Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Add things needed to implement ECDH based protocols #214

Open
wants to merge 6 commits into
base: master
Choose a base branch
from
Open
Show file tree
Hide file tree
Changes from all commits
Commits
File filter

Filter by extension

Filter by extension

Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
Binary file modified doc/luaossl.pdf
Binary file not shown.
13 changes: 11 additions & 2 deletions doc/luaossl.tex
Original file line number Diff line number Diff line change
Expand Up @@ -276,9 +276,13 @@ \section{Modules}

\module{openssl.pkey} binds OpenSSL's libcrypto public-private key library. The \fn{\_\_tostring} metamethod generates a PEM encoded representation of the public key---excluding the private key.

\subsubsection[\fn{pkey.new}]{\fn{pkey.new($string$[, $format$])}}
\subsubsection[\fn{pkey.new}]{\fn{pkey.new($string$[, $format$[, $type$[, $curve$]]]])}}

Initializes a new pkey object from the PEM- or DER-encoded key in $string$. $format$ defaults to ``*'', which means to automatically test the input encoding. If $format$ is explicitly ``PEM'' or ``DER'', then only that decoding format is used.
Initializes a new pkey object from the PEM- or DER-encoded key in $string$. $format$ defaults to ``*'', which means to automatically detect the input encoding. If $format$ is explicitly ``PEM'' or ``DER'', then only that decoding format is used.

If specified, $type$ may be ``public'' or ``private'' to indicate loading a public or private key, respectively.

In the case of loading an EC key in a format that does not include the curve parameters, the $curve$ parameter should indicate the appropriate curve name.

On failure throws an error.

Expand Down Expand Up @@ -335,6 +339,11 @@ \section{Modules}

Returns the PEM encoded string representation(s) of the specified key component. $which$ must be one of ``public'', ``PublicKey'', ``private'', or ``PrivateKey''. For the two argument form, returns two values.

\subsubsection[\fn{pkey:derive}]{\fn{pkey:derive($peer$)}}

Calculate the shared secret (e.g. DH/ECDH) derived from the key and the peer's
(usually public) key.

\end{Module}


Expand Down
303 changes: 303 additions & 0 deletions regress/213-test-ecdh.lua
Original file line number Diff line number Diff line change
@@ -0,0 +1,303 @@
local regress = require "regress";
local openssl = require "openssl";
local cipher = require "openssl.cipher"
local pkey = require "openssl.pkey"

-- openssl ecparam -genkey -name prime256v1 | openssl ec -out example.ec.key
local privkey_raw = string.char(
0x30, 0x77, 0x02, 0x01, 0x01, 0x04, 0x20, 0x1e, 0x5b, 0x66, 0x2e, 0x30,
0xc9, 0x88, 0xe0, 0xb2, 0xff, 0x84, 0x59, 0x9c, 0x0c, 0xcc, 0x07, 0x90,
0x5c, 0xf1, 0xbf, 0x96, 0xf1, 0x36, 0xa7, 0x69, 0x31, 0x72, 0x54, 0x9c,
0x88, 0x89, 0xa8, 0xa0, 0x0a, 0x06, 0x08, 0x2a, 0x86, 0x48, 0xce, 0x3d,
0x03, 0x01, 0x07, 0xa1, 0x44, 0x03, 0x42, 0x00, 0x04, 0x08, 0x10, 0xd0,
0xde, 0xb9, 0x55, 0xd3, 0xd4, 0xe2, 0x54, 0xd5, 0x04, 0x33, 0x9b, 0x3f,
0x69, 0x07, 0x30, 0xdf, 0x55, 0x3f, 0xa5, 0x98, 0x7d, 0xc1, 0xef, 0x3d,
0x2b, 0xee, 0xf6, 0x1d, 0x1c, 0x15, 0xfd, 0x41, 0x3a, 0x69, 0x88, 0xa6,
0x39, 0xdb, 0xbb, 0xfb, 0xd3, 0x03, 0x4f, 0xc1, 0x34, 0xe0, 0xc2, 0xe9,
0xf9, 0x37, 0x47, 0x1d, 0xe7, 0xb1, 0xd2, 0xfa, 0xdb, 0xa3, 0x79, 0x99,
0x18
);

local privkey1 = pkey.new(privkey_raw, "*", "private", "prime256v1");
regress.check(privkey1 ~= nil, "failed to create pkey object from bytes");

