// -*- mode: rust; -*- // // This file is part of x25519-dalek. // Copyright (c) 2017 Isis Lovecruft // See LICENSE for licensing information. // // Authors: // - Isis Agora Lovecruft //! x25519 Diffie-Hellman key exchange //! //! This implements x25519 key exchange as specified by Mike Hamburg //! and Adam Langley in [RFC7748](https://tools.ietf.org/html/rfc7748). use clear_on_drop::clear::Clear; use curve25519_dalek::constants::ED25519_BASEPOINT_TABLE; use curve25519_dalek::montgomery::MontgomeryPoint; use curve25519_dalek::scalar::Scalar; use rand_core::RngCore; use rand_core::CryptoRng; /// A DH ephemeral public key. #[repr(C)] pub struct EphemeralPublic(pub (crate) MontgomeryPoint); /// A DH ephemeral secret key. #[repr(C)] #[derive(Default)] // we derive Default in order to use the clear() method in Drop pub struct EphemeralSecret(pub (crate) Scalar); /// Overwrite ephemeral secret key material with null bytes when it goes out of scope. impl Drop for EphemeralSecret { fn drop(&mut self) { self.0.clear(); } } impl EphemeralSecret { /// Utility function to make it easier to call `x25519()` with /// an ephemeral secret key and montegomery point as input and /// a shared secret as the output. pub fn diffie_hellman(&self, their_public: &EphemeralPublic) -> SharedSecret { SharedSecret(x25519(&self.0, &MontgomeryPoint(*their_public.0.as_bytes()))) } /// Generate an x25519 `EphemeralSecret` key. pub fn new(csprng: &mut T) -> Self where T: RngCore + CryptoRng { let mut bytes = [0u8; 32]; csprng.fill_bytes(&mut bytes); EphemeralSecret(clamp_scalar(&bytes)) } } impl<'a> From<&'a EphemeralSecret> for EphemeralPublic { /// Given an x25519 `EphemeralSecret` key, compute its corresponding /// `EphemeralPublic` key. fn from(secret: &'a EphemeralSecret) -> EphemeralPublic { EphemeralPublic((&ED25519_BASEPOINT_TABLE * &secret.0).to_montgomery()) } } /// A DH SharedSecret #[repr(C)] pub struct SharedSecret(pub (crate) MontgomeryPoint); /// Overwrite shared secret material with null bytes when it goes out of scope. impl Drop for SharedSecret { fn drop(&mut self) { self.0.clear(); } } impl SharedSecret { /// View this shared secret key as a byte array. #[inline] pub fn as_bytes(&self) -> &[u8; 32] { &self.0.as_bytes() } } /// "Decode" a scalar from a 32-byte array. /// /// By "decode" here, what is really meant is applying key clamping by twiddling /// some bits. /// /// # Returns /// /// A `Scalar`. fn clamp_scalar(scalar: &[u8; 32]) -> Scalar { let mut s: [u8; 32] = scalar.clone(); s[0] &= 248; s[31] &= 127; s[31] |= 64; Scalar::from_bits(s) } /// The x25519 function, as specified in RFC7748. fn x25519(scalar: &Scalar, point: &MontgomeryPoint) -> MontgomeryPoint { let k: Scalar = clamp_scalar(scalar.as_bytes()); (k * point) } #[cfg(test)] mod test { use super::*; fn do_rfc7748_ladder_test1(input_scalar: &Scalar, input_point: &MontgomeryPoint, expected: &[u8; 32]) { let result = x25519(&input_scalar, &input_point); assert_eq!