%%
%% %CopyrightBegin%
%%
%% Copyright Ericsson AB 2008-2015. All Rights Reserved.
%%
%% The contents of this file are subject to the Erlang Public License,
%% Version 1.1, (the "License"); you may not use this file except in
%% compliance with the License. You should have received a copy of the
%% Erlang Public License along with this software. If not, it can be
%% retrieved online at http://www.erlang.org/.
%%
%% Software distributed under the License is distributed on an "AS IS"
%% basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See
%% the License for the specific language governing rights and limitations
%% under the License.
%%
%% %CopyrightEnd%
%%
%%
-module(public_key_SUITE).
-include_lib("common_test/include/ct.hrl").
-include_lib("public_key/include/public_key.hrl").
%% Note: This directive should only be used in test suites.
-compile(export_all).
-define(TIMEOUT, 120000). % 2 min
%%--------------------------------------------------------------------
%% Common Test interface functions -----------------------------------
%%--------------------------------------------------------------------
suite() -> [{ct_hooks,[ts_install_cth]}].
all() ->
[app, appup,
{group, pem_decode_encode},
{group, ssh_public_key_decode_encode},
encrypt_decrypt,
{group, sign_verify},
pkix, pkix_countryname, pkix_emailaddress, pkix_path_validation,
pkix_iso_rsa_oid, pkix_iso_dsa_oid, pkix_crl].
groups() ->
[{pem_decode_encode, [], [dsa_pem, rsa_pem, encrypted_pem,
dh_pem, cert_pem, pkcs7_pem, pkcs10_pem]},
{ssh_public_key_decode_encode, [],
[ssh_rsa_public_key, ssh_dsa_public_key, ssh_rfc4716_rsa_comment,
ssh_rfc4716_dsa_comment, ssh_rfc4716_rsa_subject, ssh_known_hosts,
ssh_auth_keys, ssh1_known_hosts, ssh1_auth_keys, ssh_openssh_public_key_with_comment,
ssh_openssh_public_key_long_header]},
{sign_verify, [], [rsa_sign_verify, dsa_sign_verify]}
].
%%-------------------------------------------------------------------
init_per_suite(Config) ->
application:stop(crypto),
try crypto:start() of
ok ->
application:start(asn1),
Config
catch _:_ ->
{skip, "Crypto did not start"}
end.
end_per_suite(_Config) ->
application:stop(asn1),
application:stop(crypto).
%%-------------------------------------------------------------------
init_per_group(_GroupName, Config) ->
Config.
end_per_group(_GroupName, Config) ->
Config.
%%-------------------------------------------------------------------
init_per_testcase(_TestCase, Config0) ->
Config = lists:keydelete(watchdog, 1, Config0),
Dog = ct:timetrap(?TIMEOUT),
[{watchdog, Dog} | Config].
end_per_testcase(_TestCase, _Config) ->
ok.
%%--------------------------------------------------------------------
%% Test Cases --------------------------------------------------------
%%--------------------------------------------------------------------
app() ->
[{doc, "Test that the public_key app file is ok"}].
app(Config) when is_list(Config) ->
ok = ?t:app_test(public_key).
%%--------------------------------------------------------------------
appup() ->
[{doc, "Test that the public_key appup file is ok"}].
appup(Config) when is_list(Config) ->
ok = ?t:appup_test(public_key).
%%--------------------------------------------------------------------
dsa_pem() ->
[{doc, "DSA PEM-file decode/encode"}].
dsa_pem(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
[{'DSAPrivateKey', DerDSAKey, not_encrypted} = Entry0 ] =
erl_make_certs:pem_to_der(filename:join(Datadir, "dsa.pem")),
DSAKey = public_key:der_decode('DSAPrivateKey', DerDSAKey),
DSAKey = public_key:pem_entry_decode(Entry0),
{ok, DSAPubPem} = file:read_file(filename:join(Datadir, "dsa_pub.pem")),
[{'SubjectPublicKeyInfo', _, _} = PubEntry0] =
public_key:pem_decode(DSAPubPem),
DSAPubKey = public_key:pem_entry_decode(PubEntry0),
true = check_entry_type(DSAPubKey, 'DSAPublicKey'),
PubEntry0 = public_key:pem_entry_encode('SubjectPublicKeyInfo', DSAPubKey),
DSAPubPemNoEndNewLines = strip_ending_newlines(DSAPubPem),
DSAPubPemNoEndNewLines = strip_ending_newlines(public_key:pem_encode([PubEntry0])).
%%--------------------------------------------------------------------
rsa_pem() ->
[{doc, "RSA PEM-file decode/encode"}].
rsa_pem(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
[{'RSAPrivateKey', DerRSAKey, not_encrypted} = Entry0 ] =
erl_make_certs:pem_to_der(filename:join(Datadir, "client_key.pem")),
RSAKey0 = public_key:der_decode('RSAPrivateKey', DerRSAKey),
RSAKey0 = public_key:pem_entry_decode(Entry0),
[{'RSAPrivateKey', _, {_,_}} = Entry1] =
erl_make_certs:pem_to_der(filename:join(Datadir, "rsa.pem")),
true = check_entry_type(public_key:pem_entry_decode(Entry1, "abcd1234"),
'RSAPrivateKey'),
{ok, RSAPubPem} = file:read_file(filename:join(Datadir, "rsa_pub.pem")),
[{'SubjectPublicKeyInfo', _, _} = PubEntry0] =
public_key:pem_decode(RSAPubPem),
RSAPubKey = public_key:pem_entry_decode(PubEntry0),
true = check_entry_type(RSAPubKey, 'RSAPublicKey'),
PubEntry0 = public_key:pem_entry_encode('SubjectPublicKeyInfo', RSAPubKey),
RSAPubPemNoEndNewLines = strip_ending_newlines(RSAPubPem),
RSAPubPemNoEndNewLines = strip_ending_newlines(public_key:pem_encode([PubEntry0])),
{ok, RSARawPem} = file:read_file(filename:join(Datadir, "rsa_pub_key.pem")),
[{'RSAPublicKey', _, _} = PubEntry1] =
public_key:pem_decode(RSARawPem),
RSAPubKey = public_key:pem_entry_decode(PubEntry1),
RSARawPemNoEndNewLines = strip_ending_newlines(RSARawPem),
RSARawPemNoEndNewLines = strip_ending_newlines(public_key:pem_encode([PubEntry1])).