-- openssl ec -in example.ec.key -pubout
local pubkey_raw = string.char(
0x30, 0x59, 0x30, 0x13, 0x06, 0x07, 0x2a, 0x86, 0x48, 0xce, 0x3d, 0x02,
0x01, 0x06, 0x08, 0x2a, 0x86, 0x48, 0xce, 0x3d, 0x03, 0x01, 0x07, 0x03,
0x42, 0x00, 0x04, 0x08, 0x10, 0xd0, 0xde, 0xb9, 0x55, 0xd3, 0xd4, 0xe2,
0x54, 0xd5, 0x04, 0x33, 0x9b, 0x3f, 0x69, 0x07, 0x30, 0xdf, 0x55, 0x3f,
0xa5, 0x98, 0x7d, 0xc1, 0xef, 0x3d, 0x2b, 0xee, 0xf6, 0x1d, 0x1c, 0x15,
0xfd, 0x41, 0x3a, 0x69, 0x88, 0xa6, 0x39, 0xdb, 0xbb, 0xfb, 0xd3, 0x03,
0x4f, 0xc1, 0x34, 0xe0, 0xc2, 0xe9, 0xf9, 0x37, 0x47, 0x1d, 0xe7, 0xb1,
0xd2, 0xfa, 0xdb, 0xa3, 0x79, 0x99, 0x18
);

local pubkey1 = pkey.new(pubkey_raw, "*", "public", "prime256v1");
regress.check(pubkey1 ~= nil, "failed to create pkey object from bytes");

local privkey2_raw = string.char(
0x30, 0x77, 0x02, 0x01, 0x01, 0x04, 0x20, 0x1c, 0x9e, 0x9f, 0x12, 0x7c,
0x69, 0xd1, 0xc3, 0x41, 0xfb, 0x5f, 0xe3, 0xd0, 0x97, 0x39, 0x0f, 0xaa,
0x4c, 0xba, 0xbf, 0xc0, 0xfc, 0x3a, 0x0e, 0x35, 0x05, 0x18, 0x5d, 0x35,
0x0b, 0x61, 0x9b, 0xa0, 0x0a, 0x06, 0x08, 0x2a, 0x86, 0x48, 0xce, 0x3d,
0x03, 0x01, 0x07, 0xa1, 0x44, 0x03, 0x42, 0x00, 0x04, 0x6e, 0xef, 0x68,
0x51, 0x1a, 0xcc, 0x10, 0x69, 0x65, 0x2a, 0x95, 0x58, 0x2d, 0x72, 0xee,
0xb0, 0x49, 0xf8, 0xe4, 0xed, 0x67, 0xf9, 0xa2, 0x77, 0xf3, 0xaf, 0x06,
0x0a, 0x7d, 0x8e, 0x0d, 0x9a, 0xa4, 0x53, 0xb0, 0xe5, 0x7b, 0x0e, 0x7a,
0x71, 0xe2, 0x78, 0xc7, 0xa2, 0x33, 0x8d, 0xc9, 0x8b, 0x5a, 0x3b, 0x77,
0xbc, 0xcb, 0xb3, 0x2c, 0xae, 0xd3, 0xde, 0xc7, 0xb9, 0xe4, 0x3d, 0xfa,
0xe7
);

local privkey2 = pkey.new(privkey2_raw, "*", "private", "prime256v1");
regress.check(privkey2 ~= nil, "Failed to load second key");

local pubkey2_raw = privkey2:getParameters().pub_key:toBinary();
regress.check(#pubkey2_raw == 65, "abnormal length of pubkey2_raw");
local pubkey2 = pkey.new(pubkey2_raw, "*", "public", "prime256v1");

local d1 = privkey2:derive(pubkey1)
local d2 = privkey1:derive(pubkey2)

