Initial port-over of ECDSA signing.
This commit is contained in:
@@ -66,6 +66,16 @@ impl SCN {
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(old_r, old_s, old_t)
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(old_r, old_s, old_t)
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}
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}
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pub fn divmod(&self, x: &SCN, m: &UCN) -> SCN {
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let sm = SCN::from(m.clone());
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let xmod = x % &sm;
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assert!(!xmod.negative);
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let i = xmod.value.modinv(&m);
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let si = SCN::from(i);
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let yi = self * si;
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yi % sm
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}
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}
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}
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impl fmt::UpperHex for SCN {
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impl fmt::UpperHex for SCN {
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@@ -136,6 +146,60 @@ impl Ord for SCN {
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}
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}
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}
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}
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//------------------------------------------------------------------------------
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//
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// Shifts
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//
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//------------------------------------------------------------------------------
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impl ShlAssign<u64> for SCN {
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fn shl_assign(&mut self, rhs: u64) {
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self.value <<= rhs;
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}
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}
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impl Shl<u64> for SCN {
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type Output = SCN;
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fn shl(self, rhs: u64) -> SCN {
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let mut copy = self.clone();
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copy.shl_assign(rhs);
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copy
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}
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}
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derive_shift_operators!(SCN, ShlAssign, Shl, shl_assign, shl, usize);
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derive_shift_operators!(SCN, ShlAssign, Shl, shl_assign, shl, u32);
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derive_shift_operators!(SCN, ShlAssign, Shl, shl_assign, shl, u16);
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derive_shift_operators!(SCN, ShlAssign, Shl, shl_assign, shl, u8);
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impl ShrAssign<u64> for SCN {
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fn shr_assign(&mut self, rhs: u64) {
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self.value >>= rhs;
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}
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}
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impl Shr<u64> for SCN {
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type Output = SCN;
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fn shr(self, rhs: u64) -> SCN {
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let mut copy = self.clone();
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copy.shr_assign(rhs);
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copy
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}
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}
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derive_shift_operators!(SCN, ShrAssign, Shr, shr_assign, shr, usize);
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derive_shift_operators!(SCN, ShrAssign, Shr, shr_assign, shr, u32);
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derive_shift_operators!(SCN, ShrAssign, Shr, shr_assign, shr, u16);
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derive_shift_operators!(SCN, ShrAssign, Shr, shr_assign, shr, u8);
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derive_signed_shift_operators!(SCN, usize, isize);
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derive_signed_shift_operators!(SCN, u64, i64);
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derive_signed_shift_operators!(SCN, u32, i32);
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derive_signed_shift_operators!(SCN, u16, i16);
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derive_signed_shift_operators!(SCN, u8, i8);
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//------------------------------------------------------------------------------
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//------------------------------------------------------------------------------
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//
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//
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// Arithmetic
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// Arithmetic
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@@ -5,7 +5,7 @@ mod gold_tests;
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mod parameters;
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mod parameters;
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mod public;
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mod public;
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mod private;
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mod private;
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mod rfc6979;
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pub(crate) mod rfc6979;
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pub use self::public::DSAPublic;
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pub use self::public::DSAPublic;
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pub use self::private::DSAPrivate;
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pub use self::private::DSAPrivate;
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290
src/ecdsa/curves.rs
Normal file
290
src/ecdsa/curves.rs
Normal file
@@ -0,0 +1,290 @@
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use cryptonum::{SCN,UCN};
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#[allow(non_snake_case)]
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#[derive(Clone,Debug,PartialEq)]
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pub struct EllipticCurve {
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pub p: UCN,
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pub n: UCN,
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pub SEED: UCN,
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pub c: UCN,
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pub a: UCN,
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pub b: UCN,
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pub Gx: SCN,
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pub Gy: SCN
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}
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impl EllipticCurve {
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/// Create a new elliptic curve structure that represents NIST's
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/// p192 curve.
