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-rw-r--r--lib/crypto/test/crypto_SUITE.erl426
1 files changed, 361 insertions, 65 deletions
diff --git a/lib/crypto/test/crypto_SUITE.erl b/lib/crypto/test/crypto_SUITE.erl
index 7b07cef33f..0c3b7a0445 100644
--- a/lib/crypto/test/crypto_SUITE.erl
+++ b/lib/crypto/test/crypto_SUITE.erl
@@ -29,52 +29,88 @@
suite() -> [{ct_hooks,[ts_install_cth]}].
-all() ->
+all() ->
[app,
appup,
- {group, md4},
- {group, md5},
- {group, ripemd160},
- {group, sha},
- {group, sha224},
- {group, sha256},
- {group, sha384},
- {group, sha512},
- {group, rsa},
- {group, dss},
- {group, ecdsa},
- {group, dh},
- {group, ecdh},
- {group, srp},
- {group, des_cbc},
- {group, des_cfb},
- {group, des3_cbc},
- {group, des3_cbf},
- {group, des3_cfb},
- {group, des_ede3},
- {group, blowfish_cbc},
- {group, blowfish_ecb},
- {group, blowfish_cfb64},
- {group, blowfish_ofb64},
- {group, aes_cbc128},
- {group, aes_cfb8},
- {group, aes_cfb128},
- {group, aes_cbc256},
- {group, aes_ecb},
- {group, aes_ige256},
- {group, rc2_cbc},
- {group, rc4},
- {group, aes_ctr},
- {group, aes_gcm},
- {group, chacha20_poly1305},
- {group, aes_cbc},
+ {group, fips},
+ {group, non_fips},
mod_pow,
exor,
rand_uniform
].
-groups() ->
- [{md4, [], [hash]},
+groups() ->
+ [{non_fips, [], [{group, md4},
+ {group, md5},
+ {group, ripemd160},
+ {group, sha},
+ {group, sha224},
+ {group, sha256},
+ {group, sha384},
+ {group, sha512},
+ {group, rsa},
+ {group, dss},
+ {group, ecdsa},
+ {group, dh},
+ {group, ecdh},
+ {group, srp},
+ {group, des_cbc},
+ {group, des_cfb},
+ {group, des3_cbc},
+ {group, des3_cbf},
+ {group, des3_cfb},
+ {group, des_ede3},
+ {group, blowfish_cbc},
+ {group, blowfish_ecb},
+ {group, blowfish_cfb64},
+ {group, blowfish_ofb64},
+ {group, aes_cbc128},
+ {group, aes_cfb8},
+ {group, aes_cfb128},
+ {group, aes_cbc256},
+ {group, aes_ige256},
+ {group, rc2_cbc},
+ {group, rc4},
+ {group, aes_ctr},
+ {group, aes_gcm},
+ {group, chacha20_poly1305},
+ {group, aes_cbc}]},
+ {fips, [], [{group, no_md4},
+ {group, no_md5},
+ {group, no_ripemd160},
+ {group, sha},
+ {group, sha224},
+ {group, sha256},
+ {group, sha384},
+ {group, sha512},
+ {group, rsa},
+ {group, dss},
+ {group, ecdsa},
+ {group, dh},
+ {group, ecdh},
+ {group, no_srp},
+ {group, no_des_cbc},
+ {group, no_des_cfb},
+ {group, des3_cbc},
+ {group, des3_cbf},
+ {group, des3_cfb},
+ {group, des_ede3},
+ {group, no_blowfish_cbc},
+ {group, no_blowfish_ecb},
+ {group, no_blowfish_cfb64},
+ {group, no_blowfish_ofb64},
+ {group, aes_cbc128},
+ {group, aes_cfb8},
+ {group, aes_cfb128},
+ {group, aes_cbc256},
+ {group, no_aes_ige256},
+ {group, no_rc2_cbc},
+ {group, no_rc4},
+ {group, aes_ctr},
+ {group, aes_gcm},
+ {group, no_chacha20_poly1305},
+ {group, aes_cbc}]},
+ {md4, [], [hash]},
{md5, [], [hash, hmac]},
{ripemd160, [], [hash]},
{sha, [], [hash, hmac]},
@@ -82,9 +118,9 @@ groups() ->
{sha256, [], [hash, hmac]},
{sha384, [], [hash, hmac]},
{sha512, [], [hash, hmac]},
- {rsa, [], [sign_verify,
- public_encrypt
- ]},
+ {rsa, [], [sign_verify,
+ public_encrypt
+ ]},
{dss, [], [sign_verify]},
{ecdsa, [], [sign_verify]},
{dh, [], [generate_compute]},
