+#![allow(dead_code)]
-pub fn foo() -> u8 {
- 1
+use curve25519_dalek::constants::ED25519_BASEPOINT_POINT;
+use curve25519_dalek::edwards::CompressedEdwardsY;
+use curve25519_dalek::edwards::EdwardsPoint as c2_Element;
+use curve25519_dalek::scalar::Scalar as c2_Scalar;
+use hkdf::Hkdf;
+use num_bigint::BigUint;
+use rand::{CryptoRng, OsRng, Rng};
+use sha2::{Digest, Sha256};
+
+//use hex::ToHex;
+
+#[derive(Debug, PartialEq)]
+pub enum ErrorType {
+ BadSide,
+ WrongLength,
+ CorruptMessage,
}
+#[derive(Debug, PartialEq)]
+pub struct SPAKEErr {
+ pub kind: ErrorType,
+}
-trait Group {
+pub trait Group {
type Scalar;
type Element;
- pub fn scalarmult(s: Scalar) -> Element;
- pub fn scalar_from_integer(u8) -> Scalar;
+ //type Element: Add<Output=Self::Element>
+ // + Mul<Self::Scalar, Output=Self::Element>;
+ // const element_length: usize; // in unstable, or u8
+ //type ElementBytes : Index<usize, Output=u8>+IndexMut<usize>; // later
+ type TranscriptHash;
+ fn const_m() -> Self::Element;
+ fn const_n() -> Self::Element;
+ fn const_s() -> Self::Element;
+ fn hash_to_scalar(s: &[u8]) -> Self::Scalar;
+ fn random_scalar<T>(cspring: &mut T) -> Self::Scalar
+ where
+ T: Rng + CryptoRng;
+ fn scalar_neg(s: &Self::Scalar) -> Self::Scalar;
+ fn element_to_bytes(e: &Self::Element) -> Vec<u8>;
+ fn bytes_to_element(b: &[u8]) -> Option<Self::Element>;
+ fn element_length() -> usize;
+ fn basepoint_mult(s: &Self::Scalar) -> Self::Element;
+ fn scalarmult(e: &Self::Element, s: &Self::Scalar) -> Self::Element;
+ fn add(a: &Self::Element, b: &Self::Element) -> Self::Element;
}
+pub struct Ed25519Group;
+
+impl Group for Ed25519Group {
+ type Scalar = c2_Scalar;
+ type Element = c2_Element;
+ //type ElementBytes = Vec<u8>;
+ //type ElementBytes = [u8; 32];
+ //type ScalarBytes
+ type TranscriptHash = Sha256;
+
+ fn const_m() -> c2_Element {
+ // python -c "import binascii, spake2; b=binascii.hexlify(spake2.ParamsEd25519.M.to_bytes()); print(', '.join(['0x'+b[i:i+2] for i in range(0,len(b),2)]))"
+ // 15cfd18e385952982b6a8f8c7854963b58e34388c8e6dae891db756481a02312
+ CompressedEdwardsY([
+ 0x15, 0xcf, 0xd1, 0x8e, 0x38, 0x59, 0x52, 0x98, 0x2b, 0x6a, 0x8f, 0x8c, 0x78, 0x54,
+ 0x96, 0x3b, 0x58, 0xe3, 0x43, 0x88, 0xc8, 0xe6, 0xda, 0xe8, 0x91, 0xdb, 0x75, 0x64,
+ 0x81, 0xa0, 0x23, 0x12,
+ ]).decompress()
+ .unwrap()
+ }
+
+ fn const_n() -> c2_Element {
+ // python -c "import binascii, spake2; b=binascii.hexlify(spake2.ParamsEd25519.N.to_bytes()); print(', '.join(['0x'+b[i:i+2] for i in range(0,len(b),2)]))"
+ // f04f2e7eb734b2a8f8b472eaf9c3c632576ac64aea650b496a8a20ff00e583c3
+ CompressedEdwardsY([
+ 0xf0, 0x4f, 0x2e, 0x7e, 0xb7, 0x34, 0xb2, 0xa8, 0xf8, 0xb4, 0x72, 0xea, 0xf9, 0xc3,