-- Some basic sanity checks on the derived secrets

regress.check(type(d1) == "string", "derived value type unexpected")
regress.check(#d1 == 32, "derived value length unexpected")
regress.check(d1 == d2, "derived value mismatch")

--

local key2 = pkey.new({ type = "EC", curve = "prime256v1" });
local key2_public = key2:getParameters().pub_key:toBinary();

local key3 = pkey.new({ type = "EC", curve = "prime256v1" });
local key3_public = key3:getParameters().pub_key:toBinary();

regress.check(type(key2.derive) == "function", "derive method is missing")

local derived_key = key2:derive(pubkey1)
regress.check(#derived_key == 32, "derived key abnormal length")

local derived_key2 = key2:derive(pubkey1)
regress.check(#derived_key2 == 32, "derived key abnormal length")

local derived_key3 = key3:derive(pubkey1)
regress.check(#derived_key3 == 32, "derived key abnormal length")

regress.check(derived_key == derived_key2, "keys should match")
regress.check(derived_key ~= derived_key3, "keys should differ")

--

local function H(str)
return (str:gsub("..", function(b) return string.char(tonumber(b, 16)) end))
end

local der_privkey_hdr = H"30770201010420";
local der_privkey_tail = H"a00a06082a8648ce3d030107a14403420004ead218590119e8876b29146ff89ca61770c4edbbf97d38ce385ed281d8a6b23028af61281fd35e2fa7002523acc85a429cb06ee6648325389f59edfce1405141"
local der_pubkey_hdr = H"3059301306072a8648ce3d020106082a8648ce3d03010703420004";

local function test(case)
local a_der = der_privkey_hdr..H(case.a)..der_privkey_tail;
local B_der = der_pubkey_hdr..H(case.Bx..case.By);

local a = pkey.new(a_der, "der", "private", "prime256v1");
local B = pkey.new(B_der, "der", "public", "prime256v1");

local Z = a:derive(B):gsub(".", function (c) return ("%02X"):format(c:byte()) end);
regress.check(Z == case.Z, "Shared secret does not match");
end

-- NIST test vectors

test {
a = "7d7dc5f71eb29ddaf80d6214632eeae03d9058af1fb6d22ed80badb62bc1a534";
Bx = "700C48F77F56584C5CC632CA65640DB91B6BACCE3A4DF6B42CE7CC838833D287";
By = "DB71E509E3FD9B060DDB20BA5C51DCC5948D46FBF640DFE0441782CAB85FA4AC";
Z = "46FC62106420FF012E54A434FBDD2D25CCC5852060561E68040DD7778997BD7B";
}

test {
a = "38f65d6dce47676044d58ce5139582d568f64bb16098d179dbab07741dd5caf5";
Bx = "809F04289C64348C01515EB03D5CE7AC1A8CB9498F5CAA50197E58D43A86A7AE";
By = "B29D84E811197F25EBA8F5194092CB6FF440E26D4421011372461F579271CDA3";
Z = "057D636096CB80B67A8C038C890E887D1ADFA4195E9B3CE241C8A778C59CDA67";
}

test {
a = "7d7dc5f71eb29ddaf80d6214632eeae03d9058af1fb6d22ed80badb62bc1a534";
Bx = "700C48F77F56584C5CC632CA65640DB91B6BACCE3A4DF6B42CE7CC838833D287";
By = "DB71E509E3FD9B060DDB20BA5C51DCC5948D46FBF640DFE0441782CAB85FA4AC";
Z = "46FC62106420FF012E54A434FBDD2D25CCC5852060561E68040DD7778997BD7B";
}

test {
a = "38f65d6dce47676044d58ce5139582d568f64bb16098d179dbab07741dd5caf5";
Bx = "809F04289C64348C01515EB03D5CE7AC1A8CB9498F5CAA50197E58D43A86A7AE";
By = "B29D84E811197F25EBA8F5194092CB6FF440E26D4421011372461F579271CDA3";
Z = "057D636096CB80B67A8C038C890E887D1ADFA4195E9B3CE241C8A778C59CDA67";
}

