diff options
| -rw-r--r-- | src/lib/pk_pad/emsa.cpp | 55 | ||||
| -rw-r--r-- | src/lib/pk_pad/iso9796/info.txt | 7 | ||||
| -rw-r--r-- | src/lib/pk_pad/iso9796/iso9796.cpp | 270 | ||||
| -rw-r--r-- | src/lib/pk_pad/iso9796/iso9796.h | 94 | ||||
| -rw-r--r-- | src/tests/data/pubkey/rsa_sig.vec | 31 | ||||
| -rw-r--r-- | src/tests/data/pubkey/rsa_verify.vec | 25 |
6 files changed, 470 insertions, 12 deletions
diff --git a/src/lib/pk_pad/emsa.cpp b/src/lib/pk_pad/emsa.cpp index 66e58fb0d..3851f85a7 100644 --- a/src/lib/pk_pad/emsa.cpp +++ b/src/lib/pk_pad/emsa.cpp @@ -8,23 +8,27 @@ #include <botan/scan_name.h> #if defined(BOTAN_HAS_EMSA1) - #include <botan/emsa1.h> + #include <botan/emsa1.h> #endif #if defined(BOTAN_HAS_EMSA_X931) - #include <botan/emsa_x931.h> + #include <botan/emsa_x931.h> #endif #if defined(BOTAN_HAS_EMSA_PKCS1) - #include <botan/emsa_pkcs1.h> + #include <botan/emsa_pkcs1.h> #endif #if defined(BOTAN_HAS_EMSA_PSSR) - #include <botan/pssr.h> + #include <botan/pssr.h> #endif #if defined(BOTAN_HAS_EMSA_RAW) - #include <botan/emsa_raw.h> + #include <botan/emsa_raw.h> +#endif + +#if defined(BOTAN_HAS_ISO_9796) + #include <botan/iso9796.h> #endif namespace Botan { @@ -45,8 +49,8 @@ EMSA* get_emsa(const std::string& algo_spec) #if defined(BOTAN_HAS_EMSA_PKCS1) if(req.algo_name() == "EMSA_PKCS1" || - req.algo_name() == "EMSA-PKCS1-v1_5" || - req.algo_name() == "EMSA3") + req.algo_name() == "EMSA-PKCS1-v1_5" || + req.algo_name() == "EMSA3") { if(req.arg_count() == 1) { @@ -67,9 +71,9 @@ EMSA* get_emsa(const std::string& algo_spec) #if defined(BOTAN_HAS_EMSA_PSSR) if(req.algo_name() == "PSSR" || - req.algo_name() == "EMSA-PSS" || - req.algo_name() == "PSS-MGF1" || - req.algo_name() == "EMSA4") + req.algo_name() == "EMSA-PSS" || + req.algo_name() == "PSS-MGF1" || + req.algo_name() == "EMSA4") { if(req.arg_count_between(1, 3)) { @@ -85,10 +89,37 @@ EMSA* get_emsa(const std::string& algo_spec) } #endif +#if defined(BOTAN_HAS_ISO_9796) + if(req.algo_name() == "ISO_9796_DS2") + { + if(req.arg_count_between(1, 3)) + { + if(auto h = HashFunction::create(req.arg(0))) + { + const size_t salt_size = req.arg_as_integer(2, h->output_length()); + const bool implicit = req.arg(1, "exp") == "imp"; + return new ISO_9796_DS2(h.release(), implicit, salt_size); + } + } + } + //ISO-9796-2 DS 3 is deterministic and DS2 without a salt + if(req.algo_name() == "ISO_9796_DS3") + { + if(req.arg_count_between(1, 2)) + { + if(auto h = HashFunction::create(req.arg(0))) + { + const bool implicit = req.arg(1, "exp") == "imp"; + return new ISO_9796_DS3(h.release(), implicit); + } + } + } +#endif + #if defined(BOTAN_HAS_EMSA_X931) if(req.algo_name() == "EMSA_X931" || - req.algo_name() == "EMSA2" || - req.algo_name() == "X9.31") + req.algo_name() == "EMSA2" || + req.algo_name() == "X9.31") { if(req.arg_count() == 1) { diff --git a/src/lib/pk_pad/iso9796/info.txt b/src/lib/pk_pad/iso9796/info.txt new file mode 100644 index 000000000..3458ece45 --- /dev/null +++ b/src/lib/pk_pad/iso9796/info.txt @@ -0,0 +1,7 @@ +define ISO_9796 20161121 + +<requires> +mgf1 +hash_id +</requires> + diff --git a/src/lib/pk_pad/iso9796/iso9796.cpp b/src/lib/pk_pad/iso9796/iso9796.cpp new file mode 100644 index 000000000..db79661e3 --- /dev/null +++ b/src/lib/pk_pad/iso9796/iso9796.cpp @@ -0,0 +1,270 @@ +/* + * ISO-9796-2 - Digital signature schemes giving message recovery schemes 2 and 3 + * (C) 2016 Tobias Niemann, Hackmanit GmbH + * + * Botan is released under the Simplified