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56 changes: 12 additions & 44 deletions core/ed25519_verify.c
Original file line number Diff line number Diff line change
Expand Up @@ -289,6 +289,16 @@ static int point_is_identity(gf p[4])
return diff == 0;
}

static void scalarbase(gf r[4], const uint8_t *s)
{
gf q[4];
fe_copy16(q[0], BX);
fe_copy16(q[1], BY);
fe_copy16(q[2], gf1);
fe_mul(q[3], BX, BY);
scalarmult(r, q, s);
}

/* Reject a public key outside the prime-order subgroup.
*
* Decoding a point is not enough. Ed25519 has eight points of low order, and
Expand All @@ -304,51 +314,9 @@ static int point_is_identity(gf p[4])
* so there is no separate constant to transcribe wrongly: a mistyped L would
* reject valid keys, and only in the field.
*
* A arrives negated from unpackneg(). [L](-A) = -[L]A and the identity is its
* own negation, so neither condition is affected by the sign.
*
* Formulation taken from eBoot#57 by @muhammadburhandevv-hub, which reached
* this before I did and states both conditions in one expression.
* The key arrives negated from unpackneg(). [L](-A) = -[L]A and the identity
* is its own negation, so neither condition is affected by the sign.
*/
static int key_has_prime_order(gf A[4])
{
uint8_t order_l[32];
gf q[4], multiple[4];
int i;

for (i = 0; i < 32; i++)
order_l[i] = (uint8_t)ORDER_L[i];
for (i = 0; i < 4; i++)
fe_copy16(q[i], A[i]);

scalarmult(multiple, q, order_l);
return point_is_identity(multiple) && !point_is_identity(A);
}

static void scalarbase(gf r[4], const uint8_t *s)
{
gf q[4];
fe_copy16(q[0], BX);
fe_copy16(q[1], BY);
fe_copy16(q[2], gf1);
fe_mul(q[3], BX, BY);
scalarmult(r, q, s);
}

static int point_is_identity(gf p[4])
{
uint8_t encoded[32];
point_pack(encoded, p);

uint8_t diff = (uint8_t)(encoded[0] ^ 1U);
for (int i = 1; i < 32; i++)
diff |= encoded[i];
return diff == 0;
}

/* Public keys must be non-identity points in Ed25519's prime-order subgroup.
* Merely decoding a point is insufficient: an identity or torsion key can
* make the verification equation true without knowledge of a private key. */
static int public_key_is_valid_subgroup(gf public_key[4])
{
uint8_t order_l[32];
Expand Down
16 changes: 10 additions & 6 deletions include/eos_image.h
Original file line number Diff line number Diff line change
Expand Up @@ -108,7 +108,8 @@ EOS_IMG_STATIC_ASSERT(offsetof(eos_image_header_t, tlv_hash) +

/* Every remaining field, pinned.
*
* Four of the fourteen fields were asserted. Transposing two adjacent
* Three of the thirteen field offsets were asserted (the fourth pre-existing
* assert is sizeof, which is not a field). Transposing two adjacent
* same-width fields moves neither sizeof nor any of those four offsets, so it
* compiled clean: with load_addr and entry_addr swapped, all four existing
* asserts still passed and the bootloader would load an image at its entry
Expand All @@ -132,15 +133,18 @@ EOS_IMG_STATIC_ASSERT(offsetof(eos_image_header_t, flags) == 24,
"flags must stay at offset 24");
EOS_IMG_STATIC_ASSERT(offsetof(eos_image_header_t, sig_len) == 61,
"sig_len must stay at offset 61");
EOS_IMG_STATIC_ASSERT(offsetof(eos_image_header_t, reserved) == 62,
"reserved[] must stay at offset 62");
/* tlv_len and tlv_hash are asserted above, where #93 introduced them; the
* 30 bytes they occupy are the ones this block used to pin as reserved[]. */

