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</pre><pre class="rust"><code><span class="comment">// Copyright 2015-2016 Brian Smith.
//
// Permission to use, copy, modify, and/or distribute this software for any
// purpose with or without fee is hereby granted, provided that the above
// copyright notice and this permission notice appear in all copies.
//
// THE SOFTWARE IS PROVIDED &quot;AS IS&quot; AND THE AUTHORS DISCLAIM ALL WARRANTIES
// WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
// MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY
// SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
// WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION
// OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
// CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
</span><span class="doccomment">//! ECDSA Signatures using the P-256 and P-384 curves.
</span><span class="kw">use </span><span class="kw">super</span>::digest_scalar::digest_scalar;
<span class="kw">use crate</span>::{
arithmetic::montgomery::<span class="kw-2">*</span>,
digest,
ec::suite_b::{ops::<span class="kw-2">*</span>, public_key::<span class="kw-2">*</span>, verify_jacobian_point_is_on_the_curve},
error,
io::der,
limb, sealed, signature,
};
<span class="doccomment">/// An ECDSA verification algorithm.
</span><span class="kw">pub struct </span>EcdsaVerificationAlgorithm {
ops: <span class="kw-2">&amp;</span><span class="lifetime">&#39;static </span>PublicScalarOps,
digest_alg: <span class="kw-2">&amp;</span><span class="lifetime">&#39;static </span>digest::Algorithm,
split_rs:
<span class="kw">for</span>&lt;<span class="lifetime">&#39;a</span>&gt; <span class="kw">fn</span>(
ops: <span class="kw-2">&amp;</span><span class="lifetime">&#39;static </span>ScalarOps,
input: <span class="kw-2">&amp;mut </span>untrusted::Reader&lt;<span class="lifetime">&#39;a</span>&gt;,
)
-&gt; <span class="prelude-ty">Result</span>&lt;(untrusted::Input&lt;<span class="lifetime">&#39;a</span>&gt;, untrusted::Input&lt;<span class="lifetime">&#39;a</span>&gt;), error::Unspecified&gt;,
id: AlgorithmID,
}
<span class="attribute">#[derive(Debug)]
</span><span class="kw">enum </span>AlgorithmID {
ECDSA_P256_SHA256_ASN1,
ECDSA_P256_SHA256_FIXED,
ECDSA_P256_SHA384_ASN1,
ECDSA_P384_SHA256_ASN1,
ECDSA_P384_SHA384_ASN1,
ECDSA_P384_SHA384_FIXED,
}
<span class="macro">derive_debug_via_id!</span>(EcdsaVerificationAlgorithm);
<span class="kw">impl </span>signature::VerificationAlgorithm <span class="kw">for </span>EcdsaVerificationAlgorithm {
<span class="kw">fn </span>verify(
<span class="kw-2">&amp;</span><span class="self">self</span>,
public_key: untrusted::Input,
msg: untrusted::Input,
signature: untrusted::Input,
) -&gt; <span class="prelude-ty">Result</span>&lt;(), error::Unspecified&gt; {
<span class="kw">let </span>e = {
<span class="comment">// NSA Guide Step 2: &quot;Use the selected hash function to compute H =
// Hash(M).&quot;
</span><span class="kw">let </span>h = digest::digest(<span class="self">self</span>.digest_alg, msg.as_slice_less_safe());
<span class="comment">// NSA Guide Step 3: &quot;Convert the bit string H to an integer e as
// described in Appendix B.2.&quot;
</span>digest_scalar(<span class="self">self</span>.ops.scalar_ops, h)
};
<span class="self">self</span>.verify_digest(public_key, e, signature)
}
}
<span class="kw">impl </span>EcdsaVerificationAlgorithm {
<span class="doccomment">/// This is intentionally not public.
</span><span class="kw">fn </span>verify_digest(
<span class="kw-2">&amp;</span><span class="self">self</span>,
public_key: untrusted::Input,
e: Scalar,
signature: untrusted::Input,
) -&gt; <span class="prelude-ty">Result</span>&lt;(), error::Unspecified&gt; {
<span class="comment">// NSA Suite B Implementer&#39;s Guide to ECDSA Section 3.4.2.