%%--------------------------------------------------------------------
encrypted_pem() ->
[{doc, "Encrypted PEM-file decode/encode"}].
encrypted_pem(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
[{'RSAPrivateKey', DerRSAKey, not_encrypted}] =
erl_make_certs:pem_to_der(filename:join(Datadir, "client_key.pem")),
RSAKey = public_key:der_decode('RSAPrivateKey', DerRSAKey),
Salt0 = crypto:rand_bytes(8),
Entry0 = public_key:pem_entry_encode('RSAPrivateKey', RSAKey,
{{"DES-EDE3-CBC", Salt0}, "1234abcd"}),
RSAKey = public_key:pem_entry_decode(Entry0,"1234abcd"),
Des3KeyFile = filename:join(Datadir, "des3_client_key.pem"),
erl_make_certs:der_to_pem(Des3KeyFile, [Entry0]),
[{'RSAPrivateKey', _, {"DES-EDE3-CBC", Salt0}}] =
erl_make_certs:pem_to_der(Des3KeyFile),
Salt1 = crypto:rand_bytes(8),
Entry1 = public_key:pem_entry_encode('RSAPrivateKey', RSAKey,
{{"DES-CBC", Salt1}, "4567efgh"}),
DesKeyFile = filename:join(Datadir, "des_client_key.pem"),
erl_make_certs:der_to_pem(DesKeyFile, [Entry1]),
[{'RSAPrivateKey', _, {"DES-CBC", Salt1}} =Entry2] =
erl_make_certs:pem_to_der(DesKeyFile),
true = check_entry_type(public_key:pem_entry_decode(Entry2, "4567efgh"),
'RSAPrivateKey').
%%--------------------------------------------------------------------
dh_pem() ->
[{doc, "DH parametrs PEM-file decode/encode"}].
dh_pem(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
[{'DHParameter', _DerDH, not_encrypted} = Entry] =
erl_make_certs:pem_to_der(filename:join(Datadir, "dh.pem")),
asn1_encode_decode(Entry).
%%--------------------------------------------------------------------
pkcs10_pem() ->
[{doc, "PKCS-10 PEM-file decode/encode"}].
pkcs10_pem(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
[{'CertificationRequest', _DerPKCS10, not_encrypted} = Entry] =
erl_make_certs:pem_to_der(filename:join(Datadir, "req.pem")),
asn1_encode_decode(Entry).
%%--------------------------------------------------------------------
pkcs7_pem() ->
[{doc, "PKCS-7 PEM-file decode/encode"}].
pkcs7_pem(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
[{'ContentInfo', _, not_encrypted} = Entry0] =
erl_make_certs:pem_to_der(filename:join(Datadir, "pkcs7_cert.pem")),
[{'ContentInfo', _, not_encrypted} = Entry1] =
erl_make_certs:pem_to_der(filename:join(Datadir, "pkcs7_ext.pem")),
asn1_encode_decode(Entry0),
asn1_encode_decode(Entry1).
%%--------------------------------------------------------------------
cert_pem() ->
[{doc, "Certificate PEM-file decode/encode"}].
cert_pem(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
[{'Certificate', _, not_encrypted} = Entry0] =
erl_make_certs:pem_to_der(filename:join(Datadir, "client_cert.pem")),
asn1_encode_decode(Entry0),
[{'Certificate', _, not_encrypted} = Entry1,
{'Certificate', _, not_encrypted} = Entry2] =
erl_make_certs:pem_to_der(filename:join(Datadir, "cacerts.pem")),
asn1_encode_decode(Entry1),
asn1_encode_decode(Entry2).
%%--------------------------------------------------------------------
ssh_rsa_public_key() ->
[{doc, "ssh rsa public key decode/encode"}].
ssh_rsa_public_key(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
{ok, RSARawSsh2} = file:read_file(filename:join(Datadir, "ssh2_rsa_pub")),
[{PubKey, Attributes1}] = public_key:ssh_decode(RSARawSsh2, public_key),
[{PubKey, Attributes1}] = public_key:ssh_decode(RSARawSsh2, rfc4716_public_key),
{ok, RSARawOpenSsh} = file:read_file(filename:join(Datadir, "openssh_rsa_pub")),
[{PubKey, Attributes2}] = public_key:ssh_decode(RSARawOpenSsh, public_key),
[{PubKey, Attributes2}] = public_key:ssh_decode(RSARawOpenSsh, openssh_public_key),
%% Can not check EncodedSSh == RSARawSsh2 and EncodedOpenSsh
%% = RSARawOpenSsh as line breakpoints may differ
EncodedSSh = public_key:ssh_encode([{PubKey, Attributes1}], rfc4716_public_key),
EncodedOpenSsh = public_key:ssh_encode([{PubKey, Attributes2}], openssh_public_key),
[{PubKey, Attributes1}] =
public_key:ssh_decode(EncodedSSh, public_key),
[{PubKey, Attributes2}] =
public_key:ssh_decode(EncodedOpenSsh, public_key).
%%--------------------------------------------------------------------
ssh_dsa_public_key() ->
[{doc, "ssh dsa public key decode/encode"}].
ssh_dsa_public_key(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
{ok, DSARawSsh2} = file:read_file(filename:join(Datadir, "ssh2_dsa_pub")),
[{PubKey, Attributes1}] = public_key:ssh_decode(DSARawSsh2, public_key),
[{PubKey, Attributes1}] = public_key:ssh_decode(DSARawSsh2, rfc4716_public_key),
{ok, DSARawOpenSsh} = file:read_file(filename:join(Datadir, "openssh_dsa_pub")),
[{PubKey, Attributes2}] = public_key:ssh_decode(DSARawOpenSsh, public_key),
[{PubKey, Attributes2}] = public_key:ssh_decode(DSARawOpenSsh, openssh_public_key),
%% Can not check EncodedSSh == DSARawSsh2 and EncodedOpenSsh
%% = DSARawOpenSsh as line breakpoints may differ
EncodedSSh = public_key:ssh_encode([{PubKey, Attributes1}], rfc4716_public_key),
EncodedOpenSsh = public_key:ssh_encode([{PubKey, Attributes2}], openssh_public_key),
[{PubKey, Attributes1}] =
public_key:ssh_decode(EncodedSSh, public_key),
[{PubKey, Attributes2}] =
public_key:ssh_decode(EncodedOpenSsh, public_key).