/* Field widths. An offset assert cannot see a field growing into padding that
* happens to keep every later offset -- reserved[] absorbs exactly that. */
* happens to keep every later offset -- the 30 bytes at 62 absorb exactly
* that, which is why both halves of that span carry a width assert. */
EOS_IMG_STATIC_ASSERT(sizeof(((eos_image_header_t *)0)->hash) == 32,
"hash[] is 32 bytes on the wire");
EOS_IMG_STATIC_ASSERT(sizeof(((eos_image_header_t *)0)->reserved) == 30,
"reserved[] is 30 bytes on the wire");
EOS_IMG_STATIC_ASSERT(sizeof(((eos_image_header_t *)0)->tlv_len) == 2,
"tlv_len is 2 bytes on the wire");
EOS_IMG_STATIC_ASSERT(sizeof(((eos_image_header_t *)0)->tlv_hash) == 28,
"tlv_hash is 28 bytes on the wire");
EOS_IMG_STATIC_ASSERT(sizeof(((eos_image_header_t *)0)->signature) == 64,
"signature[] is 64 bytes on the wire");

Expand Down
21 changes: 20 additions & 1 deletion tests/CMakeLists.txt
Original file line number Diff line number Diff line change
Expand Up @@ -85,6 +85,25 @@ add_executable(eboot_test_ed25519 unit/test_ed25519.c)
target_link_libraries(eboot_test_ed25519 PRIVATE eboot_core)
add_test(NAME test_ed25519 COMMAND eboot_test_ed25519)

# --- test_ed25519_contract: the corpus shared byte-for-byte with eos ---
# tests/vectors/ed25519_contract_vectors.h is committed, not generated at
# build time. What the TCB's signature verifier was tested against belongs in
# the repository and in the release artifact: from a tag you should be able to
# see which 76 vectors ran. Generating it also made Python 3 a hard
# configure-time dependency of an otherwise pure-C test suite, which cost
# minimal cross-build images the ability to configure at all.
#
# The reason it was generated -- that two repos would hold the same file and
# have to keep it in step by hand -- is answered by the digest pinned in
# test_ed25519_contract.c instead: neither copy can change without failing.
# tools/gen_ed25519_contract_vectors.py stays as the way the file is
# reproduced and reviewed.
add_executable(eboot_test_ed25519_contract unit/test_ed25519_contract.c)
target_link_libraries(eboot_test_ed25519_contract PRIVATE eboot_core)
target_include_directories(eboot_test_ed25519_contract PRIVATE
${CMAKE_CURRENT_SOURCE_DIR})
add_test(NAME test_ed25519_contract COMMAND eboot_test_ed25519_contract)

# --- test_keystore: Key management ---
add_executable(eboot_test_keystore unit/test_keystore.c)
target_link_libraries(eboot_test_keystore PRIVATE eboot_core)
Expand Down Expand Up @@ -114,7 +133,7 @@ add_test(NAME test_ecc COMMAND eboot_test_ecc)
find_program(VALGRIND valgrind)
if(VALGRIND)
set(VALGRIND_OPTS --leak-check=full --error-exitcode=1 --quiet)
foreach(TEST_NAME test_bootctl test_crypto test_ed25519 test_keystore
foreach(TEST_NAME test_bootctl test_crypto test_ed25519 test_ed25519_contract test_keystore
test_device_table test_runtime_svc test_board_config
test_multicore test_board_registry test_slot_manager
test_boot_log test_image_verify test_image_abi
Expand Down
126 changes: 94 additions & 32 deletions tests/unit/test_ed25519.c
Original file line number Diff line number Diff line change
Expand Up @@ -30,6 +30,7 @@ static int tests_passed = 0;
static void name(void); \
static void run_##name(void) { \
printf(" %-50s ", #name); \
tests_run++; \
name(); \
tests_passed++; \
printf("[PASS]\n"); \
Expand Down Expand Up @@ -211,29 +212,105 @@ TEST(test_ed25519_identity_key_forgery_rejected)
msg, sizeof(msg) - 1) != EOS_OK);
}