+ 0xc6, 0x32, 0x57, 0x6a, 0xc6, 0x4a, 0xea, 0x65, 0x0b, 0x49, 0x6a, 0x8a, 0x20, 0xff,
+ 0x00, 0xe5, 0x83, 0xc3,
+ ]).decompress()
+ .unwrap()
+ }
+
+ fn const_s() -> c2_Element {
+ // python -c "import binascii, spake2; b=binascii.hexlify(spake2.ParamsEd25519.S.to_bytes()); print(', '.join(['0x'+b[i:i+2] for i in range(0,len(b),2)]))"
+ // 6f00dae87c1be1a73b5922ef431cd8f57879569c222d22b1cd71e8546ab8e6f1
+ CompressedEdwardsY([
+ 0x6f, 0x00, 0xda, 0xe8, 0x7c, 0x1b, 0xe1, 0xa7, 0x3b, 0x59, 0x22, 0xef, 0x43, 0x1c,
+ 0xd8, 0xf5, 0x78, 0x79, 0x56, 0x9c, 0x22, 0x2d, 0x22, 0xb1, 0xcd, 0x71, 0xe8, 0x54,
+ 0x6a, 0xb8, 0xe6, 0xf1,
+ ]).decompress()
+ .unwrap()
+ }
-struct SPAKE2<G: Group> {
- x: G::Scalar,
- password: Vec<u8>,
- idA: Vec<u8>,
- idB: Vec<u8>,
- pw: G::Scalar,
+ fn hash_to_scalar(s: &[u8]) -> c2_Scalar {
+ ed25519_hash_to_scalar(s)
+ }
+ fn random_scalar<T>(cspring: &mut T) -> c2_Scalar
+ where
+ T: Rng + CryptoRng,
+ {
+ c2_Scalar::random(cspring)
+ }
+ fn scalar_neg(s: &c2_Scalar) -> c2_Scalar {
+ -s
+ }
+ fn element_to_bytes(s: &c2_Element) -> Vec<u8> {
+ s.compress().as_bytes().to_vec()
+ }
+ fn element_length() -> usize {
+ 32
+ }
+ fn bytes_to_element(b: &[u8]) -> Option<c2_Element> {
+ if b.len() != 32 {
+ return None;
+ }
+ //let mut bytes: [u8; 32] =
+ let mut bytes = [0u8; 32];
+ bytes.copy_from_slice(b);
+ let cey = CompressedEdwardsY(bytes);
+ // CompressedEdwardsY::new(b)
+ cey.decompress()
+ }
+
+ fn basepoint_mult(s: &c2_Scalar) -> c2_Element {
+ //c2_Element::basepoint_mult(s)
+ ED25519_BASEPOINT_POINT * s
+ }
+ fn scalarmult(e: &c2_Element, s: &c2_Scalar) -> c2_Element {
+ e * s
+ //e.scalar_mult(s)
+ }
+ fn add(a: &c2_Element, b: &c2_Element) -> c2_Element {
+ a + b
+ //a.add(b)
+ }
}
-impl<G> for SPAKE2 {
- pub fn new<G>(password: &[u8], idA: &[u8], idB: &[u8]) -> SPAKE2<G> {
- let pw: G::Scalar = hash_to_scalar::<G::Scalar>(password);
- let x: G::Scalar = random_scalar::<G::Scalar>;
+fn decimal_to_scalar(d: &[u8]) -> c2_Scalar {
+ let bytes = BigUint::parse_bytes(d, 10).unwrap().to_bytes_le();
+ assert_eq!(bytes.len(), 32);
+ let mut b2 = [0u8; 32];
+ b2.copy_from_slice(&bytes);
+ c2_Scalar::from_bytes_mod_order(b2)
+}
+
+fn ed25519_hash_to_scalar(s: &[u8]) -> c2_Scalar {
+ //c2_Scalar::hash_from_bytes::<Sha512>(&s)
+ // spake2.py does:
+ // h = HKDF(salt=b"", ikm=s, hash=SHA256, info=b"SPAKE2 pw", len=32+16)
+ // i = int(h, 16)
+ // i % q
+
+ let okm = Hkdf::<Sha256>::extract(Some(b""), s).expand(b"SPAKE2 pw", 32 + 16);
+ //println!("expanded: {}{}", "................................", okm.iter().to_hex()); // ok
- let M1 G::Element = MAGIC();
- let msg1 = ...