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pub fn p192() -> EllipticCurve {
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EllipticCurve {
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p: UCN::from_bytes(&vec![
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff]),
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n: UCN::from_bytes(&vec![
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0x99, 0xde, 0xf8, 0x36,
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0x14, 0x6b, 0xc9, 0xb1, 0xb4, 0xd2, 0x28, 0x31]),
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SEED: UCN::from_bytes(&vec![
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0x30, 0x45, 0xae, 0x6f, 0xc8, 0x42, 0x2f, 0x64,
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0xed, 0x57, 0x95, 0x28, 0xd3, 0x81, 0x20, 0xea,
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0xe1, 0x21, 0x96, 0xd5]),
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c: UCN::from_bytes(&vec![
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0x30, 0x99, 0xd2, 0xbb, 0xbf, 0xcb, 0x25, 0x38,
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0x54, 0x2d, 0xcd, 0x5f, 0xb0, 0x78, 0xb6, 0xef,
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0x5f, 0x3d, 0x6f, 0xe2, 0xc7, 0x45, 0xde, 0x65]),
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a: UCN::from_bytes(&vec![
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfc]),
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b: UCN::from_bytes(&vec![
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0x64, 0x21, 0x05, 0x19, 0xe5, 0x9c, 0x80, 0xe7,
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0x0f, 0xa7, 0xe9, 0xab, 0x72, 0x24, 0x30, 0x49,
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0xfe, 0xb8, 0xde, 0xec, 0xc1, 0x46, 0xb9, 0xb1]),
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Gx: SCN::from(UCN::from_bytes(&vec![
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0x18, 0x8d, 0xa8, 0x0e, 0xb0, 0x30, 0x90, 0xf6,
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0x7c, 0xbf, 0x20, 0xeb, 0x43, 0xa1, 0x88, 0x00,
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0xf4, 0xff, 0x0a, 0xfd, 0x82, 0xff, 0x10, 0x12])),
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Gy: SCN::from(UCN::from_bytes(&vec![
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0x07, 0x19, 0x2b, 0x95, 0xff, 0xc8, 0xda, 0x78,
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0x63, 0x10, 0x11, 0xed, 0x6b, 0x24, 0xcd, 0xd5,
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0x73, 0xf9, 0x77, 0xa1, 0x1e, 0x79, 0x48, 0x11]))
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}
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}
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/// Create a new elliptic curve structure that represents NIST's
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/// p224 curve.
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pub fn p224() -> EllipticCurve {
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EllipticCurve {
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p: UCN::from_bytes(&vec![
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
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0x00, 0x00, 0x00, 0x01]),
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n: UCN::from_bytes(&vec![
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2,
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0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45,
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0x5c, 0x5c, 0x2a, 0x3d]),
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SEED: UCN::from_bytes(&vec![
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0xbd, 0x71, 0x34, 0x47, 0x99, 0xd5, 0xc7, 0xfc,
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0xdc, 0x45, 0xb5, 0x9f, 0xa3, 0xb9, 0xab, 0x8f,
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0x6a, 0x94, 0x8b, 0xc5]),
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c: UCN::from_bytes(&vec![
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0x5b, 0x05, 0x6c, 0x7e, 0x11, 0xdd, 0x68, 0xf4,
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0x04, 0x69, 0xee, 0x7f, 0x3c, 0x7a, 0x7d, 0x74,
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0xf7, 0xd1, 0x21, 0x11, 0x65, 0x06, 0xd0, 0x31,
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0x21, 0x82, 0x91, 0xfb]),
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a: UCN::from_bytes(&vec![
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xfe]),
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b: UCN::from_bytes(&vec![
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0xb4, 0x05, 0x0a, 0x85, 0x0c, 0x04, 0xb3, 0xab,
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0xf5, 0x41, 0x32, 0x56, 0x50, 0x44, 0xb0, 0xb7,
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0xd7, 0xbf, 0xd8, 0xba, 0x27, 0x0b, 0x39, 0x43,
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0x23, 0x55, 0xff, 0xb4]),
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Gx: SCN::from(UCN::from_bytes(&vec![
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0xb7, 0x0e, 0x0c, 0xbd, 0x6b, 0xb4, 0xbf, 0x7f,
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0x32, 0x13, 0x90, 0xb9, 0x4a, 0x03, 0xc1, 0xd3,
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0x56, 0xc2, 0x11, 0x22, 0x34, 0x32, 0x80, 0xd6,
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0x11, 0x5c, 0x1d, 0x21])),
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Gy: SCN::from(UCN::from_bytes(&vec![
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0xbd, 0x37, 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb,
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0x4c, 0x22, 0xdf, 0xe6, 0xcd, 0x43, 0x75, 0xa0,
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0x5a, 0x07, 0x47, 0x64, 0x44, 0xd5, 0x81, 0x99,
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0x85, 0x00, 0x7e, 0x34]))
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}
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}
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/// Create a new elliptic curve structure that represents NIST's
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/// p256 curve.
