/* * Copyright (C) 2015 Southern Storm Software, Pty Ltd. * * Permission is hereby granted, free of charge, to any person obtaining a * copy of this software and associated documentation files (the "Software"), * to deal in the Software without restriction, including without limitation * the rights to use, copy, modify, merge, publish, distribute, sublicense, * and/or sell copies of the Software, and to permit persons to whom the * Software is furnished to do so, subject to the following conditions: * * The above copyright notice and this permission notice shall be included * in all copies or substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER * DEALINGS IN THE SOFTWARE. */ /* This example runs tests on the Curve25519 algorithm. */ #include #include #include #include void printNumber(const char *name, const uint8_t *x) { static const char hexchars[] = "0123456789ABCDEF"; Serial.print(name); Serial.print(" = "); for (uint8_t posn = 0; posn < 32; ++posn) { Serial.print(hexchars[(x[posn] >> 4) & 0x0F]); Serial.print(hexchars[x[posn] & 0x0F]); } Serial.println(); } // Check the eval() function using the test vectors from // section 6.1 of RFC 7748. void testEval() { static uint8_t alice_private[32] = { 0x77, 0x07, 0x6d, 0x0a, 0x73, 0x18, 0xa5, 0x7d, 0x3c, 0x16, 0xc1, 0x72, 0x51, 0xb2, 0x66, 0x45, 0xdf, 0x4c, 0x2f, 0x87, 0xeb, 0xc0, 0x99, 0x2a, 0xb1, 0x77, 0xfb, 0xa5, 0x1d, 0xb9, 0x2c, 0x2a }; static uint8_t const alice_public[32] = { 0x85, 0x20, 0xf0, 0x09, 0x89, 0x30, 0xa7, 0x54, 0x74, 0x8b, 0x7d, 0xdc, 0xb4, 0x3e, 0xf7, 0x5a, 0x0d, 0xbf, 0x3a, 0x0d, 0x26, 0x38, 0x1a, 0xf4, 0xeb, 0xa4, 0xa9, 0x8e, 0xaa, 0x9b, 0x4e, 0x6a }; static uint8_t bob_private[32] = { 0x5d, 0xab, 0x08, 0x7e, 0x62, 0x4a, 0x8a, 0x4b, 0x79, 0xe1, 0x7f, 0x8b, 0x83, 0x80, 0x0e, 0xe6, 0x6f, 0x3b, 0xb1, 0x29, 0x26, 0x18, 0xb6, 0xfd, 0x1c, 0x2f, 0x8b, 0x27, 0xff, 0x88, 0xe0, 0xeb }; static uint8_t const bob_public[32] = { 0xde, 0x9e, 0xdb, 0x7d, 0x7b, 0x7d, 0xc1, 0xb4, 0xd3, 0x5b, 0x61, 0xc2, 0xec, 0xe4, 0x35, 0x37, 0x3f, 0x83, 0x43, 0xc8, 0x5b, 0x78, 0x67, 0x4d, 0xad, 0xfc, 0x7e, 0x14, 0x6f, 0x88, 0x2b, 0x4f }; static uint8_t const shared_secret[32] = { 0x4a, 0x5d, 0x9d, 0x5b, 0xa4, 0xce, 0x2d, 0xe1, 0x72, 0x8e, 0x3b, 0xf4, 0x80, 0x35, 0x0f, 0x25, 0xe0, 0x7e, 0x21, 0xc9, 0x47, 0xd1, 0x9e, 0x33, 0x76, 0xf0, 0x9b, 0x3c, 0x1e, 0x16, 0x17, 0x42 }; // Fix up the private keys by applying the standard masks. alice_private[0] &= 0xF8; alice_private[31] = (alice_private[31] & 0x7F) | 0x40; bob_private[0] &= 0xF8; bob_private[31] = (bob_private[31] & 0x7F) | 0x40; // Evaluate the curve function and check the public keys. uint8_t result[32]; Serial.println("Fixed test vectors:"); Serial.print("Computing Alice's public key ... "); Serial.flush(); unsigned long start = micros(); Curve25519::eval(result, alice_private, 0); unsigned long elapsed = micros() - start; if (memcmp(result, alice_public, 32) == 0) { Serial.print("ok"); } else { Serial.println("failed"); printNumber("actual ", result); printNumber("expected", alice_public); } Serial.print(" (elapsed "); Serial.print(elapsed); Serial.println(" us)"); Serial.print("Computing Bob's public key ... "); Serial.flush(); start = micros(); Curve25519::eval(result, bob_private, 0); elapsed = micros() - start; if (memcmp(result, bob_public, 32) == 0) { Serial.print("ok"); } else { Serial.println("failed"); printNumber("actual ", result); printNumber("expected", bob_public); } Serial.print(" (elapsed "); Serial.print(elapsed); Serial.println(" us)"); // Compute the shared secret from each side. Serial.print("Computing Alice's shared secret ... "); Serial.flush(); start = micros(); Curve25519::eval(result, alice_private, bob_public); elapsed = micros() - start; if (memcmp(result, shared_secret, 32) == 0) { Serial.print("ok"); } else { Serial.println("failed"); printNumber("actual ", result); printNumber("expected", shared_secret); } Serial.print(" (elapsed "); Serial.print(elapsed); Serial.println(" us)"); Serial.print("Computing Bob's shared secret ... "); Serial.flush(); start = micros(); Curve25519::eval(result, bob_private, alice_public); elapsed = micros() - start; if (memcmp(result, shared_secret, 32) == 0) { Serial.print("ok"); } else { Serial.println("failed"); printNumber("actual ", result); printNumber("expected", shared_secret); } Serial.print(" (elapsed "); Serial.print(elapsed); Serial.println(" us)"); } void testDH() { static uint8_t alice_k[32]; static uint8_t alice_f[32]; static uint8_t bob_k[32]; static uint8_t bob_f[32]; Serial.println("Diffie-Hellman key exchange:"); Serial.print("Generate random k/f for Alice ... "); Serial.flush(); unsigned long start = micros(); Curve25519::dh1(alice_k, alice_f); unsigned long elapsed = micros() - start; Serial.print("elapsed "); Serial.print(elapsed); Serial.println(" us"); Serial.print("Generate random k/f for Bob ... "); Serial.flush(); start = micros(); Curve25519::dh1(bob_k, bob_f); elapsed = micros() - start; Serial.print("elapsed "); Serial.print(elapsed); Serial.println(" us"); Serial.print("Generate shared secret for Alice ... "); Serial.flush(); start = micros(); Curve25519::dh2(bob_k, alice_f); elapsed = micros() - start; Serial.print("elapsed "); Serial.print(elapsed); Serial.println(" us"); Serial.print("Generate shared secret for Bob ... "); Serial.flush(); start = micros(); Curve25519::dh2(alice_k, bob_f); elapsed = micros() - start; Serial.print("elapsed "); Serial.print(elapsed); Serial.println(" us"); Serial.print("Check that the shared secrets match ... "); if (memcmp(alice_k, bob_k, 32) == 0) Serial.println("ok"); else Serial.println("failed"); } void setup() { Serial.begin(9600); // Start the random number generator. We don't initialise a noise // source here because we don't need one for testing purposes. // Real DH applications should of course use a proper noise source. RNG.begin("TestCurve25519 1.0", 950); // Perform the tests. testEval(); Serial.println(); testDH(); Serial.println(); } void loop() { }