- let mut pv = Vec::new();
- pv.extend_from_slice(password);
- (SPAKE2 {x: x, password: pv, ... }, msg1)
+ let mut reducible = [0u8; 64]; // little-endian
+ for (i, x) in okm.iter().enumerate().take(32 + 16) {
+ reducible[32 + 16 - 1 - i] = *x;
}
-
- pub fn finish(self, msg2: &[u8]) -> Result<Key, SPAKEErr> {
+ //println!("reducible: {}", reducible.iter().to_hex());
+ c2_Scalar::from_bytes_mod_order_wide(&reducible)
+ //let reduced = c2_Scalar::reduce(&reducible);
+ //println!("reduced: {}", reduced.as_bytes().to_hex());
+ //println!("done");
+ //reduced
+}
+
+fn ed25519_hash_ab(
+ password_vec: &[u8],
+ id_a: &[u8],
+ id_b: &[u8],
+ first_msg: &[u8],
+ second_msg: &[u8],
+ key_bytes: &[u8],
+) -> Vec<u8> {
+ assert_eq!(first_msg.len(), 32);
+ assert_eq!(second_msg.len(), 32);
+ // the transcript is fixed-length, made up of 6 32-byte values:
+ // byte 0-31 : sha256(pw)
+ // byte 32-63 : sha256(idA)
+ // byte 64-95 : sha256(idB)
+ // byte 96-127 : X_msg
+ // byte 128-159: Y_msg
+ // byte 160-191: K_bytes
+ let mut transcript = [0u8; 6 * 32];
+
+ let mut pw_hash = Sha256::new();
+ pw_hash.input(password_vec);
+ transcript[0..32].copy_from_slice(&pw_hash.result());
+
+ let mut ida_hash = Sha256::new();
+ ida_hash.input(id_a);
+ transcript[32..64].copy_from_slice(&ida_hash.result());
+
+ let mut idb_hash = Sha256::new();
+ idb_hash.input(id_b);
+ transcript[64..96].copy_from_slice(&idb_hash.result());
+
+ transcript[96..128].copy_from_slice(first_msg);
+ transcript[128..160].copy_from_slice(second_msg);
+ transcript[160..192].copy_from_slice(key_bytes);
+
+ //println!("transcript: {:?}", transcript.iter().to_hex());
+
+ //let mut hash = G::TranscriptHash::default();
+ let mut hash = Sha256::new();
+ hash.input(&transcript);
+ hash.result().to_vec()
+}
+
+fn ed25519_hash_symmetric(
+ password_vec: &[u8],
+ id_s: &[u8],
+ msg_u: &[u8],
+ msg_v: &[u8],
+ key_bytes: &[u8],
+) -> Vec<u8> {
+ assert_eq!(msg_u.len(), 32);
+ assert_eq!(msg_v.len(), 32);
+ // # since we don't know which side is which, we must sort the messages
+ // first_msg, second_msg = sorted([msg1, msg2])
+ // transcript = b"".join([sha256(pw).digest(),
+ // sha256(idSymmetric).digest(),
+ // first_msg, second_msg, K_bytes])
+
+ // the transcript is fixed-length, made up of 5 32-byte values:
+ // byte 0-31 : sha256(pw)
+ // byte 32-63 : sha256(idSymmetric)
+ // byte 64-95 : X_msg
+ // byte 96-127 : Y_msg
+ // byte 128-159: K_bytes
+ let mut transcript = [0u8; 5 * 32];
+
+ let mut pw_hash = Sha256::new();
+ pw_hash.input(password_vec);
+ transcript[0..32].copy_from_slice(&pw_hash.result());
+
+ let mut ids_hash = Sha256::new();
+ ids_hash.input(id_s);
+ transcript[32..64].copy_from_slice(&ids_hash.result());
+
+ if msg_u < msg_v {
+ transcript[64..96].copy_from_slice(msg_u);
+ transcript[96..128].copy_from_slice(msg_v);