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pub fn p256() -> EllipticCurve {
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EllipticCurve {
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p: UCN::from_bytes(&vec![
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0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01,
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0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
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0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff]),
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n: UCN::from_bytes(&vec![
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0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xbc, 0xe6, 0xfa, 0xad, 0xa7, 0x17, 0x9e, 0x84,
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0xf3, 0xb9, 0xca, 0xc2, 0xfc, 0x63, 0x25, 0x51]),
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SEED: UCN::from_bytes(&vec![
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0xc4, 0x9d, 0x36, 0x08, 0x86, 0xe7, 0x04, 0x93,
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0x6a, 0x66, 0x78, 0xe1, 0x13, 0x9d, 0x26, 0xb7,
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0x81, 0x9f, 0x7e, 0x90]),
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c: UCN::from_bytes(&vec![
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0x7e, 0xfb, 0xa1, 0x66, 0x29, 0x85, 0xbe, 0x94,
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0x03, 0xcb, 0x05, 0x5c, 0x75, 0xd4, 0xf7, 0xe0,
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0xce, 0x8d, 0x84, 0xa9, 0xc5, 0x11, 0x4a, 0xbc,
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0xaf, 0x31, 0x77, 0x68, 0x01, 0x04, 0xfa, 0x0d]),
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a: UCN::from_bytes(&vec![
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0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01,
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0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
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0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfc]),
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b: UCN::from_bytes(&vec![
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0x5a, 0xc6, 0x35, 0xd8, 0xaa, 0x3a, 0x93, 0xe7,
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0xb3, 0xeb, 0xbd, 0x55, 0x76, 0x98, 0x86, 0xbc,
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0x65, 0x1d, 0x06, 0xb0, 0xcc, 0x53, 0xb0, 0xf6,
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0x3b, 0xce, 0x3c, 0x3e, 0x27, 0xd2, 0x60, 0x4b]),
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Gx: SCN::from(UCN::from_bytes(&vec![
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0x6b, 0x17, 0xd1, 0xf2, 0xe1, 0x2c, 0x42, 0x47,
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0xf8, 0xbc, 0xe6, 0xe5, 0x63, 0xa4, 0x40, 0xf2,
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0x77, 0x03, 0x7d, 0x81, 0x2d, 0xeb, 0x33, 0xa0,
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0xf4, 0xa1, 0x39, 0x45, 0xd8, 0x98, 0xc2, 0x96])),
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Gy: SCN::from(UCN::from_bytes(&vec![
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0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b,
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0x8e, 0xe7, 0xeb, 0x4a, 0x7c, 0x0f, 0x9e, 0x16,
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0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, 0x5e, 0xce,
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0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, 0x51, 0xf5]))
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}
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}
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/// Create a new elliptic curve structure that represents NIST's
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/// p256 curve.
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pub fn p384() -> EllipticCurve {
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EllipticCurve {
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p: UCN::from_bytes(&vec![
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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||||||
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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||||||
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe,
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||||||
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0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00,
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0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff]),
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n: UCN::from_bytes(&vec![
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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||||||
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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||||||
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0xc7, 0x63, 0x4d, 0x81, 0xf4, 0x37, 0x2d, 0xdf,
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0x58, 0x1a, 0x0d, 0xb2, 0x48, 0xb0, 0xa7, 0x7a,
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0xec, 0xec, 0x19, 0x6a, 0xcc, 0xc5, 0x29, 0x73]),
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SEED: UCN::from_bytes(&vec![
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0xa3, 0x35, 0x92, 0x6a, 0xa3, 0x19, 0xa2, 0x7a,
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0x1d, 0x00, 0x89, 0x6a, 0x67, 0x73, 0xa4, 0x82,
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0x7a, 0xcd, 0xac, 0x73]),
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c: UCN::from_bytes(&vec![
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0x79, 0xd1, 0xe6, 0x55, 0xf8, 0x68, 0xf0, 0x2f,
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0xff, 0x48, 0xdc, 0xde, 0xe1, 0x41, 0x51, 0xdd,
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0xb8, 0x06, 0x43, 0xc1, 0x40, 0x6d, 0x0c, 0xa1,
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0x0d, 0xfe, 0x6f, 0xc5, 0x20, 0x09, 0x54, 0x0a,
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0x49, 0x5e, 0x80, 0x42, 0xea, 0x5f, 0x74, 0x4f,
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0x6e, 0x18, 0x46, 0x67, 0xcc, 0x72, 0x24, 0x83]),
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a: UCN::from_bytes(&vec![
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||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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||||||
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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||||||
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe,
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||||||
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0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00,
|
||||||
|
0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xfc]),
|
||||||
|
b: UCN::from_bytes(&vec![
|
||||||
|
0xb3, 0x31, 0x2f, 0xa7, 0xe2, 0x3e, 0xe7, 0xe4,
|
||||||
|
0x98, 0x8e, 0x05, 0x6b, 0xe3, 0xf8, 0x2d, 0x19,
|
||||||
|
0x18, 0x1d, 0x9c, 0x6e, 0xfe, 0x81, 0x41, 0x12,
|
||||||
|
0x03, 0x14, 0x08, 0x8f, 0x50, 0x13, 0x87, 0x5a,
|
||||||
|
0xc6, 0x56, 0x39, 0x8d, 0x8a, 0x2e, 0xd1, 0x9d,
|
||||||
|
0x2a, 0x85, 0xc8, 0xed, 0xd3, 0xec, 0x2a, 0xef]),
|
||||||
|
Gx: SCN::from(UCN::from_bytes(&vec![
|
||||||
|
0xaa, 0x87, 0xca, 0x22, 0xbe, 0x8b, 0x05, 0x37,
|
||||||
|
0x8e, 0xb1, 0xc7, 0x1e, 0xf3, 0x20, 0xad, 0x74,
|
||||||
|
0x6e, 0x1d, 0x3b, 0x62, 0x8b, 0xa7, 0x9b, 0x98,
|
||||||
|
0x59, 0xf7, 0x41, 0xe0, 0x82, 0x54, 0x2a, 0x38,
|
||||||
|
0x55, 0x02, 0xf2, 0x5d, 0xbf, 0x55, 0x29, 0x6c,
|
||||||
|
0x3a, 0x54, 0x5e, 0x38, 0x72, 0x76, 0x0a, 0xb7])),
|
||||||
|
Gy: SCN::from(UCN::from_bytes(&vec![
|
||||||
|
0x36, 0x17, 0xde, 0x4a, 0x96, 0x26, 0x2c, 0x6f,
|
||||||
|
0x5d, 0x9e, 0x98, 0xbf, 0x92, 0x92, 0xdc, 0x29,
|
||||||
|
0xf8, 0xf4, 0x1d, 0xbd, 0x28, 0x9a, 0x14, 0x7c,
|
||||||
|
0xe9, 0xda, 0x31, 0x13, 0xb5, 0xf0, 0xb8, 0xc0,
|
||||||
|
0x0a, 0x60, 0xb1, 0xce, 0x1d, 0x7e, 0x81, 0x9d,
|
||||||
|
0x7a, 0x43, 0x1d, 0x7c, 0x90, 0xea, 0x0e, 0x5f]))
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Create a new elliptic curve structure that represents NIST's
|
||||||
|
/// p256 curve.