BSD License (see license.txt) + */ + +#include <botan/iso9796.h> +#include <botan/mgf1.h> +#include <botan/internal/bit_ops.h> +#include <botan/hash_id.h> + +namespace Botan { + +namespace { + +secure_vector<byte> iso9796_encoding(const secure_vector<byte>& msg, + size_t output_bits, std::unique_ptr<HashFunction>& hash, size_t SALT_SIZE, bool implicit, RandomNumberGenerator& rng) + { + const size_t output_length = (output_bits + 7) / 8; + + //set trailer length + size_t tLength = 1; + if(!implicit) + { + tLength = 2; + } + const size_t HASH_SIZE = hash->output_length(); + + if(output_length <= HASH_SIZE + SALT_SIZE + tLength) + { + throw Encoding_Error("ISO9796-2::encoding_of: Output length is too small"); + } + + //calculate message capacity + const size_t capacity = output_length + - HASH_SIZE - SALT_SIZE - tLength - 1; + + //msg1 is the recoverable and msg2 the unrecoverable message part. + secure_vector<byte> msg1; + secure_vector<byte> msg2; + if(msg.size() > capacity) + { + msg1 = secure_vector<byte> (msg.begin(), msg.begin() + capacity); + msg2 = secure_vector<byte> (msg.begin() + capacity, msg.end()); + hash->update(msg2); + } + else + { + msg1 = msg; + } + msg2 = hash->final(); + + //compute H(C||msg1 ||H(msg2)||S) + uint64_t msgLength = msg1.size(); + secure_vector<byte> salt = rng.random_vec(SALT_SIZE); + hash->update_be(msgLength * 8); + hash->update(msg1); + hash->update(msg2); + hash->update(salt); + secure_vector<byte> H = hash->final(); + + secure_vector<byte> EM(output_length); + + //compute message offset. + size_t offset = output_length - HASH_SIZE - SALT_SIZE - tLength + - msgLength - 1; + + //insert message border (0x01), msg1 and salt into the output buffer + EM[offset] = 0x01; + buffer_insert(EM, offset + 1, msg1); + buffer_insert(EM, offset + 1 + msgLength, salt); + + //apply mask + mgf1_mask(*hash, H.data(), HASH_SIZE, EM.data(), + output_length - HASH_SIZE - tLength); + buffer_insert(EM, output_length - HASH_SIZE - tLength, H); + //set implicit/ISO trailer + if(!implicit) + { + byte hash_id = ieee1363_hash_id(hash->name()); + if(!hash_id) + { + throw Encoding_Error("ISO9796-2::encoding_of: no hash identifier for " + hash->name()); + } + EM[output_length - 1] = 0xCC; + EM[output_length - 2] = hash_id; + + } + else + { + EM[output_length - 1] = 0xBC; + } + //clear the leftmost bit (confer bouncy castle) + EM[0] &= 0x7F; + + return EM; + } + +bool iso9796_verification(const secure_vector<byte>& const_coded, + const secure_vector<byte>& raw, size_t key_bits, std::unique_ptr<HashFunction>& hash, size_t SALT_SIZE) + { + const size_t HASH_SIZE = hash->output_length(); + const size_t KEY_BYTES = (key_bits + 7) / 8; + + if(const_coded.size() != KEY_BYTES) + { + return false; + } + //get trailer length + size_t tLength; + if(const_coded[const_coded.size() - 1] == 0xBC) + { + tLength = 1; + } + else + { + byte hash_id = ieee1363_hash_id(hash->name()); + if((!const_coded[const_coded.size() - 2]) || (const_coded[const_coded.size() - 2] != hash_id) || + (const_coded[const_coded.size() - 1] != 0xCC)) + { + return false; //in case of wrong ISO trailer. + } + tLength = 2; + } + + secure_vector<byte> coded = const_coded; + + //remove mask + byte* DB = coded.data(); + const size_t DB_size = coded.size() - HASH_SIZE - tLength; + + const byte* H = &coded[DB_size]; + + mgf1_mask(*hash, H, HASH_SIZE, DB, DB_size); + //clear the leftmost bit (confer bouncy castle) + DB[0] &= 0x7F; + + //recover msg1 and salt + size_t msg1_offset = 0; + for(size_t j = 0; j != DB_size; ++j) + { + if(DB[j] == 0x01) + { + msg1_offset = j + 1; + break; + } + } + if(msg1_offset == 0) + { + return false; + } + secure_vector<byte> msg1(coded.begin() + msg1_offset, + coded.end() - tLength - HASH_SIZE - SALT_SIZE); + secure_vector<byte> salt(coded.begin() + msg1_offset + msg1.size(), + coded.end() - tLength - HASH_SIZE); + + //compute H2(C||msg1||H(msg2)||S*). * indicates a recovered value + const size_t capacity = (key_bits - 2 + 7) / 8 - HASH_SIZE + - SALT_SIZE - tLength - 1; + secure_vector<byte> msg1raw; + secure_vector<byte> msg2; + if(raw.size() > capacity) + { + msg1raw = secure_vector<byte> (raw.begin(), raw.begin() + capacity); + msg2 = secure_vector<byte> (raw.begin() + capacity, raw.end()); + hash->update(msg2); + } + else + { + msg1raw = raw; + } + msg2 = hash->final(); + + uint64_t msg1rawLength = msg1raw.size(); + hash->update_be(msg1rawLength * 8); + hash->update(msg1raw); + hash->update(msg2); + hash->update(salt); + secure_vector<byte> H3 = hash->final(); + + //compute H3(C*||msg1*||H(msg2)||S*) * indicates a recovered value + uint64_t msgLength = msg1.size(); + hash->update_be(msgLength * 8); + hash->update(msg1); + hash->update(msg2); + hash->update(salt); + secure_vector<byte> H2 = hash->final(); + + //check if H3 == H2 + return same_mem(H3.data(), H2.data(), HASH_SIZE); + } + +} +/* + * ISO-9796-2 signature scheme 2 + * DS 2 is probabilistic + */ +void ISO_9796_DS2::update(const byte input[], size_t length) + { + //need to buffer message completely, before digest + m_msg_buffer.insert(m_msg_buffer.end(), input, input+length); + } + +/* + * Return the raw (unencoded) data + */ +secure_vector<byte> ISO_9796_DS2::raw_data() + { + secure_vector<byte> retbuffer = m_msg_buffer; + m_msg_buffer.clear(); + return retbuffer; + } + +/* + * ISO-9796-2 scheme 2 encode operation + */ +secure_vector<byte> ISO_9796_DS2::encoding_of(const secure_vector<byte>& msg, + size_t output_bits, RandomNumberGenerator& rng) + { + return iso9796_encoding(msg, output_bits, m_hash, m_SALT_SIZE, m_implicit, rng); + } + +/* + * ISO-9796-2 scheme 2 verify operation + */ +bool ISO_9796_DS2::verify(const secure_vector<byte>& const_coded, + const secure_vector<byte>& raw, size_t key_bits) + { + return iso9796_verification(const_coded,raw,key_bits,m_hash,m_SALT_SIZE); + } + +/* + * ISO-9796-2 signature scheme 3 + * DS 3 is deterministic and equals DS2 without salt + */ +void ISO_9796_DS3::update(const byte input[], size_t length) + { + //need to buffer message completely, before digest + m_msg_buffer.insert(m_msg_buffer.end(), input, input+length); + } + +/* + * Return the raw (unencoded) data + */ +secure_vector<byte> ISO_9796_DS3::raw_data() + { + secure_vector<byte> retbuffer = m_msg_buffer; + m_msg_buffer.clear(); + return retbuffer; + } + +/* + * ISO-9796-2 scheme 3 encode operation + */ +secure_vector<byte> ISO_9796_DS3::encoding_of(const secure_vector<byte>& msg, + size_t output_bits, RandomNumberGenerator& rng) + { + return iso9796_encoding(msg, output_bits, m_hash, 0, m_implicit, rng); + } + +/* + * ISO-9796-2 scheme 3 verify operation + */ +bool ISO_9796_DS3::verify(const secure_vector<byte>& const_coded, + const secure_vector<byte>& raw, size_t key_bits) + { + return iso9796_verification(const_coded, raw, key_bits, m_hash, 0); + } +}