+ } else {
+ transcript[64..96].copy_from_slice(msg_v);
+ transcript[96..128].copy_from_slice(msg_u);
}
+ transcript[128..160].copy_from_slice(key_bytes);
+
+ let mut hash = Sha256::new();
+ hash.input(&transcript);
+ hash.result().to_vec()
}
+/* "session type pattern" */
+
+enum Side {
+ A,
+ B,
+ Symmetric,
+}
+pub struct SPAKE2<G: Group> {
+ //where &G::Scalar: Neg {
+ side: Side,
+ xy_scalar: G::Scalar,
+ password_vec: Vec<u8>,
+ id_a: Vec<u8>,
+ id_b: Vec<u8>,
+ id_s: Vec<u8>,
+ msg1: Vec<u8>,
+ password_scalar: G::Scalar,
+}
+
+impl<G: Group> SPAKE2<G> {
+ fn start_internal(
+ side: Side,
+ password: &[u8],
+ id_a: &[u8],
+ id_b: &[u8],
+ id_s: &[u8],
+ xy_scalar: G::Scalar,
+ ) -> (SPAKE2<G>, Vec<u8>) {
+ //let password_scalar: G::Scalar = hash_to_scalar::<G::Scalar>(password);
+ let password_scalar: G::Scalar = G::hash_to_scalar(password);
+
+ // a: X = B*x + M*pw
+ // b: Y = B*y + N*pw
+ // sym: X = B*x * S*pw
+ let blinding = match side {
+ Side::A => G::const_m(),
+ Side::B => G::const_n(),
+ Side::Symmetric => G::const_s(),
+ };
+ let m1: G::Element = G::add(
+ &G::basepoint_mult(&xy_scalar),
+ &G::scalarmult(&blinding, &password_scalar),
+ );
+ //let m1: G::Element = &G::basepoint_mult(&x) + &(blinding * &password_scalar);
+ let msg1: Vec<u8> = G::element_to_bytes(&m1);
+ let mut password_vec = Vec::new();
+ password_vec.extend_from_slice(password);
+ let mut id_a_copy = Vec::new();
+ id_a_copy.extend_from_slice(id_a);
+ let mut id_b_copy = Vec::new();
+ id_b_copy.extend_from_slice(id_b);
+ let mut id_s_copy = Vec::new();
+ id_s_copy.extend_from_slice(id_s);
+
+ let mut msg_and_side = Vec::new();
+ msg_and_side.push(match side {
+ Side::A => 0x41, // 'A'
+ Side::B => 0x42, // 'B'
+ Side::Symmetric => 0x53, // 'S'
+ });
+ msg_and_side.extend_from_slice(&msg1);
+
+ (
+ SPAKE2 {
+ side,
+ xy_scalar,
+ password_vec, // string
+ id_a: id_a_copy,
+ id_b: id_b_copy,
+ id_s: id_s_copy,
+ msg1: msg1.clone(),
+ password_scalar, // scalar
+ },
+ msg_and_side,
+ )
+ }
+
+ fn start_a_internal(
+ password: &[u8],
+ id_a: &[u8],
+ id_b: &[u8],
+ xy_scalar: G::Scalar,
+ ) -> (SPAKE2<G>, Vec<u8>) {
+ Self::start_internal(Side::A, password, id_a, id_b, b"", xy_scalar)
+ }
+
+ fn start_b_internal(
+ password: &[u8],
+ id_a: &[u8],
+ id_b: &[u8],
+ xy_scalar: G::Scalar,
+ ) -> (SPAKE2<G>, Vec<u8>) {
+ Self::start_internal(Side::B, password, id_a, id_b, b"", xy_scalar)
+ }
+
+ fn start_symmetric_internal(
+ password: &[u8],
+ id_s: &[u8],
+ xy_scalar: G::Scalar,
+ ) -> (SPAKE2<G>, Vec<u8>) {
+ Self::start_internal(Side::Symmetric, password, b"", b"", id_s, xy_scalar)
+ }
+
+ pub fn start_a(password: &[u8], id_a: &[u8], id_b: &[u8]) -> (SPAKE2<G>, Vec<u8>) {
+ let mut cspring: OsRng = OsRng::new().unwrap();
+ let xy_scalar: G::Scalar = G::random_scalar(&mut cspring);