|
||||||
|
pub fn p521() -> EllipticCurve {
|
||||||
|
EllipticCurve {
|
||||||
|
p: UCN::from_bytes(&vec![
|
||||||
|
0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff]),
|
||||||
|
n: UCN::from_bytes(&vec![
|
||||||
|
0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xfa, 0x51, 0x86, 0x87, 0x83, 0xbf, 0x2f,
|
||||||
|
0x96, 0x6b, 0x7f, 0xcc, 0x01, 0x48, 0xf7, 0x09,
|
||||||
|
0xa5, 0xd0, 0x3b, 0xb5, 0xc9, 0xb8, 0x89, 0x9c,
|
||||||
|
0x47, 0xae, 0xbb, 0x6f, 0xb7, 0x1e, 0x91, 0x38,
|
||||||
|
0x64, 0x09]),
|
||||||
|
SEED: UCN::from_bytes(&vec![
|
||||||
|
0xd0, 0x9e, 0x88, 0x00, 0x29, 0x1c, 0xb8, 0x53,
|
||||||
|
0x96, 0xcc, 0x67, 0x17, 0x39, 0x32, 0x84, 0xaa,
|
||||||
|
0xa0, 0xda, 0x64, 0xba]),
|
||||||
|
c: UCN::from_bytes(&vec![
|
||||||
|
0xb4, 0x8b, 0xfa, 0x5f, 0x42, 0x0a, 0x34, 0x94,
|
||||||
|
0x95, 0x39, 0xd2, 0xbd, 0xfc, 0x26, 0x4e, 0xee,
|
||||||
|
0xeb, 0x07, 0x76, 0x88, 0xe4, 0x4f, 0xbf, 0x0a,
|
||||||
|
0xd8, 0xf6, 0xd0, 0xed, 0xb3, 0x7b, 0xd6, 0xb5,
|
||||||
|
0x33, 0x28, 0x10, 0x00, 0x51, 0x8e, 0x19, 0xf1,
|
||||||
|
0xb9, 0xff, 0xbe, 0x0f, 0xe9, 0xed, 0x8a, 0x3c,
|
||||||
|
0x22, 0x00, 0xb8, 0xf8, 0x75, 0xe5, 0x23, 0x86,
|
||||||
|
0x8c, 0x70, 0xc1, 0xe5, 0xbf, 0x55, 0xba, 0xd6,
|
||||||
|
0x37]),
|
||||||
|
a: UCN::from_bytes(&vec![
|
||||||
|
0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||||
|
0xff, 0xfc]),
|
||||||
|
b: UCN::from_bytes(&vec![
|
||||||
|
0x51, 0x95, 0x3e, 0xb9, 0x61, 0x8e, 0x1c, 0x9a,
|
||||||
|
0x1f, 0x92, 0x9a, 0x21, 0xa0, 0xb6, 0x85, 0x40,
|
||||||
|
0xee, 0xa2, 0xda, 0x72, 0x5b, 0x99, 0xb3, 0x15,
|
||||||
|
0xf3, 0xb8, 0xb4, 0x89, 0x91, 0x8e, 0xf1, 0x09,
|
||||||
|
0xe1, 0x56, 0x19, 0x39, 0x51, 0xec, 0x7e, 0x93,
|
||||||
|
0x7b, 0x16, 0x52, 0xc0, 0xbd, 0x3b, 0xb1, 0xbf,
|
||||||
|
0x07, 0x35, 0x73, 0xdf, 0x88, 0x3d, 0x2c, 0x34,
|
||||||
|
0xf1, 0xef, 0x45, 0x1f, 0xd4, 0x6b, 0x50, 0x3f,
|
||||||
|
0x00]),
|
||||||
|
Gx: SCN::from(UCN::from_bytes(&vec![
|
||||||
|
0xc6, 0x85, 0x8e, 0x06, 0xb7, 0x04, 0x04, 0xe9,
|
||||||
|
0xcd, 0x9e, 0x3e, 0xcb, 0x66, 0x23, 0x95, 0xb4,
|
||||||
|
0x42, 0x9c, 0x64, 0x81, 0x39, 0x05, 0x3f, 0xb5,
|
||||||
|
0x21, 0xf8, 0x28, 0xaf, 0x60, 0x6b, 0x4d, 0x3d,
|
||||||
|
0xba, 0xa1, 0x4b, 0x5e, 0x77, 0xef, 0xe7, 0x59,
|
||||||
|
0x28, 0xfe, 0x1d, 0xc1, 0x27, 0xa2, 0xff, 0xa8,
|
||||||
|
0xde, 0x33, 0x48, 0xb3, 0xc1, 0x85, 0x6a, 0x42,
|
||||||
|
0x9b, 0xf9, 0x7e, 0x7e, 0x31, 0xc2, 0xe5, 0xbd,
|
||||||
|
0x66])),
|
||||||
|
Gy: SCN::from(UCN::from_bytes(&vec![
|
||||||
|
0x18, 0x39, 0x29, 0x6a, 0x78, 0x9a, 0x3b, 0xc0,
|
||||||
|
0x04, 0x5c, 0x8a, 0x5f, 0xb4, 0x2c, 0x7d, 0x1b,
|
||||||
|
0xd9, 0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b, 0x44,
|
||||||
|
0x68, 0x17, 0xaf, 0xbd, 0x17, 0x27, 0x3e, 0x66,
|
||||||
|
0x2c, 0x97, 0xee, 0x72, 0x99, 0x5e, 0xf4, 0x26,
|
||||||
|
0x40, 0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad, 0x07,
|
||||||
|
0x61, 0x35, 0x3c, 0x70, 0x86, 0xa2, 0x72, 0xc2,
|
||||||
|