@@ -97,21 +133,35 @@ groups() ->
{des3_cbf,[], [block]},
{des3_cfb,[], [block]},
{rc2_cbc,[], [block]},
- {aes_cbc128,[], [block]},
+ {aes_cbc128,[], [block, cmac]},
{aes_cfb8,[], [block]},
{aes_cfb128,[], [block]},
- {aes_cbc256,[], [block]},
+ {aes_cbc256,[], [block, cmac]},
{aes_ecb,[], [block]},
{aes_ige256,[], [block]},
{blowfish_cbc, [], [block]},
{blowfish_ecb, [], [block]},
{blowfish_cfb64, [], [block]},
{blowfish_ofb64,[], [block]},
- {rc4, [], [stream]},
+ {rc4, [], [stream]},
{aes_ctr, [], [stream]},
{aes_gcm, [], [aead]},
{chacha20_poly1305, [], [aead]},
- {aes_cbc, [], [block]}
+ {aes_cbc, [], [block]},
+ {no_md4, [], [no_support, no_hash]},
+ {no_md5, [], [no_support, no_hash, no_hmac]},
+ {no_ripemd160, [], [no_support, no_hash]},
+ {no_srp, [], [no_support, no_generate_compute]},
+ {no_des_cbc, [], [no_support, no_block]},
+ {no_des_cfb, [], [no_support, no_block]},
+ {no_blowfish_cbc, [], [no_support, no_block]},
+ {no_blowfish_ecb, [], [no_support, no_block]},
+ {no_blowfish_cfb64, [], [no_support, no_block]},
+ {no_blowfish_ofb64, [], [no_support, no_block]},
+ {no_aes_ige256, [], [no_support, no_block]},
+ {no_chacha20_poly1305, [], [no_support, no_aead]},
+ {no_rc2_cbc, [], [no_support, no_block]},
+ {no_rc4, [], [no_support, no_stream]}
].
%%-------------------------------------------------------------------
@@ -141,12 +191,47 @@ end_per_suite(_Config) ->
application:stop(crypto).
%%-------------------------------------------------------------------
+init_per_group(fips, Config) ->
+ FIPSConfig = [{fips, true} | Config],
+ case crypto:info_fips() of
+ enabled ->
+ FIPSConfig;
+ not_enabled ->
+ case crypto:enable_fips_mode(true) of
+ true ->
+ enabled = crypto:info_fips(),
+ FIPSConfig;
+ false ->
+ {skip, "Failed to enable FIPS mode"}
+ end;
+ not_supported ->
+ {skip, "FIPS mode not supported"}
+ end;
+init_per_group(non_fips, Config) ->
+ NonFIPSConfig = [{fips, false} | Config],
+ case crypto:info_fips() of
+ enabled ->
+ true = crypto:enable_fips_mode(false),
+ not_enabled = crypto:info_fips(),
+ NonFIPSConfig;
+ _NotEnabled ->
+ NonFIPSConfig
+ end;
init_per_group(GroupName, Config) ->
- case is_supported(GroupName) of
- true ->
- group_config(GroupName, Config);
- false ->
- {skip, "Group not supported"}
+ case atom_to_list(GroupName) of
+ "no_" ++ TypeStr ->
+ %% Negated test case: check the algorithm is not supported
+ %% (e.g. due to FIPS mode limitations)
+ TypeAtom = list_to_atom(TypeStr),
+ [{type, TypeAtom} | group_config(TypeAtom, Config)];
+ _Other ->
+ %% Regular test case: skip if the algorithm is not supported
+ case is_supported(GroupName) of
+ true ->
+ [{type, GroupName} | group_config(GroupName, Config)];
+ false ->
+ {skip, "Group not supported"}
+ end
end.
end_per_group(_GroupName, Config) ->
@@ -154,6 +239,14 @@ end_per_group(_GroupName, Config) ->
init_per_testcase(info, Config) ->
Config;
+init_per_testcase(cmac, Config) ->
+ case crypto:info_lib() of
+ [{<<"OpenSSL">>,LibVer,_}] when is_integer(LibVer), LibVer > 16#10001000 ->
+ Config;
+ _Else ->
+ % The CMAC functionality was introduced in OpenSSL 1.0.1
+ {skip, "OpenSSL is too old"}
+ end;
init_per_testcase(_Name,Config) ->
Config.