%%--------------------------------------------------------------------
ssh_rfc4716_rsa_comment() ->
[{doc, "Test comment header and rsa key"}].
ssh_rfc4716_rsa_comment(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
{ok, RSARawSsh2} = file:read_file(filename:join(Datadir, "ssh2_rsa_comment_pub")),
[{#'RSAPublicKey'{} = PubKey, Attributes}] =
public_key:ssh_decode(RSARawSsh2, public_key),
Headers = proplists:get_value(headers, Attributes),
Value = proplists:get_value("Comment", Headers, undefined),
true = Value =/= undefined,
RSARawSsh2 = public_key:ssh_encode([{PubKey, Attributes}], rfc4716_public_key).
%%--------------------------------------------------------------------
ssh_rfc4716_dsa_comment() ->
[{doc, "Test comment header and dsa key"}].
ssh_rfc4716_dsa_comment(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
{ok, DSARawSsh2} = file:read_file(filename:join(Datadir, "ssh2_dsa_comment_pub")),
[{{_, #'Dss-Parms'{}} = PubKey, Attributes}] =
public_key:ssh_decode(DSARawSsh2, public_key),
Headers = proplists:get_value(headers, Attributes),
Value = proplists:get_value("Comment", Headers, undefined),
true = Value =/= undefined,
%% Can not check Encoded == DSARawSsh2 as line continuation breakpoints may differ
Encoded = public_key:ssh_encode([{PubKey, Attributes}], rfc4716_public_key),
[{PubKey, Attributes}] =
public_key:ssh_decode(Encoded, public_key).
%%--------------------------------------------------------------------
ssh_rfc4716_rsa_subject() ->
[{doc, "Test another header value than comment"}].
ssh_rfc4716_rsa_subject(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
{ok, RSARawSsh2} = file:read_file(filename:join(Datadir, "ssh2_subject_pub")),
[{#'RSAPublicKey'{} = PubKey, Attributes}] =
public_key:ssh_decode(RSARawSsh2, public_key),
Headers = proplists:get_value(headers, Attributes),
Value = proplists:get_value("Subject", Headers, undefined),
true = Value =/= undefined,
%% Can not check Encoded == RSARawSsh2 as line continuation breakpoints may differ
Encoded = public_key:ssh_encode([{PubKey, Attributes}], rfc4716_public_key),
[{PubKey, Attributes}] =
public_key:ssh_decode(Encoded, public_key).
%%--------------------------------------------------------------------
ssh_known_hosts() ->
[{doc, "ssh known hosts file encode/decode"}].
ssh_known_hosts(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
{ok, SshKnownHosts} = file:read_file(filename:join(Datadir, "known_hosts")),
[{#'RSAPublicKey'{}, Attributes1}, {#'RSAPublicKey'{}, Attributes2},
{#'RSAPublicKey'{}, Attributes3}, {#'RSAPublicKey'{}, Attributes4}] = Decoded =
public_key:ssh_decode(SshKnownHosts, known_hosts),
Comment1 = undefined,
Comment2 = "[email protected]",
Comment3 = "Comment with whitespaces",
Comment4 = "[email protected] Comment with whitespaces",
Comment1 = proplists:get_value(comment, Attributes1, undefined),
Comment2 = proplists:get_value(comment, Attributes2),
Comment3 = proplists:get_value(comment, Attributes3),
Comment4 = proplists:get_value(comment, Attributes4),
Value1 = proplists:get_value(hostnames, Attributes1, undefined),
Value2 = proplists:get_value(hostnames, Attributes2, undefined),
true = (Value1 =/= undefined) and (Value2 =/= undefined),
Encoded = public_key:ssh_encode(Decoded, known_hosts),
Decoded = public_key:ssh_decode(Encoded, known_hosts).
%%--------------------------------------------------------------------
ssh1_known_hosts() ->
[{doc, "ssh (ver 1) known hosts file encode/decode"}].
ssh1_known_hosts(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
{ok, SshKnownHosts} = file:read_file(filename:join(Datadir, "ssh1_known_hosts")),
[{#'RSAPublicKey'{}, Attributes1}, {#'RSAPublicKey'{}, Attributes2},{#'RSAPublicKey'{}, Attributes3}]
= Decoded = public_key:ssh_decode(SshKnownHosts, known_hosts),
Value1 = proplists:get_value(hostnames, Attributes1, undefined),
Value2 = proplists:get_value(hostnames, Attributes2, undefined),
true = (Value1 =/= undefined) and (Value2 =/= undefined),
Comment ="dhopson@VMUbuntu-DSH comment with whitespaces",
Comment = proplists:get_value(comment, Attributes3),
Encoded = public_key:ssh_encode(Decoded, known_hosts),
Decoded = public_key:ssh_decode(Encoded, known_hosts).
%%--------------------------------------------------------------------
ssh_auth_keys() ->
[{doc, "ssh authorized keys file encode/decode"}].
ssh_auth_keys(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
{ok, SshAuthKeys} = file:read_file(filename:join(Datadir, "auth_keys")),
[{#'RSAPublicKey'{}, Attributes1}, {{_, #'Dss-Parms'{}}, Attributes2},
{#'RSAPublicKey'{}, Attributes3}, {{_, #'Dss-Parms'{}}, Attributes4}
] = Decoded =
public_key:ssh_decode(SshAuthKeys, auth_keys),
Value1 = proplists:get_value(options, Attributes1, undefined),
true = Value1 =/= undefined,
Comment1 = Comment2 = "dhopson@VMUbuntu-DSH",
Comment3 = Comment4 ="dhopson@VMUbuntu-DSH comment with whitespaces",
Comment1 = proplists:get_value(comment, Attributes1),
Comment2 = proplists:get_value(comment, Attributes2),
Comment3 = proplists:get_value(comment, Attributes3),
Comment4 = proplists:get_value(comment, Attributes4),
Encoded = public_key:ssh_encode(Decoded, auth_keys),
Decoded = public_key:ssh_decode(Encoded, auth_keys).