0x40, 0x88, 0xbe, 0x94, 0x76, 0x9f, 0xd1, 0x66,
|
||||||
|
0x50]))
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
142
src/ecdsa/math.rs
Normal file
142
src/ecdsa/math.rs
Normal file
@@ -0,0 +1,142 @@
|
|||||||
|
use cryptonum::{SCN,UCN};
|
||||||
|
use ecdsa::curves::EllipticCurve;
|
||||||
|
|
||||||
|
#[allow(non_snake_case)]
|
||||||
|
#[derive(Clone,Debug,PartialEq)]
|
||||||
|
pub struct ECCPoint {
|
||||||
|
pub curve: EllipticCurve,
|
||||||
|
pub x: SCN,
|
||||||
|
pub y: SCN
|
||||||
|
}
|
||||||
|
|
||||||
|
impl ECCPoint {
|
||||||
|
pub fn default(ec: &EllipticCurve) -> ECCPoint {
|
||||||
|
ECCPoint {
|
||||||
|
curve: ec.clone(),
|
||||||
|
x: ec.Gx.clone(),
|
||||||
|
y: ec.Gy.clone()
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn double(&self) -> ECCPoint {
|
||||||
|
let ua = SCN::from(self.curve.a.clone());
|
||||||
|
let up = SCN::from(self.curve.p.clone());
|
||||||
|
// lambda = (3 * xp ^ 2 + a) / 2 yp
|
||||||
|
let xpsq = &self.x * &self.x;
|
||||||
|
let lambda_top = &(&SCN::from(3) * &xpsq) + &ua;
|
||||||
|
let lambda_bot = &self.y << 1;
|
||||||
|
let lambda = lambda_top.divmod(&lambda_bot, &self.curve.p);
|
||||||
|
// xr = lambda ^ 2 - 2 xp
|
||||||
|
let xr_left = &lambda * λ
|
||||||
|
let xr_right = &self.x << 1;
|
||||||
|
let xr = (xr_left - xr_right) % &up;
|
||||||
|
// yr = lambda (xp - xr) - yp
|
||||||
|
let xdiff = &self.x - &xr;
|
||||||
|
let yr_left = &lambda * &xdiff;
|
||||||
|
let yr = (&yr_left - &self.y) % &up;
|
||||||
|
//
|
||||||
|
ECCPoint{ curve: self.curve.clone(), x: xr, y: yr }
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn add(&self, other: &ECCPoint) -> ECCPoint {
|
||||||
|
assert!(self.curve == other.curve);
|
||||||
|
let xdiff = &self.x - &other.x;
|
||||||
|
let ydiff = &self.y - &other.y;
|
||||||
|
let s = ydiff.divmod(&xdiff, &self.curve.p);
|
||||||
|
let pp = SCN::from(self.curve.p.clone());
|
||||||
|
let xr = (&(&s * &s) - &self.x - &other.x) % &pp;
|
||||||
|
let yr = (&s * (&self.x - &xr) - &self.y) % &pp;
|
||||||
|
ECCPoint{ curve: self.curve.clone(), x: xr, y: yr }
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn scale(&self, d: &UCN) -> ECCPoint {
|
||||||
|
assert!(!d.is_zero());
|
||||||
|
let one = UCN::from(1u64);
|
||||||
|
#[allow(non_snake_case)]
|
||||||
|
let mut Q = self.clone();
|
||||||
|
let i = d.bits() - 2;
|
||||||
|
let mut mask = &one << i;
|
||||||
|
|
||||||
|
while !mask.is_zero() {
|
||||||
|
Q = Q.double();
|
||||||
|
|
||||||
|
let test = d & &mask;
|
||||||
|
if !test.is_zero() {
|
||||||
|
Q = Q.add(&self);
|
||||||
|
}
|
||||||
|
mask >>= 1;
|
||||||
|
}
|
||||||
|
|
||||||
|
Q
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn bits2int(x: &[u8], qlen: usize) -> UCN {
|
||||||
|
let mut value = UCN::from_bytes(x);
|
||||||
|
let vlen = x.len() * 8;
|
||||||
|
|
||||||
|
if vlen > qlen {
|
||||||
|
value >>= vlen - qlen;
|
||||||
|
}
|
||||||
|
|
||||||
|
value
|
||||||
|
}
|
||||||