test {
a = "1accfaf1b97712b85a6f54b148985a1bdc4c9bec0bd258cad4b3d603f49f32c8";
Bx = "A2339C12D4A03C33546DE533268B4AD667DEBF458B464D77443636440EE7FEC3";
By = "EF48A3AB26E20220BCDA2C1851076839DAE88EAE962869A497BF73CB66FAF536";
Z = "2D457B78B4614132477618A5B077965EC90730A8C81A1C75D6D4EC68005D67EC";
}

test {
a = "207c43a79bfee03db6f4b944f53d2fb76cc49ef1c9c4d34d51b6c65c4db6932d";
Bx = "DF3989B9FA55495719B3CF46DCCD28B5153F7808191DD518EFF0C3CFF2B705ED";
By = "422294FF46003429D739A33206C8752552C8BA54A270DEFC06E221E0FEAF6AC4";
Z = "96441259534B80F6AEE3D287A6BB17B5094DD4277D9E294F8FE73E48BF2A0024";
}

test {
a = "59137e38152350b195c9718d39673d519838055ad908dd4757152fd8255c09bf";
Bx = "41192D2813E79561E6A1D6F53C8BC1A433A199C835E141B05A74A97B0FAEB922";
By = "1AF98CC45E98A7E041B01CF35F462B7562281351C8EBF3FFA02E33A0722A1328";
Z = "19D44C8D63E8E8DD12C22A87B8CD4ECE27ACDDE04DBF47F7F27537A6999A8E62";
}

test {
a = "f5f8e0174610a661277979b58ce5c90fee6c9b3bb346a90a7196255e40b132ef";
Bx = "33E82092A0F1FB38F5649D5867FBA28B503172B7035574BF8E5B7100A3052792";
By = "F2CF6B601E0A05945E335550BF648D782F46186C772C0F20D3CD0D6B8CA14B2F";
Z = "664E45D5BBA4AC931CD65D52017E4BE9B19A515F669BEA4703542A2C525CD3D3";
}

test {
a = "3b589af7db03459c23068b64f63f28d3c3c6bc25b5bf76ac05f35482888b5190";
Bx = "6A9E0C3F916E4E315C91147BE571686D90464E8BF981D34A90B6353BCA6EEBA7";
By = "40F9BEAD39C2F2BCC2602F75B8A73EC7BDFFCBCEAD159D0174C6C4D3C5357F05";
Z = "CA342DAA50DC09D61BE7C196C85E60A80C5CB04931746820BE548CDDE055679D";
}

test {
a = "d8bf929a20ea7436b2461b541a11c80e61d826c0a4c9d322b31dd54e7f58b9c8";
Bx = "A9C0ACADE55C2A73EAD1A86FB0A9713223C82475791CD0E210B046412CE224BB";
By = "F6DE0AFA20E93E078467C053D241903EDAD734C6B403BA758C2B5FF04C9D4229";
Z = "35AA9B52536A461BFDE4E85FC756BE928C7DE97923F0416C7A3AC8F88B3D4489";
}

test {
a = "0f9883ba0ef32ee75ded0d8bda39a5146a29f1f2507b3bd458dbea0b2bb05b4d";
Bx = "94E94F16A98255FFF2B9AC0C9598AAC35487B3232D3231BD93B7DB7DF36F9EB9";
By = "D8049A43579CFA90B8093A94416CBEFBF93386F15B3F6E190B6E3455FEDFE69A";
Z = "605C16178A9BC875DCBFF54D63FE00DF699C03E8A888E9E94DFBAB90B25F39B4";
}