%%--------------------------------------------------------------------
ssh1_auth_keys() ->
[{doc, "ssh (ver 1) authorized keys file encode/decode"}].
ssh1_auth_keys(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
{ok, SshAuthKeys} = file:read_file(filename:join(Datadir, "ssh1_auth_keys")),
[{#'RSAPublicKey'{}, Attributes1},
{#'RSAPublicKey'{}, Attributes2}, {#'RSAPublicKey'{}, Attributes3},
{#'RSAPublicKey'{}, Attributes4}, {#'RSAPublicKey'{}, Attributes5}] = Decoded =
public_key:ssh_decode(SshAuthKeys, auth_keys),
Value1 = proplists:get_value(bits, Attributes2, undefined),
Value2 = proplists:get_value(bits, Attributes3, undefined),
true = (Value1 =/= undefined) and (Value2 =/= undefined),
Comment2 = Comment3 = "dhopson@VMUbuntu-DSH",
Comment4 = Comment5 ="dhopson@VMUbuntu-DSH comment with whitespaces",
undefined = proplists:get_value(comment, Attributes1, undefined),
Comment2 = proplists:get_value(comment, Attributes2),
Comment3 = proplists:get_value(comment, Attributes3),
Comment4 = proplists:get_value(comment, Attributes4),
Comment5 = proplists:get_value(comment, Attributes5),
Encoded = public_key:ssh_encode(Decoded, auth_keys),
Decoded = public_key:ssh_decode(Encoded, auth_keys).
%%--------------------------------------------------------------------
ssh_openssh_public_key_with_comment() ->
[{doc, "Test that emty lines and lines starting with # are ignored"}].
ssh_openssh_public_key_with_comment(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
{ok, DSARawOpenSsh} = file:read_file(filename:join(Datadir, "openssh_dsa_with_comment_pub")),
[{{_, #'Dss-Parms'{}}, _}] = public_key:ssh_decode(DSARawOpenSsh, openssh_public_key).
%%--------------------------------------------------------------------
ssh_openssh_public_key_long_header() ->
[{doc, "Test that long headers are handled"}].
ssh_openssh_public_key_long_header(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
{ok,RSARawOpenSsh} = file:read_file(filename:join(Datadir, "ssh_rsa_long_header_pub")),
[{#'RSAPublicKey'{}, _}] = Decoded = public_key:ssh_decode(RSARawOpenSsh, public_key),
Encoded = public_key:ssh_encode(Decoded, rfc4716_public_key),
Decoded = public_key:ssh_decode(Encoded, rfc4716_public_key).
%%--------------------------------------------------------------------
encrypt_decrypt() ->
[{doc, "Test public_key:encrypt_private and public_key:decrypt_public"}].
encrypt_decrypt(Config) when is_list(Config) ->
{PrivateKey, _DerKey} = erl_make_certs:gen_rsa(64),
#'RSAPrivateKey'{modulus=Mod, publicExponent=Exp} = PrivateKey,
PublicKey = #'RSAPublicKey'{modulus=Mod, publicExponent=Exp},
Msg = list_to_binary(lists:duplicate(5, "Foo bar 100")),
RsaEncrypted = public_key:encrypt_private(Msg, PrivateKey),
Msg = public_key:decrypt_public(RsaEncrypted, PublicKey),
Msg = public_key:decrypt_public(RsaEncrypted, PrivateKey),
RsaEncrypted2 = public_key:encrypt_public(Msg, PublicKey),
RsaEncrypted3 = public_key:encrypt_public(Msg, PrivateKey),
Msg = public_key:decrypt_private(RsaEncrypted2, PrivateKey),
Msg = public_key:decrypt_private(RsaEncrypted3, PrivateKey),
ok.
%%--------------------------------------------------------------------
rsa_sign_verify() ->
[{doc, "Checks that we can sign and verify rsa signatures."}].
rsa_sign_verify(Config) when is_list(Config) ->
Ca = {_, CaKey} = erl_make_certs:make_cert([]),
{Cert1, _} = erl_make_certs:make_cert([{key, dsa}, {issuer, Ca}]),
PrivateRSA = #'RSAPrivateKey'{modulus=Mod, publicExponent=Exp} =
public_key:pem_entry_decode(CaKey),
PublicRSA = #'RSAPublicKey'{modulus=Mod, publicExponent=Exp},
true = public_key:pkix_verify(Cert1, PublicRSA),
Msg = list_to_binary(lists:duplicate(5, "Foo bar 100")),
RSASign = public_key:sign(Msg, sha, PrivateRSA),
true = public_key:verify(Msg, sha, RSASign, PublicRSA),
false = public_key:verify(<<1:8, Msg/binary>>, sha, RSASign, PublicRSA),
false = public_key:verify(Msg, sha, <<1:8, RSASign/binary>>, PublicRSA),
RSASign1 = public_key:sign(Msg, md5, PrivateRSA),
true = public_key:verify(Msg, md5, RSASign1, PublicRSA).
%%--------------------------------------------------------------------
dsa_sign_verify() ->
[{doc, "Checks that we can sign and verify dsa signatures."}].
dsa_sign_verify(Config) when is_list(Config) ->
Ca = erl_make_certs:make_cert([]),
CertInfo = {_,CertKey1} = erl_make_certs:make_cert([{key, dsa}, {issuer, Ca}]),
{Cert2,_CertKey} = erl_make_certs:make_cert([{issuer, CertInfo}]),
#'DSAPrivateKey'{p=P, q=Q, g=G, y=Y, x=_X} =
public_key:pem_entry_decode(CertKey1),
true = public_key:pkix_verify(Cert2, {Y, #'Dss-Parms'{p=P, q=Q, g=G}}),
Datadir = ?config(data_dir, Config),
[DsaKey = {'DSAPrivateKey', _, _}] =
erl_make_certs:pem_to_der(filename:join(Datadir, "dsa.pem")),
DSAPrivateKey = public_key:pem_entry_decode(DsaKey),
#'DSAPrivateKey'{p=P1, q=Q1, g=G1, y=Y1, x=_X1} = DSAPrivateKey,
Msg = list_to_binary(lists:duplicate(5, "Foo bar 100")),
DSASign = public_key:sign(Msg, sha, DSAPrivateKey),
DSAPublicKey = Y1,
DSAParams = #'Dss-Parms'{p=P1, q=Q1, g=G1},
true = public_key:verify(Msg, sha, DSASign, {DSAPublicKey, DSAParams}),
false = public_key:verify(<<1:8, Msg/binary>>, sha, DSASign,
{DSAPublicKey, DSAParams}),
false = public_key:verify(Msg, sha, <<1:8, DSASign/binary>>,
{DSAPublicKey, DSAParams}),
Digest = crypto:hash(sha,Msg),
DigestSign = public_key:sign(Digest, none, DSAPrivateKey),
true = public_key:verify(Digest, none, DigestSign, {DSAPublicKey, DSAParams}),
<<_:8, RestDigest/binary>> = Digest,
false = public_key:verify(<<1:8, RestDigest/binary>>, none, DigestSign,
{DSAPublicKey, DSAParams}),
false = public_key:verify(Digest, none, <<1:8, DigestSign/binary>>,
{DSAPublicKey, DSAParams}).