</span><span class="kw">let </span>public_key_ops = <span class="self">self</span>.ops.public_key_ops;
<span class="kw">let </span>scalar_ops = <span class="self">self</span>.ops.scalar_ops;
<span class="comment">// NSA Guide Prerequisites:
//
// Prior to accepting a verified digital signature as valid the
// verifier shall have:
//
// 1. assurance of the signatory’s claimed identity,
// 2. an authentic copy of the domain parameters, (q, FR, a, b, SEED,
// G, n, h),
// 3. assurance of the validity of the public key, and
// 4. assurance that the claimed signatory actually possessed the
// private key that was used to generate the digital signature at
// the time that the signature was generated.
//
// Prerequisites #1 and #4 are outside the scope of what this function
// can do. Prerequisite #2 is handled implicitly as the domain
// parameters are hard-coded into the source. Prerequisite #3 is
// handled by `parse_uncompressed_point`.
</span><span class="kw">let </span>peer_pub_key = parse_uncompressed_point(public_key_ops, public_key)<span class="question-mark">?</span>;
<span class="kw">let </span>(r, s) = signature.read_all(error::Unspecified, |input| {
(<span class="self">self</span>.split_rs)(scalar_ops, input)
})<span class="question-mark">?</span>;
<span class="comment">// NSA Guide Step 1: &quot;If r and s are not both integers in the interval
// [1, n − 1], output INVALID.&quot;
</span><span class="kw">let </span>r = scalar_parse_big_endian_variable(public_key_ops.common, limb::AllowZero::No, r)<span class="question-mark">?</span>;
<span class="kw">let </span>s = scalar_parse_big_endian_variable(public_key_ops.common, limb::AllowZero::No, s)<span class="question-mark">?</span>;
<span class="comment">// NSA Guide Step 4: &quot;Compute w = s**−1 mod n, using the routine in
// Appendix B.1.&quot;
</span><span class="kw">let </span>w = scalar_ops.scalar_inv_to_mont(<span class="kw-2">&amp;</span>s);
<span class="comment">// NSA Guide Step 5: &quot;Compute u1 = (e * w) mod n, and compute
// u2 = (r * w) mod n.&quot;
</span><span class="kw">let </span>u1 = scalar_ops.scalar_product(<span class="kw-2">&amp;</span>e, <span class="kw-2">&amp;</span>w);
<span class="kw">let </span>u2 = scalar_ops.scalar_product(<span class="kw-2">&amp;</span>r, <span class="kw-2">&amp;</span>w);
<span class="comment">// NSA Guide Step 6: &quot;Compute the elliptic curve point
// R = (xR, yR) = u1*G + u2*Q, using EC scalar multiplication and EC
// addition. If R is equal to the point at infinity, output INVALID.&quot;
</span><span class="kw">let </span>product = twin_mul(<span class="self">self</span>.ops.private_key_ops, <span class="kw-2">&amp;</span>u1, <span class="kw-2">&amp;</span>u2, <span class="kw-2">&amp;</span>peer_pub_key);
<span class="comment">// Verify that the point we computed is on the curve; see
// `verify_affine_point_is_on_the_curve_scaled` for details on why. It
// would be more secure to do the check on the affine coordinates if we
// were going to convert to affine form (again, see
// `verify_affine_point_is_on_the_curve_scaled` for details on why).
// But, we&#39;re going to avoid converting to affine for performance
// reasons, so we do the verification using the Jacobian coordinates.
</span><span class="kw">let </span>z2 = verify_jacobian_point_is_on_the_curve(public_key_ops.common, <span class="kw-2">&amp;</span>product)<span class="question-mark">?</span>;
<span class="comment">// NSA Guide Step 7: &quot;Compute v = xR mod n.&quot;
// NSA Guide Step 8: &quot;Compare v and r0. If v = r0, output VALID;
// otherwise, output INVALID.&quot;
//
// Instead, we use Greg Maxwell&#39;s trick to avoid the inversion mod `q`
// that would be necessary to compute the affine X coordinate.
