backend())
            elif not isinstance(key, rsa.RSAPublicKey):
                raise InvalidInput("DER encoded key value does not match specified signature algorithm")
            key.verify(raw_signature,
                       data=signed_info_c14n,
                       padding=PKCS1v15(),
                       algorithm=self._get_signature_digest_method(signature_alg))
        else:
            raise NotImplementedError() 

def test_arguments(self):
        with self.assertSignal(pre_create_ca) as pre, self.assertSignal(post_create_ca) as post:
            out, err = self.init_ca(
                algorithm=hashes.SHA1(),
                key_type='DSA',
                key_size=1024,
                expires=self.expires(720),
                pathlen=3,
                issuer_url='http://issuer.ca.example.com',
                issuer_alt_name={'value': ['http://ian.ca.example.com']},
                crl_url=['http://crl.example.com'],
                ocsp_url='http://ocsp.example.com',
                ca_issuer_url='http://ca.issuer.ca.example.com',
                permit_name=['DNS:.com'],
                exclude_name=['DNS:.net'],
            )
        self.assertTrue(pre.called)
        self.assertEqual(out, '')
        self.assertEqual(err, '')
        ca = CertificateAuthority.objects.first()
        self.assertPostCreateCa(post, ca)
        self.assertPrivateKey(ca)
        self.assertSerial(ca.serial)
        ca.full_clean()  # assert e.g. max_length in serials
        self.assertSignature([ca], ca)
        self.assertEqual(ca.name_constraints, NameConstraints({'value': {
            'permitted': ['DNS:.com'],
            'excluded': ['DNS:.net']
        }}))

        # test the private key
        key = ca.key(None)
        self.assertIsInstance(key, dsa.DSAPrivateKey)
        self.assertEqual(key.key_size, 1024)

        self.assertTrue(isinstance(ca.x509.signature_hash_algorithm, hashes.SHA1))
        self.assertTrue(isinstance(ca.x509.public_key(), dsa.DSAPublicKey))
        self.assertIsNone(ca.crl_distribution_points)
        self.assertEqual(ca.authority_information_access, AuthorityInformationAccess(
            {'value': {'issuers': ['URI:http://ca.issuer.ca.example.com']}}))
        self.assertEqual(ca.name_constraints, NameConstraints({'value': {
            'permitted': ['DNS:.com'],
            'excluded': ['DNS:.net']
        }}))
        self.assertEqual(ca.pathlen, 3)
        self.assertEqual(ca.max_pathlen, 3)
        self.assertTrue(ca.allows_intermediate_ca)
        self.assertEqual(ca.issuer_url, 'http://issuer.ca.example.com')
        self.assertEqual(ca.issuer_alt_name, 'URI:http://ian.ca.example.com')
        self.assertEqual(ca.crl_url, 'http://crl.example.com')
        self.assertEqual(ca.ocsp_url, 'http://ocsp.example.com')
        self.assertIssuer(ca, ca)
        self.assertAuthorityKeyIdentifier(ca, ca) 

def _openssh_public_key_bytes(self, key):
        if isinstance(key, rsa.RSAPublicKey):
            public_numbers = key.public_numbers()
            return b"ssh-rsa " + base64.b64encode(
                ssh._ssh_write_string(b"ssh-rsa") +
                ssh._ssh_write_mpint(public_numbers.e) +
                ssh._ssh_write_mpint(public_numbers.n)
            )
        elif isinstance(key, dsa.DSAPublicKey):
            public_numbers = key.public_numbers()
            parameter_numbers = public_numbers.parameter_numbers
            return b"ssh-dss " + base64.b64encode(
                ssh._ssh_write_string(b"ssh-dss") +
                ssh._ssh_write_mpint(parameter_numbers.p) +
                ssh._ssh_write_mpint(parameter_numbers.q) +
                ssh._ssh_write_mpint(parameter_numbers.g) +
                ssh._ssh_write_mpint(public_numbers.y)
            )
        else:
            assert isinstance(key, ec.EllipticCurvePublicKey)
            public_numbers = key.public_numbers()
            try:
                curve_name = {
                    ec.SECP256R1: b"nistp256",
                    ec.SECP384R1: b"nistp384",
                    ec.SECP521R1: b"nistp521",
                }[type(public_numbers.curve)]
            except KeyError:
                raise ValueError(
                    "Only SECP256R1, SECP384R1, and SECP521R1 curves are "
                    "supported by the SSH public key format"
                )

            point = key.public_bytes(
                serialization.Encoding.X962,
                serialization.PublicFormat.UncompressedPoint
            )
            return b"ecdsa-sha2-" + curve_name + b" " + base64.b64encode(
                ssh._ssh_write_string(b"ecdsa-sha2-" + curve_name) +
                ssh._ssh_write_string(curve_name) +
                ssh._ssh_write_string(point)
            ) 

def data(self):
        """
        Return the values of the public key as a dictionary.