@@ -175,6 +268,12 @@ appup() ->
appup(Config) when is_list(Config) ->
ok = ?t:appup_test(crypto).
%%--------------------------------------------------------------------
+no_support() ->
+ [{doc, "Test an algorithm is not reported in the supported list"}].
+no_support(Config) when is_list(Config) ->
+ Type = ?config(type, Config),
+ false = is_supported(Type).
+%%--------------------------------------------------------------------
hash() ->
[{doc, "Test all different hash functions"}].
hash(Config) when is_list(Config) ->
@@ -186,7 +285,14 @@ hash(Config) when is_list(Config) ->
hash(Type, Msgs, Digests),
hash(Type, lists:map(fun iolistify/1, Msgs), Digests),
hash_increment(Type, Inc, IncrDigest).
-%%--------------------------------------------------------------------
+%%--------------------------------------------------------------------
+no_hash() ->
+ [{doc, "Test all disabled hash functions"}].
+no_hash(Config) when is_list(Config) ->
+ Type = ?config(type, Config),
+ notsup(fun crypto:hash/2, [Type, <<"Hi There">>]),
+ notsup(fun crypto:hash_init/1, [Type]).
+%%--------------------------------------------------------------------
hmac() ->
[{doc, "Test all different hmac functions"}].
hmac(Config) when is_list(Config) ->
@@ -196,15 +302,68 @@ hmac(Config) when is_list(Config) ->
hmac(Type, lists:map(fun iolistify/1, Keys), lists:map(fun iolistify/1, Data), Expected),
hmac_increment(Type).
%%--------------------------------------------------------------------
+no_hmac() ->
+ [{doc, "Test all disabled hmac functions"}].
+no_hmac(Config) when is_list(Config) ->
+ Type = ?config(type, Config),
+ notsup(fun crypto:hmac/3, [Type, <<"Key">>, <<"Hi There">>]),
+ notsup(fun crypto:hmac_init/2, [Type, <<"Key">>]).
+%%--------------------------------------------------------------------
+cmac() ->
+ [{doc, "Test all different cmac functions"}].
+cmac(Config) when is_list(Config) ->
+ Pairs = proplists:get_value(cmac, Config),
+ lists:foreach(fun cmac_check/1, Pairs),
+ lists:foreach(fun cmac_check/1, cmac_iolistify(Pairs)).
+%%--------------------------------------------------------------------
block() ->
[{doc, "Test block ciphers"}].
block(Config) when is_list(Config) ->
+ Fips = proplists:get_bool(fips, Config),
+ Type = ?config(type, Config),
+ %% See comment about EVP_CIPHER_CTX_set_key_length in
+ %% block_crypt_nif in crypto.c.
+ case {Fips, Type} of
+ {true, aes_cfb8} ->
+ throw({skip, "Cannot test aes_cfb8 in FIPS mode because of key length issue"});
+ {true, aes_cfb128} ->
+ throw({skip, "Cannot test aes_cfb128 in FIPS mode because of key length issue"});
+ _ ->
+ ok
+ end,
+
Blocks = proplists:get_value(block, Config),
lists:foreach(fun block_cipher/1, Blocks),
lists:foreach(fun block_cipher/1, block_iolistify(Blocks)),
lists:foreach(fun block_cipher_increment/1, block_iolistify(Blocks)).
%%--------------------------------------------------------------------
+no_block() ->
+ [{doc, "Test disabled block ciphers"}].
+no_block(Config) when is_list(Config) ->
+ Blocks = proplists:get_value(block, Config),
+ Args = case Blocks of
+ [{_Type, _Key, _PlainText} = A | _] ->
+ tuple_to_list(A);
+ [{_Type, _Key, _IV, _PlainText} = A | _] ->
+ tuple_to_list(A);
+ [{Type, Key, IV, PlainText, _CipherText} | _] ->
+ [Type, Key, IV, PlainText]
+ end,
+ N = length(Args),
+ notsup(fun crypto:block_encrypt/N, Args),
+ notsup(fun crypto:block_decrypt/N, Args).