</span><span class="kw">let </span>x = public_key_ops.common.point_x(<span class="kw-2">&amp;</span>product);
<span class="kw">fn </span>sig_r_equals_x(
ops: <span class="kw-2">&amp;</span>PublicScalarOps,
r: <span class="kw-2">&amp;</span>Elem&lt;Unencoded&gt;,
x: <span class="kw-2">&amp;</span>Elem&lt;R&gt;,
z2: <span class="kw-2">&amp;</span>Elem&lt;R&gt;,
) -&gt; bool {
<span class="kw">let </span>cops = ops.public_key_ops.common;
<span class="kw">let </span>r_jacobian = cops.elem_product(z2, r);
<span class="kw">let </span>x = cops.elem_unencoded(x);
ops.elem_equals(<span class="kw-2">&amp;</span>r_jacobian, <span class="kw-2">&amp;</span>x)
}
<span class="kw">let </span>r = <span class="self">self</span>.ops.scalar_as_elem(<span class="kw-2">&amp;</span>r);
<span class="kw">if </span>sig_r_equals_x(<span class="self">self</span>.ops, <span class="kw-2">&amp;</span>r, <span class="kw-2">&amp;</span>x, <span class="kw-2">&amp;</span>z2) {
<span class="kw">return </span><span class="prelude-val">Ok</span>(());
}
<span class="kw">if </span><span class="self">self</span>.ops.elem_less_than(<span class="kw-2">&amp;</span>r, <span class="kw-2">&amp;</span><span class="self">self</span>.ops.q_minus_n) {
<span class="kw">let </span>r_plus_n = <span class="self">self</span>.ops.elem_sum(<span class="kw-2">&amp;</span>r, <span class="kw-2">&amp;</span>public_key_ops.common.n);
<span class="kw">if </span>sig_r_equals_x(<span class="self">self</span>.ops, <span class="kw-2">&amp;</span>r_plus_n, <span class="kw-2">&amp;</span>x, <span class="kw-2">&amp;</span>z2) {
<span class="kw">return </span><span class="prelude-val">Ok</span>(());
}
}
<span class="prelude-val">Err</span>(error::Unspecified)
}
}
<span class="kw">impl </span>sealed::Sealed <span class="kw">for </span>EcdsaVerificationAlgorithm {}
<span class="kw">fn </span>split_rs_fixed&lt;<span class="lifetime">&#39;a</span>&gt;(
ops: <span class="kw-2">&amp;</span><span class="lifetime">&#39;static </span>ScalarOps,
input: <span class="kw-2">&amp;mut </span>untrusted::Reader&lt;<span class="lifetime">&#39;a</span>&gt;,
) -&gt; <span class="prelude-ty">Result</span>&lt;(untrusted::Input&lt;<span class="lifetime">&#39;a</span>&gt;, untrusted::Input&lt;<span class="lifetime">&#39;a</span>&gt;), error::Unspecified&gt; {
<span class="kw">let </span>scalar_len = ops.scalar_bytes_len();
<span class="kw">let </span>r = input.read_bytes(scalar_len)<span class="question-mark">?</span>;
<span class="kw">let </span>s = input.read_bytes(scalar_len)<span class="question-mark">?</span>;
<span class="prelude-val">Ok</span>((r, s))
}
<span class="kw">fn </span>split_rs_asn1&lt;<span class="lifetime">&#39;a</span>&gt;(
_ops: <span class="kw-2">&amp;</span><span class="lifetime">&#39;static </span>ScalarOps,
input: <span class="kw-2">&amp;mut </span>untrusted::Reader&lt;<span class="lifetime">&#39;a</span>&gt;,
) -&gt; <span class="prelude-ty">Result</span>&lt;(untrusted::Input&lt;<span class="lifetime">&#39;a</span>&gt;, untrusted::Input&lt;<span class="lifetime">&#39;a</span>&gt;), error::Unspecified&gt; {
der::nested(input, der::Tag::Sequence, error::Unspecified, |input| {
<span class="kw">let </span>r = der::positive_integer(input)<span class="question-mark">?</span>.big_endian_without_leading_zero_as_input();
<span class="kw">let </span>s = der::positive_integer(input)<span class="question-mark">?</span>.big_endian_without_leading_zero_as_input();
<span class="prelude-val">Ok</span>((r, s))
})
}
<span class="kw">fn </span>twin_mul(
ops: <span class="kw-2">&amp;</span>PrivateKeyOps,
g_scalar: <span class="kw-2">&amp;</span>Scalar,
p_scalar: <span class="kw-2">&amp;</span>Scalar,
p_xy: <span class="kw-2">&amp;</span>(Elem&lt;R&gt;, Elem&lt;R&gt;),
) -&gt; Point {
<span class="comment">// XXX: Inefficient. TODO: implement interleaved wNAF multiplication.