+ Self::start_a_internal(password, id_a, id_b, xy_scalar)
+ }
+
+ pub fn start_b(password: &[u8], id_a: &[u8], id_b: &[u8]) -> (SPAKE2<G>, Vec<u8>) {
+ let mut cspring: OsRng = OsRng::new().unwrap();
+ let xy_scalar: G::Scalar = G::random_scalar(&mut cspring);
+ Self::start_b_internal(password, id_a, id_b, xy_scalar)
+ }
+
+ pub fn start_symmetric(password: &[u8], id_s: &[u8]) -> (SPAKE2<G>, Vec<u8>) {
+ let mut cspring: OsRng = OsRng::new().unwrap();
+ let xy_scalar: G::Scalar = G::random_scalar(&mut cspring);
+ Self::start_symmetric_internal(password, id_s, xy_scalar)
+ }
+
+ pub fn finish(self, msg2: &[u8]) -> Result<Vec<u8>, SPAKEErr> {
+ if msg2.len() != 1 + G::element_length() {
+ return Err(SPAKEErr {
+ kind: ErrorType::WrongLength,
+ });
+ }
+ let msg_side = msg2[0];
+
+ match self.side {
+ Side::A => match msg_side {
+ 0x42 => (), // 'B'
+ _ => {
+ return Err(SPAKEErr {
+ kind: ErrorType::BadSide,
+ })
+ }
+ },
+ Side::B => match msg_side {
+ 0x41 => (), // 'A'
+ _ => {
+ return Err(SPAKEErr {
+ kind: ErrorType::BadSide,
+ })
+ }
+ },
+ Side::Symmetric => match msg_side {
+ 0x53 => (), // 'S'
+ _ => {
+ return Err(SPAKEErr {
+ kind: ErrorType::BadSide,
+ })
+ }
+ },
+ }
+
+ let msg2_element = match G::bytes_to_element(&msg2[1..]) {
+ Some(x) => x,
+ None => {
+ return Err(SPAKEErr {
+ kind: ErrorType::CorruptMessage,
+ })
+ }
+ };
+
+ // a: K = (Y+N*(-pw))*x
+ // b: K = (X+M*(-pw))*y
+ let unblinding = match self.side {
+ Side::A => G::const_n(),
+ Side::B => G::const_m(),
+ Side::Symmetric => G::const_s(),
+ };
+ let tmp1 = G::scalarmult(&unblinding, &G::scalar_neg(&self.password_scalar));
+ let tmp2 = G::add(&msg2_element, &tmp1);
+ let key_element = G::scalarmult(&tmp2, &self.xy_scalar);
+ let key_bytes = G::element_to_bytes(&key_element);
+
+ // key = H(H(pw) + H(idA) + H(idB) + X + Y + K)
+ //transcript = b"".join([sha256(pw).digest(),
+ // sha256(idA).digest(), sha256(idB).digest(),
+ // X_msg, Y_msg, K_bytes])
+ //key = sha256(transcript).digest()
+ // note that both sides must use the same order
+
+ Ok(match self.side {
+ Side::A => ed25519_hash_ab(
+ &self.password_vec,
+ &self.id_a,
+ &self.id_b,
+ self.msg1.as_slice(),
+ &msg2[1..],
+ &key_bytes,
+ ),
+ Side::B => ed25519_hash_ab(
+ &self.password_vec,
+ &self.id_a,
+ &self.id_b,
+ &msg2[1..],
+ self.msg1.as_slice(),
+ &key_bytes,
+ ),
+ Side::Symmetric => ed25519_hash_symmetric(
+ &self.password_vec,
+ &self.id_s,
+ &self.msg1,
+ &msg2[1..],
+ &key_bytes,
+ ),
+ })
+ }
+}
+
+#[cfg(test)]
+mod test {
+ /* This compares results against the python compatibility tests:
+ spake2.test.test_compat.SPAKE2.test_asymmetric . The python test passes a
+ deterministic RNG (used only for tests, of course) into the per-Group
+ "random_scalar()" function, which results in some particular scalar.