|
|
||||||
|
#[cfg(test)]
|
||||||
|
mod tests {
|
||||||
|
use super::*;
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn p256_double() {
|
||||||
|
let xbytes = vec![0x7c, 0xf2, 0x7b, 0x18, 0x8d, 0x03, 0x4f, 0x7e,
|
||||||
|
0x8a, 0x52, 0x38, 0x03, 0x04, 0xb5, 0x1a, 0xc3,
|
||||||
|
0xc0, 0x89, 0x69, 0xe2, 0x77, 0xf2, 0x1b, 0x35,
|
||||||
|
0xa6, 0x0b, 0x48, 0xfc, 0x47, 0x66, 0x99, 0x78];
|
||||||
|
let ybytes = vec![0x07, 0x77, 0x55, 0x10, 0xdb, 0x8e, 0xd0, 0x40,
|
||||||
|
0x29, 0x3d, 0x9a, 0xc6, 0x9f, 0x74, 0x30, 0xdb,
|
||||||
|
0xba, 0x7d, 0xad, 0xe6, 0x3c, 0xe9, 0x82, 0x29,
|
||||||
|
0x9e, 0x04, 0xb7, 0x9d, 0x22, 0x78, 0x73, 0xd1];
|
||||||
|
let x = SCN::from(UCN::from_bytes(&xbytes));
|
||||||
|
let y = SCN::from(UCN::from_bytes(&ybytes));
|
||||||
|
let base = ECCPoint::default(&EllipticCurve::p256());
|
||||||
|
let res = base.double();
|
||||||
|
let goal = ECCPoint{ curve: base.curve.clone(), x: x, y: y };
|
||||||
|
assert_eq!(res, goal);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn p256_add() {
|
||||||
|
let xbytes = vec![0x5e, 0xcb, 0xe4, 0xd1, 0xa6, 0x33, 0x0a, 0x44,
|
||||||
|
0xc8, 0xf7, 0xef, 0x95, 0x1d, 0x4b, 0xf1, 0x65,
|
||||||
|
0xe6, 0xc6, 0xb7, 0x21, 0xef, 0xad, 0xa9, 0x85,
|
||||||
|
0xfb, 0x41, 0x66, 0x1b, 0xc6, 0xe7, 0xfd, 0x6c];
|
||||||
|
let ybytes = vec![0x87, 0x34, 0x64, 0x0c, 0x49, 0x98, 0xff, 0x7e,
|
||||||
|
0x37, 0x4b, 0x06, 0xce, 0x1a, 0x64, 0xa2, 0xec,
|
||||||
|
0xd8, 0x2a, 0xb0, 0x36, 0x38, 0x4f, 0xb8, 0x3d,
|
||||||
|
0x9a, 0x79, 0xb1, 0x27, 0xa2, 0x7d, 0x50, 0x32];
|
||||||
|
let x = SCN::from(UCN::from_bytes(&xbytes));
|
||||||
|
let y = SCN::from(UCN::from_bytes(&ybytes));
|
||||||
|
let base = ECCPoint::default(&EllipticCurve::p256());
|
||||||
|
let res = base.add(&base.double());
|
||||||
|
let goal = ECCPoint{ curve: base.curve.clone(), x: x, y: y };
|
||||||
|
assert_eq!(res, goal);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn p256_scale() {
|
||||||
|
let xbytes = vec![0xea, 0x68, 0xd7, 0xb6, 0xfe, 0xdf, 0x0b, 0x71,
|
||||||
|
0x87, 0x89, 0x38, 0xd5, 0x1d, 0x71, 0xf8, 0x72,
|
||||||
|
0x9e, 0x0a, 0xcb, 0x8c, 0x2c, 0x6d, 0xf8, 0xb3,
|
||||||
|
0xd7, 0x9e, 0x8a, 0x4b, 0x90, 0x94, 0x9e, 0xe0];
|
||||||
|
let ybytes = vec![0x2a, 0x27, 0x44, 0xc9, 0x72, 0xc9, 0xfc, 0xe7,
|
||||||
|
0x87, 0x01, 0x4a, 0x96, 0x4a, 0x8e, 0xa0, 0xc8,
|
||||||
|
0x4d, 0x71, 0x4f, 0xea, 0xa4, 0xde, 0x82, 0x3f,
|
||||||
|
0xe8, 0x5a, 0x22, 0x4a, 0x4d, 0xd0, 0x48, 0xfa];
|
||||||
|
let x = SCN::from(UCN::from_bytes(&xbytes));
|
||||||
|
let y = SCN::from(UCN::from_bytes(&ybytes));
|
||||||
|
let base = ECCPoint::default(&EllipticCurve::p256());
|
||||||
|
let res = base.scale(&UCN::from(9 as u64));
|
||||||
|
let goal = ECCPoint{ curve: base.curve.clone(), x: x, y: y };
|
||||||
|
assert_eq!(res, goal);
|
||||||
|
}
|
||||||
|
}
|
||||||
58
src/ecdsa/mod.rs
Normal file
58
src/ecdsa/mod.rs
Normal file
@@ -0,0 +1,58 @@
|
|||||||
|
mod curves;
|
||||||
|
mod math;