</span><span class="kw">let </span>scaled_g = ops.point_mul_base(g_scalar);
<span class="kw">let </span>scaled_p = ops.point_mul(p_scalar, p_xy);
ops.common.point_sum(<span class="kw-2">&amp;</span>scaled_g, <span class="kw-2">&amp;</span>scaled_p)
}
<span class="doccomment">/// Verification of fixed-length (PKCS#11 style) ECDSA signatures using the
/// P-256 curve and SHA-256.
///
/// See &quot;`ECDSA_*_FIXED` Details&quot; in `ring::signature`&#39;s module-level
/// documentation for more details.
</span><span class="kw">pub static </span>ECDSA_P256_SHA256_FIXED: EcdsaVerificationAlgorithm = EcdsaVerificationAlgorithm {
ops: <span class="kw-2">&amp;</span>p256::PUBLIC_SCALAR_OPS,
digest_alg: <span class="kw-2">&amp;</span>digest::SHA256,
split_rs: split_rs_fixed,
id: AlgorithmID::ECDSA_P256_SHA256_FIXED,
};
<span class="doccomment">/// Verification of fixed-length (PKCS#11 style) ECDSA signatures using the
/// P-384 curve and SHA-384.
///
/// See &quot;`ECDSA_*_FIXED` Details&quot; in `ring::signature`&#39;s module-level
/// documentation for more details.
</span><span class="kw">pub static </span>ECDSA_P384_SHA384_FIXED: EcdsaVerificationAlgorithm = EcdsaVerificationAlgorithm {
ops: <span class="kw-2">&amp;</span>p384::PUBLIC_SCALAR_OPS,
digest_alg: <span class="kw-2">&amp;</span>digest::SHA384,
split_rs: split_rs_fixed,
id: AlgorithmID::ECDSA_P384_SHA384_FIXED,
};
<span class="doccomment">/// Verification of ASN.1 DER-encoded ECDSA signatures using the P-256 curve
/// and SHA-256.
///
/// See &quot;`ECDSA_*_ASN1` Details&quot; in `ring::signature`&#39;s module-level
/// documentation for more details.
</span><span class="kw">pub static </span>ECDSA_P256_SHA256_ASN1: EcdsaVerificationAlgorithm = EcdsaVerificationAlgorithm {
ops: <span class="kw-2">&amp;</span>p256::PUBLIC_SCALAR_OPS,
digest_alg: <span class="kw-2">&amp;</span>digest::SHA256,
split_rs: split_rs_asn1,
id: AlgorithmID::ECDSA_P256_SHA256_ASN1,
};
<span class="doccomment">/// *Not recommended*. Verification of ASN.1 DER-encoded ECDSA signatures using
/// the P-256 curve and SHA-384.
///
/// In most situations, P-256 should be used only with SHA-256 and P-384
/// should be used only with SHA-384. However, in some cases, particularly TLS
/// on the web, it is necessary to support P-256 with SHA-384 for compatibility
/// with widely-deployed implementations that do not follow these guidelines.
///
/// See &quot;`ECDSA_*_ASN1` Details&quot; in `ring::signature`&#39;s module-level
/// documentation for more details.
</span><span class="kw">pub static </span>ECDSA_P256_SHA384_ASN1: EcdsaVerificationAlgorithm = EcdsaVerificationAlgorithm {
ops: <span class="kw-2">&amp;</span>p256::PUBLIC_SCALAR_OPS,
digest_alg: <span class="kw-2">&amp;</span>digest::SHA384,
split_rs: split_rs_asn1,
id: AlgorithmID::ECDSA_P256_SHA384_ASN1,
};
<span class="doccomment">/// *Not recommended*. Verification of ASN.1 DER-encoded ECDSA signatures using
/// the P-384 curve and SHA-256.
///
/// In most situations, P-256 should be used only with SHA-256 and P-384
/// should be used only with SHA-384. However, in some cases, particularly TLS
/// on the web, it is necessary to support P-256 with SHA-384 for compatibility
/// with widely-deployed implementations that do not follow these guidelines.
///
/// See &quot;`ECDSA_*_ASN1` Details&quot; in `ring::signature`&#39;s module-level
/// documentation for more details.