+ */
+ use super::*;
+ use curve25519_dalek::constants::ED25519_BASEPOINT_POINT;
+ use hex;
+ use spake2::{Ed25519Group, SPAKE2};
+
+ // the python tests show the long-integer form of scalars. the rust code
+ // wants an array of bytes (little-endian). Make sure the way we convert
+ // things works correctly.
+
+ #[test]
+ fn test_convert() {
+ let t1_decimal =
+ b"2238329342913194256032495932344128051776374960164957527413114840482143558222";
+ let t1_scalar = decimal_to_scalar(t1_decimal);
+ let t1_bytes = t1_scalar.to_bytes();
+ let expected = [
+ 0x4e, 0x5a, 0xb4, 0x34, 0x5d, 0x47, 0x08, 0x84, 0x59, 0x13, 0xb4, 0x64, 0x1b, 0xc2,
+ 0x7d, 0x52, 0x52, 0xa5, 0x85, 0x10, 0x1b, 0xcc, 0x42, 0x44, 0xd4, 0x49, 0xf4, 0xa8,
+ 0x79, 0xd9, 0xf2, 0x04,
+ ];
+ assert_eq!(t1_bytes, expected);
+ //println!("t1_scalar is {:?}", t1_scalar);
+ }
+
+ #[test]
+ fn test_serialize_basepoint() {
+ // make sure elements are serialized same as the python library
+ let exp = "5866666666666666666666666666666666666666666666666666666666666666";
+ let base_vec = ED25519_BASEPOINT_POINT.compress().as_bytes().to_vec();
+ let base_hex = hex::encode(base_vec);
+ println!("exp: {:?}", exp);
+ println!("got: {:?}", base_hex);
+ assert_eq!(exp, base_hex);
+ }
+
+ #[test]
+ fn test_password_to_scalar() {
+ let password = b"password";
+ let expected_pw_scalar = decimal_to_scalar(
+ b"3515301705789368674385125653994241092664323519848410154015274772661223168839",
+ );
+ let pw_scalar = Ed25519Group::hash_to_scalar(password);
+ println!("exp: {:?}", hex::encode(expected_pw_scalar.as_bytes()));
+ println!("got: {:?}", hex::encode(pw_scalar.as_bytes()));
+ assert_eq!(&pw_scalar, &expected_pw_scalar);
+ }
+
+ #[test]
+ fn test_sizes() {
+ let (s1, msg1) = SPAKE2::<Ed25519Group>::start_a(b"password", b"idA", b"idB");
+ assert_eq!(msg1.len(), 1 + 32);
+ let (s2, msg2) = SPAKE2::<Ed25519Group>::start_b(b"password", b"idA", b"idB");
+ assert_eq!(msg2.len(), 1 + 32);
+ let key1 = s1.finish(&msg2).unwrap();
+ let key2 = s2.finish(&msg1).unwrap();
+ assert_eq!(key1.len(), 32);
+ assert_eq!(key2.len(), 32);
+
+ let (s1, msg1) = SPAKE2::<Ed25519Group>::start_symmetric(b"password", b"idS");
+ assert_eq!(msg1.len(), 1 + 32);
+ let (s2, msg2) = SPAKE2::<Ed25519Group>::start_symmetric(b"password", b"idS");
+ assert_eq!(msg2.len(), 1 + 32);
+ let key1 = s1.finish(&msg2).unwrap();
+ let key2 = s2.finish(&msg1).unwrap();
+ assert_eq!(key1.len(), 32);
+ assert_eq!(key2.len(), 32);
+ }
+
+ #[test]
+ fn test_hash_ab() {
+ let key = ed25519_hash_ab(
+ b"pw",
+ b"idA",
+ b"idB",