\ No newline at end of file diff --git a/src/lib/pk_pad/iso9796/iso9796.h b/src/lib/pk_pad/iso9796/iso9796.h new file mode 100644 index 000000000..73c6d5236 --- /dev/null +++ b/src/lib/pk_pad/iso9796/iso9796.h @@ -0,0 +1,94 @@ +/* + * ISO-9796-2 - Digital signature schemes giving message recovery schemes 2 and 3 + * (C) 2016 Tobias Niemann, Hackmanit GmbH + * + * Botan is released under the Simplified BSD License (see license.txt) + */ + +#ifndef ISO9796_H +#define ISO9796_H + +#include <botan/emsa.h> +#include <botan/hash.h> + +namespace Botan { + +/** +* ISO-9796-2 - Digital signature scheme 2 (probabilistic) +*/ +class BOTAN_DLL ISO_9796_DS2 final : public EMSA + { + public: + /** + * @param hash function to use + * @param use implicit ISO trailer + */ + explicit ISO_9796_DS2(HashFunction* hash, bool implicit = false) : m_hash(hash), m_implicit(implicit), + m_SALT_SIZE(hash->output_length()) {} + + /** + * @param hash function to use + * @param whether or not the trailer is implicit + * @param size of the salt to use in bytes + */ + ISO_9796_DS2(HashFunction* hash, bool implicit, size_t salt_size) : m_hash(hash), m_implicit(implicit), + m_SALT_SIZE(salt_size) {} + + EMSA* clone() override + {return new ISO_9796_DS2(m_hash->clone(), m_implicit, m_SALT_SIZE);} + private: + void update(const byte input[], size_t length) override; + + secure_vector<byte> raw_data() override; + + secure_vector<byte> encoding_of(const secure_vector<byte>& msg, + size_t output_bits, + RandomNumberGenerator& rng) override; + + bool verify(const secure_vector<byte>& coded, + const secure_vector<byte>& raw, + size_t key_bits) override; + + std::unique_ptr<HashFunction> m_hash; + bool m_implicit; + size_t m_SALT_SIZE; + secure_vector<byte> m_msg_buffer; + }; + +/** +* ISO-9796-2 - Digital signature scheme 3 (deterministic) +*/ +class BOTAN_DLL ISO_9796_DS3 final : public EMSA + { + public: + /** + * @param hash function to use + * @param whether or not the trailer is implicit + */ + ISO_9796_DS3(HashFunction* hash, bool implicit = false) : m_hash(hash), m_implicit(implicit) + {} + + EMSA* clone() override + {return new ISO_9796_DS3(m_hash->clone(), m_implicit);} + private: + void update(const byte input[], size_t length) override; + + secure_vector<byte> raw_data() override; + + secure_vector<byte> encoding_of(const secure_vector<byte>& msg, + size_t output_bits, + RandomNumberGenerator& rng) override; + + bool verify(const secure_vector<byte>& coded, + const secure_vector<byte>& raw, + size_t key_bits) override; + + std::unique_ptr<HashFunction> m_hash; + bool m_implicit; + secure_vector<byte> m_msg_buffer; + }; + +} + +#endif + diff --git a/src/tests/data/pubkey/rsa_sig.vec b/src/tests/data/pubkey/rsa_sig.vec index c352d9205..19641cc19 100644 --- a/src/tests/data/pubkey/rsa_sig.vec +++ b/src/tests/data/pubkey/rsa_sig.vec @@ -772,3 +772,34 @@ Q = 1071223775029985949761012308882052996043679648337106606420705207383712700083 Msg = 454D5341342074657374206F66206C656164696E67203073 Nonce = E4AE5BB1DD6DF73F8F75E441DA531F0E493AC0A7 Signature = 8A64E30AEC76B278B08FF3BF61B7FF439DC2B0F6B789459F1386C0FBF24AF863EFC5A58C5E9CB841EA08D2E22E40293B1876BBB976947038AEEAA36B1751FF9713B9F7BD306D9360CC8D78B7A607F9CA7B4C18C308D85330E534337998D97D6F70F828D6AD1C9C7F6916476127993E4E6F7D596BA6C246F0EB7312A02D09BFB3 + +#ISO_9796-2 vectors taken from ISO/IEC 9796-2:2010 document +Padding = ISO_9796_DS2(RIPEMD-160) +E = 3 +P = 13176640956344281513356976392849532512598068945161920056997631118946602896999615353776582205891131806103614584425872495163794790854278317730307910685772081 +Q = 