%%--------------------------------------------------------------------
pkix() ->
[{doc, "Misc pkix tests not covered elsewhere"}].
pkix(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
Certs0 = erl_make_certs:pem_to_der(filename:join(Datadir, "cacerts.pem")),
Certs1 = erl_make_certs:pem_to_der(filename:join(Datadir, "client_cert.pem")),
TestTransform = fun({'Certificate', CertDer, not_encrypted}) ->
PlainCert = public_key:pkix_decode_cert(CertDer, plain),
OtpCert = public_key:pkix_decode_cert(CertDer, otp),
CertDer =
public_key:pkix_encode('OTPCertificate', OtpCert, otp),
CertDer =
public_key:pkix_encode('Certificate', PlainCert, plain),
OTPTBS = OtpCert#'OTPCertificate'.tbsCertificate,
OTPSubj = OTPTBS#'OTPTBSCertificate'.subject,
DNEncoded = public_key:pkix_encode('Name', OTPSubj, otp),
PlainTBS = PlainCert#'Certificate'.tbsCertificate,
Subj2 = PlainTBS#'TBSCertificate'.subject,
DNEncoded = public_key:pkix_encode('Name', Subj2, plain),
false = public_key:pkix_is_fixed_dh_cert(CertDer)
end,
[TestTransform(Cert) || Cert <- Certs0 ++ Certs1],
true = public_key:pkix_is_self_signed(element(2,hd(Certs0))),
false = public_key:pkix_is_self_signed(element(2,hd(Certs1))),
CaIds = [element(2, public_key:pkix_issuer_id(Cert, self)) ||
{'Certificate', Cert, _} <- Certs0],
{ok, IssuerId = {_, _IssuerName}} =
public_key:pkix_issuer_id(element(2,hd(Certs1)), other),
true = lists:member(IssuerId, CaIds),
%% Should be normalized allready
TestStr = {rdnSequence,
[[{'AttributeTypeAndValue', {2,5,4,3},{printableString,"ERLANGCA"}}],
[{'AttributeTypeAndValue', {2,5,4,3},{printableString," erlang ca "}}]]},
VerifyStr = {rdnSequence,
[[{'AttributeTypeAndValue', {2,5,4,3},{printableString,"erlangca"}}],
[{'AttributeTypeAndValue', {2,5,4,3},{printableString,"erlang ca"}}]]},
VerifyStr = public_key:pkix_normalize_name(TestStr),
ok.
%%--------------------------------------------------------------------
pkix_countryname() ->
[{doc, "Test workaround for certs that code x509countryname as utf8"}].
pkix_countryname(Config) when is_list(Config) ->
Cert = incorrect_countryname_pkix_cert(),
OTPCert = public_key:pkix_decode_cert(Cert, otp),
TBSCert = OTPCert#'OTPCertificate'.tbsCertificate,
Issuer = TBSCert#'OTPTBSCertificate'.issuer,
Subj = TBSCert#'OTPTBSCertificate'.subject,
check_countryname(Issuer),
check_countryname(Subj).
%%--------------------------------------------------------------------
pkix_emailaddress() ->
[{doc, "Test workaround for certs that code emailAddress as utf8"}].
pkix_emailaddress(Config) when is_list(Config) ->
Cert = incorrect_emailaddress_pkix_cert(),
OTPCert = public_key:pkix_decode_cert(Cert, otp),
TBSCert = OTPCert#'OTPCertificate'.tbsCertificate,
Issuer = TBSCert#'OTPTBSCertificate'.issuer,
Subj = TBSCert#'OTPTBSCertificate'.subject,
check_emailaddress(Issuer),
check_emailaddress(Subj).
%%--------------------------------------------------------------------
pkix_path_validation() ->
[{doc, "Test PKIX path validation"}].
pkix_path_validation(Config) when is_list(Config) ->
CaK = {Trusted,_} =
erl_make_certs:make_cert([{key, dsa},
{subject, [
{name, "Public Key"},
{?'id-at-name', {printableString, "public_key"}},
{?'id-at-pseudonym', {printableString, "pubkey"}},
{city, "Stockholm"},
{country, "SE"},
{org, "erlang"},
{org_unit, "testing dep"}
]}
]),
ok = erl_make_certs:write_pem("./", "public_key_cacert", CaK),
CertK1 = {Cert1, _} = erl_make_certs:make_cert([{issuer, CaK}]),
CertK2 = {Cert2,_} = erl_make_certs:make_cert([{issuer, CertK1},
{digest, md5}, {extensions, false}]),
ok = erl_make_certs:write_pem("./", "public_key_cert", CertK2),
{ok, _} = public_key:pkix_path_validation(Trusted, [Cert1], []),
{error, {bad_cert,invalid_issuer}} =
public_key:pkix_path_validation(Trusted, [Cert2], []),
{ok, _} = public_key:pkix_path_validation(Trusted, [Cert1, Cert2], []),
{error, issuer_not_found} = public_key:pkix_issuer_id(Cert2, other),
CertK3 = {Cert3,_} = erl_make_certs:make_cert([{issuer, CertK1},
{extensions, [{basic_constraints, false}]}]),
{Cert4,_} = erl_make_certs:make_cert([{issuer, CertK3}, {extensions, [{key_usage, undefined}]}]),
{error, {bad_cert,missing_basic_constraint}} =
public_key:pkix_path_validation(Trusted, [Cert1, Cert3,Cert4], []),
VerifyFunAndState0 = {fun(_,{bad_cert, missing_basic_constraint}, UserState) ->
{valid, UserState};
(_,{bad_cert, _} = Reason, _) ->
{fail, Reason};
(_,{extension, _}, UserState) ->
{unknown, UserState};
(_, valid, UserState) ->
{valid, UserState};
(_, valid_peer, UserState) ->
{valid, UserState}
end, []},
{ok, _} =
public_key:pkix_path_validation(Trusted, [Cert1, Cert3,Cert4],
[{verify_fun, VerifyFunAndState0}]),
{error, {bad_cert, unknown_ca}} =
public_key:pkix_path_validation(unknown_ca, [Cert1, Cert3, Cert4], []),
VerifyFunAndState1 =
{fun(_,{bad_cert, unknown_ca}, UserState) ->
{valid, UserState};
(_,{bad_cert, _} = Reason, _) ->
{fail, Reason};
(_,{extension, _}, UserState) ->
{unknown, UserState};
(_, valid, UserState) ->
{valid, UserState}
end, []},
{ok, _} =
public_key:pkix_path_validation(unknown_ca, [Cert1], [{verify_fun,
VerifyFunAndState1}]),
ok.