+ b"XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX", // len=32
+ b"YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY",
+ b"KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK",
+ );
+ let expected_key = "d59d9ba920f7092565cec747b08d5b2e981d553ac32fde0f25e5b4a4cfca3efd";
+ assert_eq!(hex::encode(key), expected_key);
+ }
+
+ #[test]
+ fn test_hash_symmetric() {
+ let key = ed25519_hash_symmetric(
+ b"pw",
+ b"idSymmetric",
+ b"XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX",
+ b"YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY",
+ b"KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK",
+ );
+ let expected_key = "b0b31e4401aae37d91a9a8bf6fbb1298cafc005ff9142e3ffc5b9799fb11128b";
+ assert_eq!(hex::encode(key), expected_key);
+ }
+
+ #[test]
+ fn test_asymmetric() {
+ let scalar_a = decimal_to_scalar(
+ b"2611694063369306139794446498317402240796898290761098242657700742213257926693",
+ );
+ let scalar_b = decimal_to_scalar(
+ b"7002393159576182977806091886122272758628412261510164356026361256515836884383",
+ );
+ let expected_pw_scalar = decimal_to_scalar(
+ b"3515301705789368674385125653994241092664323519848410154015274772661223168839",
+ );
+
+ println!("scalar_a is {}", hex::encode(scalar_a.as_bytes()));
+
+ let (s1, msg1) =
+ SPAKE2::<Ed25519Group>::start_a_internal(b"password", b"idA", b"idB", scalar_a);
+ let expected_msg1 = "416fc960df73c9cf8ed7198b0c9534e2e96a5984bfc5edc023fd24dacf371f2af9";
+
+ println!();
+ println!("xys1: {:?}", hex::encode(s1.xy_scalar.as_bytes()));
+ println!();
+ println!("pws1: {:?}", hex::encode(s1.password_scalar.as_bytes()));
+ println!("exp : {:?}", hex::encode(expected_pw_scalar.as_bytes()));
+ println!();
+ println!("msg1: {:?}", hex::encode(&msg1));
+ println!("exp : {:?}", expected_msg1);
+ println!();
+
+ assert_eq!(
+ hex::encode(expected_pw_scalar.as_bytes()),
+ hex::encode(s1.password_scalar.as_bytes())
+ );
+ assert_eq!(hex::encode(&msg1), expected_msg1);
+
+ let (s2, msg2) =
+ SPAKE2::<Ed25519Group>::start_b_internal(b"password", b"idA", b"idB", scalar_b);
+ assert_eq!(expected_pw_scalar, s2.password_scalar);
+ assert_eq!(
+ hex::encode(&msg2),
+ "42354e97b88406922b1df4bea1d7870f17aed3dba7c720b313edae315b00959309"
+ );
+
+ let key1 = s1.finish(&msg2).unwrap();
+ let key2 = s2.finish(&msg1).unwrap();
+ assert_eq!(key1, key2);
+ assert_eq!(
+ hex::encode(key1),
+ "712295de7219c675ddd31942184aa26e0a957cf216bc230d165b215047b520c1"
+ );
+ }
-{
- let (mut s, msg1) = SPAKE2::<Ed25519>(&password, &idA, &idB);
- //let msg1 = s.msg1;
- let key = s.finish(msg2);
}
projects / PAKEs.git / blobdiff