13358438383296401212212241736599969968896810298006662295507317025593488175806254771169730332279046987319731418872067829932261464845981989557960242434323009 +Msg = FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210 +Nonce = 436BCA9954EC376C96B79C95D4B82686F3494AD3 +Signature = A4958BADDA6AB0F5E7F544BB1313DB93BB7336053678459A31386D3A9F0A477F37B853DF6BBBA87BECAC7CD2B19FFACD98B40E820B638D5F7DDAAE56FF198EF6AB1002C376C1FFDE03041201FF8E6AF94AFDF05606E10E32F3F6909134864AEBD983AAA2BD725FCCA288DECE27810D34807956DC78F3CFC4EA45A8DFADA4226C + +Padding = ISO_9796_DS3(SHA-1,imp) +E = 3 +P = 13176640956344281513356976392849532512598068945161920056997631118946602896999615353776582205891131806103614584425872495163794790854278317730307910685772081 +Q = 13358438383296401212212241736599969968896810298006662295507317025593488175806254771169730332279046987319731418872067829932261464845981989557960242434323009 +Msg = +Signature = F9DD9F72FAB4AFFCED3B0538C5848B27756AC50CB2890F4CBC268D96C5E91EE88E3B058F2EF6585FEF5323CA4E2C308CC6140CF5F53579605B3BF0CC621082EB77F4A42D3567355EAA151FB4652BAFFE58A4B3107A064669FD4177C8D79F5DE5EEC562FFA2D0F5D9C409AEA0D5B9F8DF493AF2F18F91D828CE32C4CC35C13113 + +Padding = ISO_9796_DS2(SHA-1,imp) +E = 3 +P = 13176640956344281513356976392849532512598068945161920056997631118946602896999615353776582205891131806103614584425872495163794790854278317730307910685772081 +Q = 13358438383296401212212241736599969968896810298006662295507317025593488175806254771169730332279046987319731418872067829932261464845981989557960242434323009 +Msg = 6162636462636465636465666465666765666768666768696768696A68696A6B696A6B6C6A6B6C6D6B6C6D6E6C6D6E6F6D6E6F706E6F70716F707172707172737172737472737475737475767475767775767778767778797778797A78797A61797A61627A6162636162636462636465 +Nonce = 4C95C1B87A1DE8ACC193C14CF3147FE9C6636078 +Signature = 92ACA17F284261771E4A1313C05104838C3CC91C1CB6F576CF95090A5FDEA51E3C189F65E6BA3F284268B4FF2363B3B912D023A91C96541AC1F9E60E58F6B3DA8DEB1B6941792AA6341DB18488366A5E1E18DBBAE4A2E39077A2B4FE1DFB34A2CCAD1812C4AFFAF55570855AAEB685DA2E1F124FF70F529FED02F515BFD572AE + +Padding = ISO_9796_DS3(SHA-1,exp) +E = 3 +P = 13176640956344281513356976392849532512598068945161920056997631118946602896999615353776582205891131806103614584425872495163794790854278317730307910685772081 +Q = 13358438383296401212212241736599969968896810298006662295507317025593488175806254771169730332279046987319731418872067829932261464845981989557960242434323009 +Msg = FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA98 +Signature = 30147ECB074705DDF33EF765D0EE1017D5535AB39A7727C4D8D4DC4242C693BD1FB544ECAE2323D1185BED05C8AA5F699D3AAED41FC3ECF9DF297A6156D6BC865196A619806E3FDFF8A8416D2984EF9E339400134A6D17122FCF0946783AEBD46F11397E66863E7428F4542DE2AE8A307355633F380F937B308C149F14194487 diff --git a/src/tests/data/pubkey/rsa_verify.vec b/src/tests/data/pubkey/rsa_verify.vec index 1a915d6b2..1b57d197a 100644 --- a/src/tests/data/pubkey/rsa_verify.vec +++ b/src/tests/data/pubkey/rsa_verify.vec @@ -159,3 +159,28 @@ E = 65537 N = 1701550760793421862543562289931026945394881781447262972888516885584876436247030582756068401883540332824266791335242161375224480335226475621762011038836557438486994223355586125107160686772929148665772020114806515137374005081042904112745447320291689531965352389072090097529696081399233391439242320144394058920893342027979668204812408099791474966507368371676137037366817304246182026179444421945259005812216012619671229384439063712942602208902904719453381421672196363 Msg = 7072696F6E636F7270 