%%--------------------------------------------------------------------
pkix_iso_rsa_oid() ->
[{doc, "Test workaround for supporting certs that use ISO oids"
" 1.3.14.3.2.29 instead of PKIX/PKCS oid"}].
pkix_iso_rsa_oid(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
{ok, PemCert} = file:read_file(filename:join(Datadir, "rsa_ISO.pem")),
[{_, Cert, _}] = public_key:pem_decode(PemCert),
OTPCert = public_key:pkix_decode_cert(Cert, otp),
SigAlg = OTPCert#'OTPCertificate'.signatureAlgorithm,
{_, rsa} = public_key:pkix_sign_types(SigAlg#'SignatureAlgorithm'.algorithm).
%%--------------------------------------------------------------------
pkix_iso_dsa_oid() ->
[{doc, "Test workaround for supporting certs that use ISO oids"
"1.3.14.3.2.27 instead of PKIX/PKCS oid"}].
pkix_iso_dsa_oid(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
{ok, PemCert} = file:read_file(filename:join(Datadir, "dsa_ISO.pem")),
[{_, Cert, _}] = public_key:pem_decode(PemCert),
OTPCert = public_key:pkix_decode_cert(Cert, otp),
SigAlg = OTPCert#'OTPCertificate'.signatureAlgorithm,
{_, dsa} = public_key:pkix_sign_types(SigAlg#'SignatureAlgorithm'.algorithm).
%%--------------------------------------------------------------------
pkix_crl() ->
[{doc, "test pkix_crl_* functions"}].
pkix_crl(Config) when is_list(Config) ->
Datadir = ?config(data_dir, Config),
{ok, PemCRL} = file:read_file(filename:join(Datadir, "idp_crl.pem")),
[{_, CRL, _}] = public_key:pem_decode(PemCRL),
{ok, IDPPemCert} = file:read_file(filename:join(Datadir, "idp_cert.pem")),
[{_, IDPCert, _}] = public_key:pem_decode(IDPPemCert),
{ok, SignPemCert} = file:read_file(filename:join(Datadir, "crl_signer.pem")),
[{_, SignCert, _}] = public_key:pem_decode(SignPemCert),
OTPIDPCert = public_key:pkix_decode_cert(IDPCert, otp),
OTPSignCert = public_key:pkix_decode_cert(SignCert, otp),
ERLCRL = public_key:der_decode('CertificateList',CRL),
{rdnSequence,_} = public_key:pkix_crl_issuer(CRL),
{rdnSequence,_} = public_key:pkix_crl_issuer(ERLCRL),
true = public_key:pkix_crl_verify(CRL, SignCert),
true = public_key:pkix_crl_verify(ERLCRL, OTPSignCert),
[#'DistributionPoint'{}|_] = public_key:pkix_dist_points(IDPCert),
[#'DistributionPoint'{}|_] = public_key:pkix_dist_points(OTPIDPCert),
#'DistributionPoint'{cRLIssuer = asn1_NOVALUE,
reasons = asn1_NOVALUE,
distributionPoint = Point} = public_key:pkix_dist_point(IDPCert),
#'DistributionPoint'{cRLIssuer = asn1_NOVALUE,
reasons = asn1_NOVALUE,
distributionPoint = Point} = public_key:pkix_dist_point(OTPIDPCert).
%%--------------------------------------------------------------------
%% Internal functions ------------------------------------------------
%%--------------------------------------------------------------------
asn1_encode_decode({Asn1Type, Der, not_encrypted} = Entry) ->
Decoded = public_key:der_decode(Asn1Type, Der),
Decoded = public_key:pem_entry_decode(Entry),
Entry = public_key:pem_entry_encode(Asn1Type, Decoded),
ok.
check_countryname({rdnSequence,DirName}) ->
do_check_countryname(DirName).
do_check_countryname([]) ->
ok;
do_check_countryname([#'AttributeTypeAndValue'{type = ?'id-at-countryName',
value = "US"}|_]) ->
ok;
do_check_countryname([#'AttributeTypeAndValue'{type = ?'id-at-countryName',
value = Value}|_]) ->
ct:fail({incorrect_country_name, Value});
do_check_countryname([_| Rest]) ->
do_check_countryname(Rest).
check_emailaddress({rdnSequence,DirName}) ->
do_check_emailaddress(DirName).
do_check_emailaddress([]) ->
ok;
do_check_emailaddress([#'AttributeTypeAndValue'{type = ?'id-emailAddress',
value = "[email protected]"}|_]) ->
ok;
do_check_emailaddress([#'AttributeTypeAndValue'{type = ?'id-emailAddress',
value = Value}|_]) ->
ct:fail({incorrect_email_address, Value});
do_check_emailaddress([_| Rest]) ->
do_check_emailaddress(Rest).