+%%--------------------------------------------------------------------
+no_aead() ->
+ [{doc, "Test disabled aead ciphers"}].
+no_aead(Config) when is_list(Config) ->
+ [{Type, Key, PlainText, Nonce, AAD, CipherText, CipherTag} | _] =
+ proplists:get_value(aead, Config),
+ EncryptArgs = [Type, Key, Nonce, {AAD, PlainText}],
+ DecryptArgs = [Type, Key, Nonce, {AAD, CipherText, CipherTag}],
+ notsup(fun crypto:block_encrypt/4, EncryptArgs),
+ notsup(fun crypto:block_decrypt/4, DecryptArgs).
+%%--------------------------------------------------------------------
stream() ->
[{doc, "Test stream ciphers"}].
stream(Config) when is_list(Config) ->
@@ -213,6 +372,12 @@ stream(Config) when is_list(Config) ->
lists:foreach(fun stream_cipher/1, Streams),
lists:foreach(fun stream_cipher/1, stream_iolistify(Streams)),
lists:foreach(fun stream_cipher_incment/1, stream_iolistify(Streams)).
+%%--------------------------------------------------------------------
+no_stream() ->
+ [{doc, "Test disabled stream ciphers"}].
+no_stream(Config) when is_list(Config) ->
+ Type = ?config(type, Config),
+ notsup(fun crypto:stream_init/2, [Type, <<"Key">>]).
%%--------------------------------------------------------------------
aead() ->
@@ -220,7 +385,20 @@ aead() ->
aead(Config) when is_list(Config) ->
AEADs = lazy_eval(proplists:get_value(aead, Config)),
- lists:foreach(fun aead_cipher/1, AEADs).
+ FilteredAEADs =
+ case proplists:get_bool(fips, Config) of
+ false ->
+ AEADs;
+ true ->
+ %% In FIPS mode, the IV length must be at least 12 bytes.
+ lists:filter(
+ fun(Tuple) ->
+ IVLen = byte_size(element(4, Tuple)),
+ IVLen >= 12
+ end, AEADs)
+ end,
+
+ lists:foreach(fun aead_cipher/1, FilteredAEADs).
%%--------------------------------------------------------------------
sign_verify() ->
@@ -244,6 +422,24 @@ generate_compute(Config) when is_list(Config) ->
GenCom = proplists:get_value(generate_compute, Config),
lists:foreach(fun do_generate_compute/1, GenCom).
%%--------------------------------------------------------------------
+no_generate_compute() ->
+ [{doc, "Test crypto:genarate_key and crypto:compute_key "
+ "for disabled algorithms"}].
+no_generate_compute(Config) when is_list(Config) ->
+ %% This test is specific to the SRP protocol
+ srp = ?config(type, Config),
+ {srp,
+ UserPrivate, UserGenParams, UserComParams,
+ HostPublic, HostPrivate, HostGenParams, HostComParams,
+ _SessionKey} = srp3(),
+ UserPublic = HostPublic, % use a fake public key
+ notsup(fun crypto:generate_key/3, [srp, UserGenParams, UserPrivate]),
+ notsup(fun crypto:generate_key/3, [srp, HostGenParams, HostPrivate]),
+ notsup(fun crypto:compute_key/4,
+ [srp, HostPublic, {UserPublic, UserPrivate}, UserComParams]),
+ notsup(fun crypto:compute_key/4,
+ [srp, UserPublic, {HostPublic, HostPrivate}, HostComParams]).
+%%--------------------------------------------------------------------
compute() ->
[{doc, " Test crypto:compute_key"}].
compute(Config) when is_list(Config) ->
@@ -348,6 +544,23 @@ hmac_increment(State0, [Increment | Rest]) ->
State = crypto:hmac_update(State0, Increment),
hmac_increment(State, Rest).
+cmac_check({Type, Key, Text, CMac}) ->
+ ExpCMac = iolist_to_binary(CMac),
+ case crypto:cmac(Type, Key, Text) of
+ ExpCMac ->
+ ok;
+ Other ->
+ ct:fail({{crypto, cmac, [Type, Key, Text]}, {expected, ExpCMac}, {got, Other}})
+ end;
+cmac_check({Type, Key, Text, Size, CMac}) ->
+ ExpCMac = iolist_to_binary(CMac),
+ case crypto:cmac(Type, Key, Text, Size) of
+ ExpCMac ->
+ ok;
+ Other ->
+ ct:fail({{crypto, cmac, [Type, Key, Text, Size]}, {expected, ExpCMac}, {got, Other}})
+ end.