test {
a = "2beedb04b05c6988f6a67500bb813faf2cae0d580c9253b6339e4a3337bb6c08";
Bx = "E099BF2A4D557460B5544430BBF6DA11004D127CB5D67F64AB07C94FCDF5274F";
By = "D9C50DBE70D714EDB5E221F4E020610EEB6270517E688CA64FB0E98C7EF8C1C5";
Z = "F96E40A1B72840854BB62BC13C40CC2795E373D4E715980B261476835A092E0B";
}

test {
a = "77c15dcf44610e41696bab758943eff1409333e4d5a11bbe72c8f6c395e9f848";
Bx = "F75A5FE56BDA34F3C1396296626EF012DC07E4825838778A645C8248CFF01658";
By = "33BBDF1B1772D8059DF568B061F3F1122F28A8D819167C97BE448E3DC3FB0C3C";
Z = "8388FA79C4BABDCA02A8E8A34F9E43554976E420A4AD273C81B26E4228E9D3A3";
}

test {
a = "42a83b985011d12303db1a800f2610f74aa71cdf19c67d54ce6c9ed951e9093e";
Bx = "2DB4540D50230756158ABF61D9835712B6486C74312183CCEFCAEF2797B7674D";
By = "62F57F314E3F3495DC4E099012F5E0BA71770F9660A1EADA54104CDFDE77243E";
Z = "72877CEA33CCC4715038D4BCBDFE0E43F42A9E2C0C3B017FC2370F4B9ACBDA4A";
}

test {
a = "ceed35507b5c93ead5989119b9ba342cfe38e6e638ba6eea343a55475de2800b";
Bx = "CD94FC9497E8990750309E9A8534FD114B0A6E54DA89C4796101897041D14ECB";
By = "C3DEF4B5FE04FAEE0A11932229FFF563637BFDEE0E79C6DEEAF449F85401C5C4";
Z = "E4E7408D85FF0E0E9C838003F28CDBD5247CDCE31F32F62494B70E5F1BC36307";
}

test {
a = "43e0e9d95af4dc36483cdd1968d2b7eeb8611fcce77f3a4e7d059ae43e509604";
Bx = "15B9E467AF4D290C417402E040426FE4CF236BAE72BAA392ED89780DFCCDB471";
By = "CDF4E9170FB904302B8FD93A820BA8CC7ED4EFD3A6F2D6B05B80B2FF2AEE4E77";
Z = "ED56BCF695B734142C24ECB1FC1BB64D08F175EB243A31F37B3D9BB4407F3B96";
}

test {
a = "b2f3600df3368ef8a0bb85ab22f41fc0e5f4fdd54be8167a5c3cd4b08db04903";
Bx = "49C503BA6C4FA605182E186B5E81113F075BC11DCFD51C932FB21E951EEE2FA1";
By = "8AF706FF0922D87B3F0C5E4E31D8B259AEB260A9269643ED520A13BB25DA5924";
Z = "BC5C7055089FC9D6C89F83C1EA1ADA879D9934B2EA28FCF4E4A7E984B28AD2CF";
}

test {
a = "4002534307f8b62a9bf67ff641ddc60fef593b17c3341239e95bdb3e579bfdc8";
Bx = "19B38DE39FDD2F70F7091631A4F75D1993740BA9429162C2A45312401636B29C";
By = "09AED7232B28E060941741B6828BCDFA2BC49CC844F3773611504F82A390A5AE";
Z = "9A4E8E657F6B0E097F47954A63C75D74FCBA71A30D83651E3E5A91AA7CCD8343";
}

test {
a = "4dfa12defc60319021b681b3ff84a10a511958c850939ed45635934ba4979147";
Bx = "2C91C61F33ADFE9311C942FDBFF6BA47020FEFF416B7BB63CEC13FAF9B099954";
By = "6CAB31B06419E5221FCA014FB84EC870622A1B12BAB5AE43682AA7EA73EA08D0";
Z = "3CA1FC7AD858FB1A6ABA232542F3E2A749FFC7203A2374A3F3D3267F1FC97B78";
}