(result.0, *expected); } #[test] fn rfc7748_ladder_test1_vectorset1() { let input_scalar: Scalar = Scalar::from_bits([ 0xa5, 0x46, 0xe3, 0x6b, 0xf0, 0x52, 0x7c, 0x9d, 0x3b, 0x16, 0x15, 0x4b, 0x82, 0x46, 0x5e, 0xdd, 0x62, 0x14, 0x4c, 0x0a, 0xc1, 0xfc, 0x5a, 0x18, 0x50, 0x6a, 0x22, 0x44, 0xba, 0x44, 0x9a, 0xc4, ]); let input_point: MontgomeryPoint = MontgomeryPoint([ 0xe6, 0xdb, 0x68, 0x67, 0x58, 0x30, 0x30, 0xdb, 0x35, 0x94, 0xc1, 0xa4, 0x24, 0xb1, 0x5f, 0x7c, 0x72, 0x66, 0x24, 0xec, 0x26, 0xb3, 0x35, 0x3b, 0x10, 0xa9, 0x03, 0xa6, 0xd0, 0xab, 0x1c, 0x4c, ]); let expected: [u8; 32] = [ 0xc3, 0xda, 0x55, 0x37, 0x9d, 0xe9, 0xc6, 0x90, 0x8e, 0x94, 0xea, 0x4d, 0xf2, 0x8d, 0x08, 0x4f, 0x32, 0xec, 0xcf, 0x03, 0x49, 0x1c, 0x71, 0xf7, 0x54, 0xb4, 0x07, 0x55, 0x77, 0xa2, 0x85, 0x52, ]; do_rfc7748_ladder_test1(&input_scalar, &input_point, &expected); } #[test] fn rfc7748_ladder_test1_vectorset2() { let input_scalar: Scalar = Scalar::from_bits([ 0x4b, 0x66, 0xe9, 0xd4, 0xd1, 0xb4, 0x67, 0x3c, 0x5a, 0xd2, 0x26, 0x91, 0x95, 0x7d, 0x6a, 0xf5, 0xc1, 0x1b, 0x64, 0x21, 0xe0, 0xea, 0x01, 0xd4, 0x2c, 0xa4, 0x16, 0x9e, 0x79, 0x18, 0xba, 0x0d, ]); let input_point: MontgomeryPoint = MontgomeryPoint([ 0xe5, 0x21, 0x0f, 0x12, 0x78, 0x68, 0x11, 0xd3, 0xf4, 0xb7, 0x95, 0x9d, 0x05, 0x38, 0xae, 0x2c, 0x31, 0xdb, 0xe7, 0x10, 0x6f, 0xc0, 0x3c, 0x3e, 0xfc, 0x4c, 0xd5, 0x49, 0xc7, 0x15, 0xa4, 0x93, ]); let expected: [u8; 32] = [ 0x95, 0xcb, 0xde, 0x94, 0x76, 0xe8, 0x90, 0x7d, 0x7a, 0xad, 0xe4, 0x5c, 0xb4, 0xb8, 0x73, 0xf8, 0x8b, 0x59, 0x5a, 0x68, 0x79, 0x9f, 0xa1, 0x52, 0xe6, 0xf8, 0xf7, 0x64, 0x7a, 0xac, 0x79, 0x57, ]; do_rfc7748_ladder_test1(&input_scalar, &input_point, &expected); } #[test] #[ignore] // Run only if you want to burn a lot of CPU doing 1,000,000 DH operations fn rfc7748_ladder_test2() { use curve25519_dalek::constants::X25519_BASEPOINT; let mut k: Scalar = Scalar::from_bits(X25519_BASEPOINT.0); let mut u: MontgomeryPoint = X25519_BASEPOINT; let mut result: MontgomeryPoint; macro_rules! do_iterations { ($n:expr) => ( for _ in 0..$n { result = x25519(&k, &u); // OBVIOUS THING THAT I'M GOING TO NOTE ANYWAY BECAUSE I'VE // SEEN PEOPLE DO THIS WITH GOLANG'S STDLIB AND YOU SURE AS // HELL SHOULDN'T DO HORRIBLY STUPID THINGS LIKE THIS WITH // MY LIBRARY: // // NEVER EVER TREAT SCALARS AS POINTS AND/OR VICE VERSA. // // ↓↓ DON'T DO THIS ↓↓ u = MontgomeryPoint(k.as_bytes().clone()); k = Scalar::from_bits(result.to_bytes()); } ) } // After one iteration: // 422c8e7a6227d7bca1350b3e2bb7279f7897b87bb6854b783c60e80311ae3079 // After 1,000 iterations: // 684cf59ba83309552800ef566f2f4d3c1c3887c49360e3875f2eb94d99532c51 // After 1,000,000 iterations: // 7c3911e0ab2586fd864497297e575e6f3bc601c0883c30df5f4dd2d24f665424 do_iterations!(1); assert_eq!(k.as_bytes(), &[ 0x42, 0x2c, 0x8e, 0x7a, 0x62, 0x27, 0xd7, 0xbc, 0xa1, 0x35, 0x0b, 0x3e, 0x2b, 0xb7, 0x27, 0x9f, 0x78, 0x97, 0xb8, 0x7b, 0xb6, 0x85, 0x4b, 0x78, 0x3c, 0x60, 0xe8, 0x03, 0x11, 0xae, 0x30, 0x79, ]); do_iterations!(999); assert_eq!(k.as_bytes(), &[ 0x68, 0x4c, 0xf5, 0x9b, 0xa8, 0x33, 0x09, 0x55, 0x28, 0x00, 0xef, 0x56, 0x6f, 0x2f, 0x4d, 0x3c, 0x1c, 0x38, 0x87, 0xc4, 0x93, 0x60, 0xe3, 0x87, 0x5f, 0x2e, 0xb9, 0x4d, 0x99, 0x53, 0x2c, 0x51, ]); do_iterations!(999_000); assert_eq!(k.as_bytes(), &[ 0x7c, 0x39, 0x11, 0xe0, 0xab, 0x25, 0x86, 0xfd, 0x86, 0x44, 0x97, 0x29, 0x7e, 0x57, 0x5e, 0x6f, 0x3b, 0xc6, 0x01, 0xc0, 0x88, 0x3c, 0x30, 0xdf, 0x5f, 0x4d, 0xd2, 0xd2, 0x4f, 0x66, 0x54, 0x24, ]); } }