check_entry_type(#'DSAPrivateKey'{}, 'DSAPrivateKey') ->
true;
check_entry_type(#'RSAPrivateKey'{}, 'RSAPrivateKey') ->
true;
check_entry_type(#'RSAPublicKey'{}, 'RSAPublicKey') ->
true;
check_entry_type({_Int, #'Dss-Parms'{}}, 'DSAPublicKey') when is_integer(_Int) ->
true;
check_entry_type(#'DHParameter'{}, 'DHParameter') ->
true;
check_entry_type(#'Certificate'{}, 'Certificate') ->
true;
check_entry_type(_,_) ->
false.
strip_ending_newlines(Bin) ->
string:strip(binary_to_list(Bin), right, 10).
incorrect_countryname_pkix_cert() ->
<<48,130,5,186,48,130,4,162,160,3,2,1,2,2,7,7,250,61,63,6,140,137,48,13,6,9,42, 134,72,134,247,13,1,1,5,5,0,48,129,220,49,11,48,9,6,3,85,4,6,19,2,85,83,49, 16,48,14,6,3,85,4,8,19,7,65,114,105,122,111,110,97,49,19,48,17,6,3,85,4,7,19, 10,83,99,111,116,116,115,100,97,108,101,49,37,48,35,6,3,85,4,10,19,28,83,116, 97,114,102,105,101,108,100,32,84,101,99,104,110,111,108,111,103,105,101,115, 44,32,73,110,99,46,49,57,48,55,6,3,85,4,11,19,48,104,116,116,112,58,47,47,99, 101,114,116,105,102,105,99,97,116,101,115,46,115,116,97,114,102,105,101,108, 100,116,101,99,104,46,99,111,109,47,114,101,112,111,115,105,116,111,114,121, 49,49,48,47,6,3,85,4,3,19,40,83,116,97,114,102,105,101,108,100,32,83,101,99, 117,114,101,32,67,101,114,116,105,102,105,99,97,116,105,111,110,32,65,117, 116,104,111,114,105,116,121,49,17,48,15,6,3,85,4,5,19,8,49,48,54,56,56,52,51, 53,48,30,23,13,49,48,49,48,50,51,48,49,51,50,48,53,90,23,13,49,50,49,48,50, 51,48,49,51,50,48,53,90,48,122,49,11,48,9,6,3,85,4,6,12,2,85,83,49,11,48,9,6, 3,85,4,8,12,2,65,90,49,19,48,17,6,3,85,4,7,12,10,83,99,111,116,116,115,100, 97,108,101,49,38,48,36,6,3,85,4,10,12,29,83,112,101,99,105,97,108,32,68,111, 109,97,105,110,32,83,101,114,118,105,99,101,115,44,32,73,110,99,46,49,33,48, 31,6,3,85,4,3,12,24,42,46,108,111,103,105,110,46,115,101,99,117,114,101,115, 101,114,118,101,114,46,110,101,116,48,130,1,34,48,13,6,9,42,134,72,134,247, 13,1,1,1,5,0,3,130,1,15,0,48,130,1,10,2,130,1,1,0,185,136,240,80,141,36,124, 245,182,130,73,19,188,74,166,117,72,228,185,209,43,129,244,40,44,193,231,11, 209,12,234,88,43,142,1,162,48,122,17,95,230,105,171,131,12,147,46,204,36,80, 250,171,33,253,35,62,83,22,71,212,186,141,14,198,89,89,121,204,224,122,246, 127,110,188,229,162,67,95,6,74,231,127,99,131,7,240,85,102,203,251,50,58,58, 104,245,103,181,183,134,32,203,121,232,54,32,188,139,136,112,166,126,14,91, 223,153,172,164,14,61,38,163,208,215,186,210,136,213,143,70,147,173,109,217, 250,169,108,31,211,104,238,103,93,182,59,165,43,196,189,218,241,30,148,240, 109,90,69,176,194,52,116,173,151,135,239,10,209,179,129,192,102,75,11,25,168, 223,32,174,84,223,134,70,167,55,172,143,27,130,123,226,226,7,34,142,166,39, 48,246,96,231,150,84,220,106,133,193,55,95,159,227,24,249,64,36,1,142,171,16, 202,55,126,7,156,15,194,22,116,53,113,174,104,239,203,120,45,131,57,87,84, 163,184,27,83,57,199,91,200,34,43,98,61,180,144,76,65,170,177,2,3,1,0,1,163, 130,1,224,48,130,1,220,48,15,6,3,85,29,19,1,1,255,4,5,48,3,1,1,0,48,29,6,3, 85,29,37,4,22,48,20,6,8,43,6,1,5,5,7,3,1,6,8,43,6,1,5,5,7,3,2,48,14,6,3,85, 29,15,1,1,255,4,4,3,2,5,160,48,56,6,3,85,29,31,4,49,48,47,48,45,160,43,160, 41,134,39,104,116,116,112,58,47,47,99,114,108,46,115,116,97,114,102,105,101, 108,100,116,101,99,104,46,99,111,109,47,115,102,115,50,45,48,46,99,114,108, 48,83,6,3,85,29,32,4,76,48,74,48,72,6,11,96,134,72,1,134,253,110,1,7,23,2,48, 57,48,55,6,8,43,6,1,5,5,7,2,1,22,43,104,116,116,112,115,58,47,47,99,101,114, 116,115,46,115,116,97,114,102,105,101,108,100,116,101,99,104,46,99,111,109, 47,114,101,112,111,115,105,116,111,114,121,47,48,129,141,6,8,43,6,1,5,5,7,1, 1,4,129,128,48,126,48,42,6,8,43,6,1,5,5,7,48,1,134,30,104,116,116,112,58,47, 47,111,99,115,112,46,115,116,97,114,102,105,101,108,100,116,101,99,104,46,99, 111,109,47,48,80,6,8,43,6,1,5,5,7,48,2,134,68,104,116,116,112,58,47,47,99, 101,114,116,105,102,105,99,97,116,101,115,46,115,116,97,114,102,105,101,108, 100,116,101,99,104,46,99,111,109,47,114,101,112,111,115,105,116,111,114,121, 47,115,102,95,105,110,116,101,114,109,101,100,105,97,116,101,46,99,114,116, 48,31,6,3,85,29,35,4,24,48,22,128,20,73,75,82,39,209,27,188,242,161,33,106, 98,123,81,66,122,138,215,213,86,48,59,6,3,85,29,17,4,52,48,50,130,24,42,46, 108,111,103,105,110,46,115,101,99,117,114,101,115,101,114,118,101,114,46,110, 101,116,130,22,108,111,103,105,110,46,115,101,99,117,114,101,115,101,114,118, 101,114,46,110,101,116,48,29,6,3,85,29,14,4,22,4,20,138,233,191,208,157,203, 249,85,242,239,20,195,48,10,148,49,144,101,255,116,48,13,6,9,42,134,72,134, 247,13,1,1,5,5,0,3,130,1,1,0,82,31,121,162,49,50,143,26,167,202,143,61,71, 189,201,199,57,81,122,116,90,192,88,24,102,194,174,48,157,74,27,87,210,223, 253,93,3,91,150,109,120,1,110,27,11,200,198,141,222,246,14,200,71,105,41,138, 13,114,122,106,63,17,197,181,234,121,61,89,74,65,41,231,248,219,129,83,176, 219,55,107,55,211,112,98,38,49,69,77,96,221,108,123,152,12,210,159,157,141, 43,226,55,187,129,3,82,49,136,66,81,196,91,234,196,10,82,48,6,80,163,83,71, 127,102,177,93,209,129,26,104,2,84,24,255,248,161,3,244,169,234,92,122,110, 43,4,17,113,185,235,108,219,210,236,132,216,177,227,17,169,58,162,159,182, 162,93,160,229,200,9,163,229,110,121,240,168,232,14,91,214,188,196,109,210, 164,222,0,109,139,132,113,91,16,118,173,178,176,80,132,34,41,199,51,206,250, 224,132,60,115,192,94,107,163,219,212,226,225,65,169,148,108,213,46,174,173, 103,110,189,229,166,149,254,31,51,44,144,108,187,182,11,251,201,206,86,138, 208,59,51,86,132,235,81,225,88,34,190,8,184>>.