test {
a = "1331f6d874a4ed3bc4a2c6e9c74331d3039796314beee3b7152fcdba5556304e";
Bx = "A28A2EDF58025668F724AAF83A50956B7AC1CFBBFF79B08C3BF87DFD2828D767";
By = "DFA7BFFFD4C766B86ABEAF5C99B6E50CB9CCC9D9D00B7FFC7804B0491B67BC03";
Z = "1AAABE7EE6E4A6FA732291202433A237DF1B49BC53866BFBE00DB96A0F58224F";
}

test {
a = "dd5e9f70ae740073ca0204df60763fb6036c45709bf4a7bb4e671412fad65da3";
Bx = "A2EF857A081F9D6EB206A81C4CF78A802BDF598AE380C8886ECD85FDC1ED7644";
By = "563C4C20419F07BC17D0539FADE1855E34839515B892C0F5D26561F97FA04D1A";
Z = "430E6A4FBA4449D700D2733E557F66A3BF3D50517C1271B1DDAE1161B7AC798C";
}

test {
a = "5ae026cfc060d55600717e55b8a12e116d1d0df34af831979057607c2d9c2f76";
Bx = "CCD8A2D86BC92F2E01BCE4D6922CF7FE1626AED044685E95E2EEBD464505F01F";
By = "E9DDD583A9635A667777D5B8A8F31B0F79EBA12C75023410B54B8567DDDC0F38";
Z = "1CE9E6740529499F98D1F1D71329147A33DF1D05E4765B539B11CF615D6974D3";
}

test {
a = "b601ac425d5dbf9e1735c5e2d5bdb79ca98b3d5be4a2cfd6f2273f150e064d9d";
Bx = "C188FFC8947F7301FB7B53E36746097C2134BF9CC981BA74B4E9C4361F595E4E";
By = "BF7D2F2056E72421EF393F0C0F2B0E00130E3CAC4ABBCC00286168E85EC55051";
Z = "4690E3743C07D643F1BC183636AB2A9CB936A60A802113C49BB1B3F2D0661660";
}

test {
a = "fefb1dda1845312b5fce6b81b2be205af2f3a274f5a212f66c0d9fc33d7ae535";
Bx = "317E1020FF53FCCEF18BF47BB7F2DD7707FB7B7A7578E04F35B3BEED222A0EB6";
By = "09420CE5A19D77C6FE1EE587E6A49FBAF8F280E8DF033D75403302E5A27DB2AE";
Z = "30C2261BD0004E61FEDA2C16AA5E21FFA8D7E7F7DBF6EC379A43B48E4B36AEB0";
}

test {
a = "334ae0c4693d23935a7e8e043ebbde21e168a7cba3fa507c9be41d7681e049ce";
Bx = "45FB02B2CEB9D7C79D9C2FA93E9C7967C2FA4DF5789F9640B24264B1E524FCB1";
By = "5C6E8ECF1F7D3023893B7B1CA1E4D178972EE2A230757DDC564FFE37F5C5A321";
Z = "2ADAE4A138A239DCD93C243A3803C3E4CF96E37FE14E6A9B717BE9599959B11C";
}

test {
a = "2c4bde40214fcc3bfc47d4cf434b629acbe9157f8fd0282540331de7942cf09d";
Bx = "A19EF7BFF98ADA781842FBFC51A47AFF39B5935A1C7D9625C8D323D511C92DE6";
By = "E9C184DF75C955E02E02E400FFE45F78F339E1AFE6D056FB3245F4700CE606EF";
Z = "2E277EC30F5EA07D6CE513149B9479B96E07F4B6913B1B5C11305C1444A1BC0B";
}

test {
a = "85a268f9d7772f990c36b42b0a331adc92b5941de0b862d5d89a347cbf8faab0";
Bx = "356C5A444C049A52FEE0ADEB7E5D82AE5AA83030BFFF31BBF8CE2096CF161C4B";
By = "57D128DE8B2A57A094D1A001E572173F96E8866AE352BF29CDDAF92FC85B2F92";
Z = "1E51373BD2C6044C129C436E742A55BE2A668A85AE08441B6756445DF5493857";
}

print("OK")
Loading