Signature = 32631E346368C620BAF6FA5475F04B56FB60BA5CA67D1E3E22805ED5910ECEE71777FE19827983151E88AA1F9E57E96FDC536CE2F927AA3B34A94441E72FB498A649864488D976A0A4AB7B6490451A4F4712A3AF3587579A791CF8CB18EA4AD388B5C34F6BF54E9CB0F4AC5EA21EA2AA42A2266EA755D5EFFC02FD41C583E1CBDA53C1821BB79FB392D68A4524B0F65EBB64FF6656C52BF54D5774DF2D916C9B793E206E0D5351D7B4D18DE3CA4CCFA8F7A3ABFB36048C9297F7512B3FDA70F7 + +#ISO-9796-2 vectors taken from Bouncy Castle +Padding = ISO_9796_DS2(RIPEMD-160,imp) +E = 17 +N = 125242242467304226980818040029626771449089399969616333381049941622953718673240322529328207020354780888067722576207206966012991943446137640922660671107037754599453565985942582513009492907982173446675216454634592761000191710251638590123948630732326307922952494464857505415177402322499891218582307842351942219477 +Msg = +Signature = 8df6d3e7d4381ee36ec8ec7c1067db3b28da9e06a31b16ebb30c004dcd7a7904a799445d57b4fe90fb697b1e747c38436edaf64584b61dd1c4ced18f4098a0cf0a50953daf56e18284f42826e00e8bd009003e475904da186acfe79c578af3b093a32d0f8ae8ec46853e803ec2b6cf09d8066d3d84e2862853b8a6d9ec66b9ec + +Padding = ISO_9796_DS3(SHA-1,exp) +E = 17 +N = 125242242467304226980818040029626771449089399969616333381049941622953718673240322529328207020354780888067722576207206966012991943446137640922660671107037754599453565985942582513009492907982173446675216454634592761000191710251638590123948630732326307922952494464857505415177402322499891218582307842351942219477 +Msg = 6162636462636465636465666465666765666768666768696768696A68696A6B696A6B6C6A6B6C6D6B6C6D6E6C6D6E6F6D6E6F706E6F70716F70717270717273 +Signature = 2486dd61e560e661511db92f41045a87cbbb78ce577d28da533bc15fdf9cbc2748311a5faa6501270b46414ba3549de34160c1ef18eff339eeeae2c53f7ed4a5fddc19c5b3f5c391e8efb5548555d478f0698ec351f6a4974c9c74f0a0eba9fc03db9253f41f02ffc5f03cb9d1973946993aa3f831aa1d9e73a783e67bf7695d + +Padding = ISO_9796_DS2(RIPEMD-160,exp) +E = 17 +N = 125242242467304226980818040029626771449089399969616333381049941622953718673240322529328207020354780888067722576207206966012991943446137640922660671107037754599453565985942582513009492907982173446675216454634592761000191710251638590123948630732326307922952494464857505415177402322499891218582307842351942219477 +Msg = FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA9876543210FEDCBA98 +Signature = 3d853e02ccea35ac803227458aaf5c964387e20390a476419e853ed415b3ad2ad750d19b4e4667597c1863ea2b0aa35fdbb4de589c4663583674e2c8d15d07daa54ff389ae96d78cceb2b5a50b649362357042b2c40d780361b7f6f089c7e27e92d21db1b3e3d368582e3dfdcf0312f727743c09c5c2cb3c0552b78db71be278 + +Padding = ISO_9796_DS3(RIPEMD-160,imp) +E = 17 +N = 125242242467304226980818040029626771449089399969616333381049941622953718673240322529328207020354780888067722576207206966012991943446137640922660671107037754599453565985942582513009492907982173446675216454634592761000191710251638590123948630732326307922952494464857505415177402322499891218582307842351942219477 +Msg = 6162636462636465636465666465666765666768666768696768696A68696A6B696A6B6C6A6B6C6D6B6C6D6E6C6D6E6F6D6E6F706E6F70716F707172707172737172737472737475737475767475767775767778767778797778797A78797A61797A61627A6162636162636462636465 +Signature = 5cf8d66c115143929ce7b568c14fef2faf5fad18b19d94b128be1f49dcc2168d51777fc23e448f84b0253b99fe735f2102314533b754b1ebf08a29085e9392fb6f4550be8948e7b9a55060b74a87d57aa6d82475176d2f7776d873afc4349cdf207a90304469f6256d83274bb698c6dabe9b209b8e6100f14d1ce290eaca175b
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