        @rtype: L{dict}
        """
        if isinstance(self._keyObject, rsa.RSAPublicKey):
            numbers = self._keyObject.public_numbers()
            return {
                "n": numbers.n,
                "e": numbers.e,
            }
        elif isinstance(self._keyObject, rsa.RSAPrivateKey):
            numbers = self._keyObject.private_numbers()
            return {
                "n": numbers.public_numbers.n,
                "e": numbers.public_numbers.e,
                "d": numbers.d,
                "p": numbers.p,
                "q": numbers.q,
                # Use a trick: iqmp is q^-1 % p, u is p^-1 % q
                "u": rsa.rsa_crt_iqmp(numbers.q, numbers.p),
            }
        elif isinstance(self._keyObject, dsa.DSAPublicKey):
            numbers = self._keyObject.public_numbers()
            return {
                "y": numbers.y,
                "g": numbers.parameter_numbers.g,
                "p": numbers.parameter_numbers.p,
                "q": numbers.parameter_numbers.q,
            }
        elif isinstance(self._keyObject, dsa.DSAPrivateKey):
            numbers = self._keyObject.private_numbers()
            return {
                "x": numbers.x,
                "y": numbers.public_numbers.y,
                "g": numbers.public_numbers.parameter_numbers.g,
                "p": numbers.public_numbers.parameter_numbers.p,
                "q": numbers.public_numbers.parameter_numbers.q,
            }
        elif isinstance(self._keyObject, ec.EllipticCurvePublicKey):
            numbers = self._keyObject.public_numbers()
            return {
                "x": numbers.x,
                "y": numbers.y,
                "curve": self.sshType(),
            }
        elif isinstance(self._keyObject, ec.EllipticCurvePrivateKey):
            numbers = self._keyObject.private_numbers()
            return {
                "x": numbers.public_numbers.x,
                "y": numbers.public_numbers.y,
                "privateValue": numbers.private_value,
                "curve": self.sshType(),
            }

        else:
            raise RuntimeError("Unexpected key type: %s" % (self._keyObject,)) 

def _openssh_public_key_bytes(self, key):
        if isinstance(key, rsa.RSAPublicKey):
            public_numbers = key.public_numbers()
            return b"ssh-rsa " + base64.b64encode(
                ssh._ssh_write_string(b"ssh-rsa") +
                ssh._ssh_write_mpint(public_numbers.e) +
                ssh._ssh_write_mpint(public_numbers.n)
            )
        elif isinstance(key, dsa.DSAPublicKey):
            public_numbers = key.public_numbers()
            parameter_numbers = public_numbers.parameter_numbers
            return b"ssh-dss " + base64.b64encode(
                ssh._ssh_write_string(b"ssh-dss") +
                ssh._ssh_write_mpint(parameter_numbers.p) +
                ssh._ssh_write_mpint(parameter_numbers.q) +
                ssh._ssh_write_mpint(parameter_numbers.g) +
                ssh._ssh_write_mpint(public_numbers.y)
            )
        elif isinstance(key, ed25519.Ed25519PublicKey):
            raw_bytes = key.public_bytes(serialization.Encoding.Raw,
                                         serialization.PublicFormat.Raw)
            return b"ssh-ed25519 " + base64.b64encode(
                ssh._ssh_write_string(b"ssh-ed25519") +
                ssh._ssh_write_string(raw_bytes)
            )
        elif isinstance(key, ec.EllipticCurvePublicKey):
            public_numbers = key.public_numbers()
            try:
                curve_name = {
                    ec.SECP256R1: b"nistp256",
                    ec.SECP384R1: b"nistp384",
                    ec.SECP521R1: b"nistp521",
                }[type(public_numbers.curve)]
            except KeyError:
                raise ValueError(
                    "Only SECP256R1, SECP384R1, and SECP521R1 curves are "
                    "supported by the SSH public key format"
                )

            point = key.public_bytes(
                serialization.Encoding.X962,
                serialization.PublicFormat.UncompressedPoint
            )
            return b"ecdsa-sha2-" + curve_name + b" " + base64.b64encode(
                ssh._ssh_write_string(b"ecdsa-sha2-" + curve_name) +
                ssh._ssh_write_string(curve_name) +
                ssh._ssh_write_string(point)
            )
        else:
            raise ValueError(
                "OpenSSH encoding is not supported for this key type"
            )