</span><span class="kw">pub static </span>ECDSA_P384_SHA256_ASN1: EcdsaVerificationAlgorithm = EcdsaVerificationAlgorithm {
ops: <span class="kw-2">&amp;</span>p384::PUBLIC_SCALAR_OPS,
digest_alg: <span class="kw-2">&amp;</span>digest::SHA256,
split_rs: split_rs_asn1,
id: AlgorithmID::ECDSA_P384_SHA256_ASN1,
};
<span class="doccomment">/// Verification of ASN.1 DER-encoded ECDSA signatures using the P-384 curve
/// and SHA-384.
///
/// See &quot;`ECDSA_*_ASN1` Details&quot; in `ring::signature`&#39;s module-level
/// documentation for more details.
</span><span class="kw">pub static </span>ECDSA_P384_SHA384_ASN1: EcdsaVerificationAlgorithm = EcdsaVerificationAlgorithm {
ops: <span class="kw-2">&amp;</span>p384::PUBLIC_SCALAR_OPS,
digest_alg: <span class="kw-2">&amp;</span>digest::SHA384,
split_rs: split_rs_asn1,
id: AlgorithmID::ECDSA_P384_SHA384_ASN1,
};
<span class="attribute">#[cfg(test)]
</span><span class="kw">mod </span>tests {
<span class="kw">use super</span>::<span class="kw-2">*</span>;
<span class="kw">use </span><span class="kw">crate</span>::test;
<span class="kw">use </span>alloc::vec::Vec;
<span class="attribute">#[test]
</span><span class="kw">fn </span>test_digest_based_test_vectors() {
test::run(
<span class="macro">test_file!</span>(<span class="string">&quot;../../../../crypto/fipsmodule/ecdsa/ecdsa_verify_tests.txt&quot;</span>),
|section, test_case| {
<span class="macro">assert_eq!</span>(section, <span class="string">&quot;&quot;</span>);
<span class="kw">let </span>curve_name = test_case.consume_string(<span class="string">&quot;Curve&quot;</span>);
<span class="kw">let </span>public_key = {
<span class="kw">let </span><span class="kw-2">mut </span>public_key = Vec::new();
public_key.push(<span class="number">0x04</span>);
public_key.extend(<span class="kw-2">&amp;</span>test_case.consume_bytes(<span class="string">&quot;X&quot;</span>));
public_key.extend(<span class="kw-2">&amp;</span>test_case.consume_bytes(<span class="string">&quot;Y&quot;</span>));
public_key
};
<span class="kw">let </span>digest = test_case.consume_bytes(<span class="string">&quot;Digest&quot;</span>);
<span class="kw">let </span>sig = {
<span class="kw">let </span><span class="kw-2">mut </span>sig = Vec::new();
sig.extend(<span class="kw-2">&amp;</span>test_case.consume_bytes(<span class="string">&quot;R&quot;</span>));
sig.extend(<span class="kw-2">&amp;</span>test_case.consume_bytes(<span class="string">&quot;S&quot;</span>));
sig
};
<span class="kw">let </span>invalid = test_case.consume_optional_string(<span class="string">&quot;Invalid&quot;</span>);
<span class="kw">let </span>alg = <span class="kw">match </span>curve_name.as_str() {
<span class="string">&quot;P-256&quot; </span>=&gt; <span class="kw-2">&amp;</span>ECDSA_P256_SHA256_FIXED,
<span class="string">&quot;P-384&quot; </span>=&gt; <span class="kw-2">&amp;</span>ECDSA_P384_SHA384_FIXED,
<span class="kw">_ </span>=&gt; {
<span class="macro">panic!</span>(<span class="string">&quot;Unsupported curve: {}&quot;</span>, curve_name);
}
};
<span class="kw">let </span>digest = <span class="kw">super</span>::<span class="kw">super</span>::digest_scalar::digest_bytes_scalar(
<span class="kw-2">&amp;</span>alg.ops.scalar_ops,
<span class="kw-2">&amp;</span>digest[..],
);
<span class="kw">let </span>actual_result = alg.verify_digest(
untrusted::Input::from(<span class="kw-2">&amp;</span>public_key[..]),
digest,
untrusted::Input::from(<span class="kw-2">&amp;</span>sig[..]),
);
<span class="macro">assert_eq!</span>(actual_result.is_ok(), invalid.is_none());
<span class="prelude-val">Ok</span>(())
},
);
}
}
</code></pre></div>
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