+
block_cipher({Type, Key, PlainText}) ->
Plain = iolist_to_binary(PlainText),
CipherText = crypto:block_encrypt(Type, Key, PlainText),
@@ -545,6 +758,25 @@ do_generate({ecdh = Type, Curve, Priv, Pub}) ->
ct:fail({{crypto, generate_key, [Type, Priv, Curve]}, {expected, Pub}, {got, Other}})
end.
+notsup(Fun, Args) ->
+ Result =
+ try
+ {error, {return, apply(Fun, Args)}}
+ catch
+ error:notsup ->
+ ok;
+ Class:Error ->
+ {error, {Class, Error}}
+ end,
+ case Result of
+ ok ->
+ ok;
+ {error, Value} ->
+ {module, Module} = erlang:fun_info(Fun, module),
+ {name, Name} = erlang:fun_info(Fun, name),
+ ct:fail({{Module, Name, Args}, {expected, {error, notsup}}, {got, Value}})
+ end.
+
hexstr2point(X, Y) ->
<<4:8, (hexstr2bin(X))/binary, (hexstr2bin(Y))/binary>>.
@@ -565,11 +797,18 @@ mkint(C) when $a =< C, C =< $f ->
is_supported(Group) ->
lists:member(Group, lists:append([Algo || {_, Algo} <- crypto:supports()])).
+cmac_iolistify(Blocks) ->
+ lists:map(fun do_cmac_iolistify/1, Blocks).
block_iolistify(Blocks) ->
lists:map(fun do_block_iolistify/1, Blocks).
stream_iolistify(Streams) ->
lists:map(fun do_stream_iolistify/1, Streams).
+do_cmac_iolistify({Type, Key, Text, CMac}) ->
+ {Type, iolistify(Key), iolistify(Text), CMac};
+do_cmac_iolistify({Type, Key, Text, Size, CMac}) ->
+ {Type, iolistify(Key), iolistify(Text), Size, CMac}.
+
do_stream_iolistify({Type, Key, PlainText}) ->
{Type, iolistify(Key), iolistify(PlainText)};
do_stream_iolistify({Type, Key, IV, PlainText}) ->
@@ -752,12 +991,23 @@ group_config(rsa = Type, Config) ->
Private = rsa_private(),
PublicS = rsa_public_stronger(),
PrivateS = rsa_private_stronger(),
- SignVerify = sign_verify_tests(Type, Msg, Public, Private, PublicS, PrivateS),
+ SignVerify =
+ case ?config(fips, Config) of
+ true ->
+ %% Use only the strong keys in FIPS mode
+ sign_verify_tests(Type, Msg,
+ PublicS, PrivateS,
+ PublicS, PrivateS);
+ false ->
+ sign_verify_tests(Type, Msg,
+ Public, Private,
+ PublicS, PrivateS)
+ end,
MsgPubEnc = <<"7896345786348 Asldi">>,
- PubPrivEnc = [{rsa, Public, Private, MsgPubEnc, rsa_pkcs1_padding},
- rsa_oaep(),
- no_padding()
- ],
+ PubPrivEnc = [{rsa, PublicS, PrivateS, MsgPubEnc, rsa_pkcs1_padding},
+ rsa_oaep(),
+ no_padding()
+ ],
[{sign_verify, SignVerify}, {pub_priv_encrypt, PubPrivEnc} | Config];
group_config(dss = Type, Config) ->
Msg = dss_plain(),
@@ -802,12 +1052,14 @@ group_config(des_ede3, Config) ->
group_config(rc2_cbc, Config) ->
Block = rc2_cbc(),
[{block, Block} | Config];
-group_config(aes_cbc128, Config) ->
+group_config(aes_cbc128 = Type, Config) ->
Block = aes_cbc128(),
- [{block, Block} | Config];
-group_config(aes_cbc256, Config) ->
+ Pairs = cmac_nist(Type),
+ [{block, Block}, {cmac, Pairs} | Config];
+group_config(aes_cbc256 = Type, Config) ->
Block = aes_cbc256(),
- [{block, Block} | Config];
+ Pairs = cmac_nist(Type),
+ [{block, Block}, {cmac, Pairs} | Config];
group_config(aes_ecb, Config) ->
Block = aes_ecb(),
[{block, Block} | Config];
@@ -2294,7 +2546,7 @@ ecdh() ->
TestCases).
dh() ->
- {dh, 0087761979513264537414556992123116644042638206717762626089877284926656954974893442000747478454809111207351620687968672207938731607963470779396984752680274820156266685080223616226905101126463253150237669547023934604953898814222890239130021414026118792251620881355456432549881723310342870016961804255746630219, 2}.