incorrect_emailaddress_pkix_cert() ->
<<48,130,3,74,48,130,2,50,2,9,0,133,49,203,25,198,156,252,230,48,13,6,9,42,134, 72,134,247,13,1,1,5,5,0,48,103,49,11,48,9,6,3,85,4,6,19,2,65,85,49,19,48,17, 6,3,85,4,8,12,10,83,111,109,101,45,83,116,97,116,101,49,33,48,31,6,3,85,4,10, 12,24,73,110,116,101,114,110,101,116,32,87,105,100,103,105,116,115,32,80,116, 121,32,76,116,100,49,32,48,30,6,9,42,134,72,134,247,13,1,9,1,12,17,105,110, 118,97,108,105,100,64,101,109,97,105,108,46,99,111,109,48,30,23,13,49,51,49, 49,48,55,50,48,53,54,49,56,90,23,13,49,52,49,49,48,55,50,48,53,54,49,56,90, 48,103,49,11,48,9,6,3,85,4,6,19,2,65,85,49,19,48,17,6,3,85,4,8,12,10,83,111, 109,101,45,83,116,97,116,101,49,33,48,31,6,3,85,4,10,12,24,73,110,116,101, 114,110,101,116,32,87,105,100,103,105,116,115,32,80,116,121,32,76,116,100,49, 32,48,30,6,9,42,134,72,134,247,13,1,9,1,12,17,105,110,118,97,108,105,100,64, 101,109,97,105,108,46,99,111,109,48,130,1,34,48,13,6,9,42,134,72,134,247,13, 1,1,1,5,0,3,130,1,15,0,48,130,1,10,2,130,1,1,0,190,243,49,213,219,60,232,105, 1,127,126,9,130,15,60,190,78,100,148,235,246,223,21,91,238,200,251,84,55,212, 78,32,120,61,85,172,0,144,248,5,165,29,143,79,64,178,51,153,203,76,115,238, 192,49,173,37,121,203,89,62,157,13,181,166,30,112,154,40,202,140,104,211,157, 73,244,9,78,236,70,153,195,158,233,141,42,238,2,143,160,225,249,27,30,140, 151,176,43,211,87,114,164,108,69,47,39,195,123,185,179,219,28,218,122,53,83, 77,48,81,184,14,91,243,12,62,146,86,210,248,228,171,146,225,87,51,146,155, 116,112,238,212,36,111,58,41,67,27,6,61,61,3,84,150,126,214,121,57,38,12,87, 121,67,244,37,45,145,234,131,115,134,58,194,5,36,166,52,59,229,32,47,152,80, 237,190,58,182,248,98,7,165,198,211,5,31,231,152,116,31,108,71,218,64,188, 178,143,27,167,79,15,112,196,103,116,212,65,197,94,37,4,132,103,91,217,73, 223,207,185,7,153,221,240,232,31,44,102,108,82,83,56,242,210,214,74,71,246, 177,217,148,227,220,230,4,176,226,74,194,37,2,3,1,0,1,48,13,6,9,42,134,72, 134,247,13,1,1,5,5,0,3,130,1,1,0,89,247,141,154,173,123,123,203,143,85,28,79, 73,37,164,6,17,89,171,224,149,22,134,17,198,146,158,192,241,41,253,58,230, 133,71,189,43,66,123,88,15,242,119,227,249,99,137,61,200,54,161,0,177,167, 169,114,80,148,90,22,97,78,162,181,75,93,209,116,245,46,81,232,64,157,93,136, 52,57,229,113,197,218,113,93,42,161,213,104,205,137,30,144,183,58,10,98,47, 227,177,96,40,233,98,150,209,217,68,22,221,133,27,161,152,237,46,36,179,59, 172,97,134,194,205,101,137,71,192,57,153,20,114,27,173,233,166,45,56,0,61, 205,45,202,139,7,132,103,248,193,157,184,123,43,62,172,236,110,49,62,209,78, 249,83,219,133,1,213,143,73,174,16,113,143,189,41,84,60,128,222,30,177,104, 134,220,52,239,171,76,59,176,36,113,176,214,118,16,44,235,21,167,199,216,200, 76,219,142,248,13,70,145,205,216,230,226,148,97,223,216,179,68,209,222,63, 140,137,24,164,192,149,194,79,119,247,75,159,49,116,70,241,70,116,11,40,119, 176,157,36,160,102,140,255,34,248,25,231,136,59>>.