|
||||||
|
mod private;
|
||||||
|
mod public;
|
||||||
|
|
||||||
|
pub use self::private::ECDSAPrivate;
|
||||||
|
pub use self::public::ECDSAPublic;
|
||||||
|
|
||||||
|
use cryptonum::UCN;
|
||||||
|
use rand::{Rng,OsRng};
|
||||||
|
use self::curves::EllipticCurve;
|
||||||
|
use self::math::ECCPoint;
|
||||||
|
|
||||||
|
#[derive(Clone,Debug,PartialEq)]
|
||||||
|
pub struct ECDSAKeyPair {
|
||||||
|
pub private: ECDSAPrivate,
|
||||||
|
pub public: ECDSAPublic
|
||||||
|
}
|
||||||
|
|
||||||
|
impl ECDSAKeyPair {
|
||||||
|
pub fn generate(params: &EllipticCurve)
|
||||||
|
-> ECDSAKeyPair
|
||||||
|
{
|
||||||
|
let mut rng = OsRng::new().unwrap();
|
||||||
|
ECDSAKeyPair::generate_w_rng(&mut rng, params)
|
||||||
|
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn generate_w_rng<G: Rng>(rng: &mut G, params: &EllipticCurve)
|
||||||
|
-> ECDSAKeyPair
|
||||||
|
{
|
||||||
|
let one = UCN::from(1u64);
|
||||||
|
#[allow(non_snake_case)]
|
||||||
|
let N = params.n.bits();
|
||||||
|
let bits_to_generate = N + 64;
|
||||||
|
let bytes_to_generate = (bits_to_generate + 7) / 8;
|
||||||
|
let bits: Vec<u8> = rng.gen_iter().take(bytes_to_generate).collect();
|
||||||
|
let bits_generated = bytes_to_generate * 8;
|
||||||
|
let mut c = UCN::from_bytes(&bits);
|
||||||
|
c >>= bits_generated - bits_to_generate;
|
||||||
|
let nm1 = ¶ms.n - &one;
|
||||||
|
let d = (c % &nm1) + &one;
|
||||||
|
#[allow(non_snake_case)]
|
||||||
|
let Q = ECCPoint::default(params).scale(&d);
|
||||||
|
ECDSAKeyPair {
|
||||||
|
private: ECDSAPrivate {
|
||||||
|
curve: params.clone(),
|
||||||
|
d: d
|
||||||
|
},
|
||||||
|
public: ECDSAPublic {
|
||||||
|
curve: params.clone(),
|
||||||
|
Q: Q
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
91
src/ecdsa/private.rs
Normal file
91
src/ecdsa/private.rs
Normal file
@@ -0,0 +1,91 @@
|
|||||||
|
use cryptonum::{SCN,UCN};
|
||||||
|
use digest::{BlockInput,FixedOutput,Input};
|
||||||
|
use digest::generic_array::ArrayLength;
|
||||||
|
use dsa::rfc6979::{DSASignature,KIterator};
|
||||||
|
use ecdsa::curves::EllipticCurve;
|
||||||
|
use ecdsa::math::{ECCPoint,bits2int};
|
||||||
|
use hmac::Hmac;
|
||||||
|
|
||||||
|
#[derive(Clone,Debug,PartialEq)]
|
||||||
|
pub struct ECDSAPrivate {
|
||||||
|
pub(crate) curve: EllipticCurve,
|
||||||
|
pub(crate) d: UCN
|
||||||
|
}
|
||||||
|
|
||||||
|
impl ECDSAPrivate {
|
||||||
|
pub fn new(c: &EllipticCurve, d: &UCN) -> ECDSAPrivate {
|
||||||
|
ECDSAPrivate {
|
||||||
|
curve: c.clone(),
|
||||||
|
d: d.clone()
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn sign<Hash>(&self, m: &[u8]) -> DSASignature
|
||||||
|
where
|
||||||
|
Hash: Clone + BlockInput + Input + FixedOutput + Default,
|
||||||
|
Hmac<Hash>: Clone,
|
||||||
|
Hash::BlockSize: ArrayLength<u8>
|
||||||
|
{
|
||||||
|
// This algorithm is per RFC 6979, which has a nice, relatively
|
||||||
|
// straightforward description of how to do DSA signing.