+ {dh, 90970053988169282502023478715631717259407236400413906591937635666709823903223997309250405131675572047545403771567755831138144089197560332757755059848492919215391041119286178688014693040542889497092308638580104031455627238700168892909539193174537248629499995652186913900511641708112112482297874449292467498403, 2}.
rsa_oaep() ->
%% ftp://ftp.rsa.com/pub/rsalabs/tmp/pkcs1v15crypt-vectors.txt
@@ -2337,9 +2589,53 @@ ecc() ->
end,
TestCases).
+%% Test data from Appendix D of NIST Special Publication 800-38B
+%% http://csrc.nist.gov/publications/nistpubs/800-38B/Updated_CMAC_Examples.pdf
+%% The same AES128 test data are also in the RFC 4493
+%% https://tools.ietf.org/html/rfc4493
+cmac_nist(aes_cbc128 = Type) ->
+ Key = hexstr2bin("2b7e151628aed2a6abf7158809cf4f3c"),
+ [{Type, Key, <<"">>,
+ hexstr2bin("bb1d6929e95937287fa37d129b756746")},
+ {Type, Key, hexstr2bin("6bc1bee22e409f96e93d7e117393172a"),
+ hexstr2bin("070a16b46b4d4144f79bdd9dd04a287c")},
+ {Type, Key, hexstr2bin("6bc1bee22e409f96e93d7e117393172a"
+ "ae2d8a571e03ac9c9eb76fac45af8e51"
+ "30c81c46a35ce411"),
+ hexstr2bin("dfa66747de9ae63030ca32611497c827")},
+ {Type, Key, hexstr2bin("6bc1bee22e409f96e93d7e117393172a"
+ "ae2d8a571e03ac9c9eb76fac45af8e51"
+ "30c81c46a35ce411e5fbc1191a0a52ef"
+ "f69f2445df4f9b17ad2b417be66c3710"),
+ hexstr2bin("51f0bebf7e3b9d92fc49741779363cfe")},
+ % truncation
+ {Type, Key, <<"">>, 4,
+ hexstr2bin("bb1d6929")}];
+
+cmac_nist(aes_cbc256 = Type) ->
+ Key = hexstr2bin("603deb1015ca71be2b73aef0857d7781"
+ "1f352c073b6108d72d9810a30914dff4"),
+ [{Type, Key, <<"">>,
+ hexstr2bin("028962f61b7bf89efc6b551f4667d983")},
+ {Type, Key, hexstr2bin("6bc1bee22e409f96e93d7e117393172a"),
+ hexstr2bin("28a7023f452e8f82bd4bf28d8c37c35c")},
+ {Type, Key, hexstr2bin("6bc1bee22e409f96e93d7e117393172a"
+ "ae2d8a571e03ac9c9eb76fac45af8e51"
+ "30c81c46a35ce411"),
+ hexstr2bin("aaf3d8f1de5640c232f5b169b9c911e6")},
+ {Type, Key, hexstr2bin("6bc1bee22e409f96e93d7e117393172a"
+ "ae2d8a571e03ac9c9eb76fac45af8e51"
+ "30c81c46a35ce411e5fbc1191a0a52ef"
+ "f69f2445df4f9b17ad2b417be66c3710"),
+ hexstr2bin("e1992190549f6ed5696a2c056c315410")},
+ % truncation
+ {Type, Key, <<"">>, 4,
+ hexstr2bin("028962f6")}].
+
+
no_padding() ->
- Public = [_, Mod] = rsa_public(),
- Private = rsa_private(),
+ Public = [_, Mod] = rsa_public_stronger(),
+ Private = rsa_private_stronger(),
MsgLen = erlang:byte_size(int_to_bin(Mod)),
Msg = list_to_binary(lists:duplicate(MsgLen, $X)),
{rsa, Public, Private, Msg, rsa_no_padding}.