|
||||||
|
//
|
||||||
|
// 1. H(m) is transformed into an integer modulo q using the bits2int
|
||||||
|
// transform and an extra modular reduction:
|
||||||
|
//
|
||||||
|
// h = bits2int(H(m)) mod q
|
||||||
|
//
|
||||||
|
// As was noted in the description of bits2octets, the extra
|
||||||
|
// modular reduction is no more than a conditional subtraction.
|
||||||
|
//
|
||||||
|
let mut digest = <Hash>::default();
|
||||||
|
digest.process(m);
|
||||||
|
let n = self.curve.p.bits();
|
||||||
|
let h1: Vec<u8> = digest.fixed_result()
|
||||||
|
.as_slice()
|
||||||
|
.iter()
|
||||||
|
.map(|x| *x)
|
||||||
|
.collect();
|
||||||
|
let h0 = bits2int(&h1, n);
|
||||||
|
let h = h0 % &self.curve.n;
|
||||||
|
|
||||||
|
// 2. A random value modulo q, dubbed k, is generated. That value
|
||||||
|
// shall not be 0; hence, it lies in the [1, q-1] range. Most
|
||||||
|
// of the remainder of this document will revolve around the
|
||||||
|
// process used to generate k. In plain DSA or ECDSA, k should
|
||||||
|
// be selected through a random selection that chooses a value
|
||||||
|
// among the q-1 possible values with uniform probability.
|
||||||
|
for k in KIterator::<Hash>::new(&h1, n, &self.curve.n, &self.curve.b) {
|
||||||
|
// 3. A value r (modulo q) is computed from k and the key
|
||||||
|
// parameters:
|
||||||
|
// * For DSA ...
|
||||||
|
// * For ECDSA: the point kG is computed; its X coordinate (a
|
||||||
|
// member of the field over which E is defined) is converted
|
||||||
|
// to an integer, which is reduced modulo q, yielding r.
|
||||||
|
//
|
||||||
|
// If r turns out to be zero, a new k should be selected and r
|
||||||
|
// computed again (this is an utterly improbable occurrence).
|
||||||
|
let g = ECCPoint::default(&self.curve);
|
||||||
|
let kg = g.scale(&k);
|
||||||
|
let ni = SCN::from(self.curve.n.clone());
|
||||||
|
let r = &kg.x % ∋
|
||||||
|
if r.is_zero() {
|
||||||
|
continue;
|
||||||
|
}
|
||||||
|
// 4. The value s (modulo q) is computed:
|
||||||
|
//
|
||||||
|
// s = (h+x*r)/k mod q
|
||||||
|
//
|
||||||
|
// The pair (r, s) is the signature.
|
||||||
|
let kinv = SCN::from(k.modinv(&ni.value));
|
||||||
|
let s = ((SCN::from(h.clone()) + (&kg.x * &r)) * &kinv) % ∋
|
||||||
|
if s.is_zero() {
|
||||||
|
continue;
|
||||||
|
}
|
||||||
|
|
||||||
|
assert!(!r.is_negative());
|
||||||
|
assert!(!s.is_negative());
|
||||||
|
return DSASignature{ r: r.value, s: s.value };
|
||||||
|
}
|
||||||
|
panic!("The world is broken; couldn't find a k in sign().");
|
||||||
|
}
|
||||||
|
}
|
||||||
11
src/ecdsa/public.rs
Normal file
11
src/ecdsa/public.rs
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
use ecdsa::curves::EllipticCurve;
|
||||||
|
use ecdsa::math::ECCPoint;
|
||||||
|
|
||||||
|
#[allow(non_snake_case)]
|
||||||
|
#[derive(Clone,Debug,PartialEq)]
|
||||||
|
pub struct ECDSAPublic {
|
||||||
|
pub(crate) curve: EllipticCurve,
|
||||||
|
pub(crate) Q: ECCPoint
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
@@ -33,6 +33,10 @@ pub mod rsa;
|
|||||||
/// unless you've got a legacy application or system that you're trying to
|
/// unless you've got a legacy application or system that you're trying to
|
||||||
/// interact with. DSA is almost always the wrong choice.
|
/// interact with. DSA is almost always the wrong choice.
|
||||||
pub mod dsa;
|
pub mod dsa;
|
||||||
|
/// The 'ecdsa' module provides support for ECDSA-related signing and
|
||||||
|
/// verification algorithms, as well as key generation. This and RSA should be
|
||||||
|
/// your go-to choice for asymmetric crypto.
|
||||||
|
pub mod ecdsa;
|
||||||
|
|
||||||
#[cfg(test)]
|
#[cfg(test)]
|
||||||
mod testing;
|
mod testing;
|
||||||
|
|||||||
Reference in New Issue
Block a user