/* The eight canonical low-order point encodings.
*
* Every order was computed rather than copied: decoding each y, recovering x,
* and repeatedly adding the point until it reached the identity gives
* 1, 2, 4, 4, 8, 8, 8, 8 for the entries below in order. An earlier revision
* of this array held only five of them -- it omitted y=0 with the sign bit
* set and both sign-flipped order-8 encodings -- while its comment claimed to
* hold "the eight". [L](-A) = -[L]A, so the guard rejects a sign variant
* whether or not it is listed; the reason to list them is that this is the
* regression record for a secure-boot bypass, and a claimed class has to be
* the class it claims. */
static const uint8_t k_low_order[8][32] = {
/* order 1: the identity, y = 1 */
{0x01},
/* order 2: y = -1 */
{0xEC,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,0x7F},
/* order 4: y = 0, sign bit clear */
{0x00},
/* order 4: y = 0, sign bit set -- the encoding the earlier array missed */
{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x80},
/* order 8 */
{0x26,0xE8,0x95,0x8F,0xC2,0xB2,0x27,0xB0,0x45,0xC3,0xF4,0x89,0xF2,0xEF,0x98,0xF0,
0xD5,0xDF,0xAC,0x05,0xD3,0xC6,0x33,0x39,0xB1,0x38,0x02,0x88,0x6D,0x53,0xFC,0x05},
/* order 8 */
{0xC7,0x17,0x6A,0x70,0x3D,0x4D,0xD8,0x4F,0xBA,0x3C,0x0B,0x76,0x0D,0x10,0x67,0x0F,
0x2A,0x20,0x53,0xFA,0x2C,0x39,0xCC,0xC6,0x4E,0xC7,0xFD,0x77,0x92,0xAC,0x03,0x7A},
/* order 8: sign flip of the first order-8 entry -- also missing before */
{0x26,0xE8,0x95,0x8F,0xC2,0xB2,0x27,0xB0,0x45,0xC3,0xF4,0x89,0xF2,0xEF,0x98,0xF0,
0xD5,0xDF,0xAC,0x05,0xD3,0xC6,0x33,0x39,0xB1,0x38,0x02,0x88,0x6D,0x53,0xFC,0x85},
/* order 8: sign flip of the second -- also missing before */
{0xC7,0x17,0x6A,0x70,0x3D,0x4D,0xD8,0x4F,0xBA,0x3C,0x0B,0x76,0x0D,0x10,0x67,0x0F,
0x2A,0x20,0x53,0xFA,0x2C,0x39,0xCC,0xC6,0x4E,0xC7,0xFD,0x77,0x92,0xAC,0x03,0xFA},
};

/* Not low-order points, and refused earlier and by a different mechanism:
* unpackneg() rejects them on canonicality or because no x exists. Kept
* separate so the array above means what its name says -- an earlier revision
* spent one of its eight slots on D9FF..FF, which does not decode at all. */
static const uint8_t k_non_canonical[3][32] = {
/* y = p: reduces to 0, decodes as an order-4 point but is not canonical */
{0xED,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,0x7F},
/* y = p + 1: reduces to the identity, likewise not canonical */
{0xEE,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,0x7F},
/* no x satisfies the curve equation for this y: unpackneg() fails */
{0xD9,0xFF,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},
};

/* A low-order key forges for roughly one message in n, where n is its order,
* so a single fixed message would let a real bypass pass this suite. */
static const char *const messages[] = {
"untrusted firmware", "v1.0.0", "", "a", "boot", "eos", "1234", "payload",
};

TEST(test_ed25519_low_order_keys_rejected)
{
/* zero_pubkey covers one encoding; Ed25519 has eight low-order points and
* the family is what matters. A subgroup test alone is not enough either:
* the identity has order 1, which divides L, so [L]identity = identity and
* it passes. Both checks are required. */
static const uint8_t low_order[4][32] = {
{0},
{1},
{0x26,0xe8,0x95,0x8f,0xc2,0xb2,0x27,0xb0,0x45,0xc3,0xf4,0x89,0xf2,0xef,0x98,0xf0,
0xd5,0xdf,0xac,0x05,0xd3,0xc6,0x33,0x39,0xb1,0x38,0x02,0x88,0x6d,0x53,0xfc,0x05},
{0xc7,0x17,0x6a,0x70,0x3d,0x4d,0xd8,0x4f,0xba,0x3c,0x0b,0x76,0x0d,0x10,0x67,0x0f,
0x2a,0x20,0x53,0xfa,0x2c,0x39,0xcc,0xc6,0x4e,0xc7,0xfd,0x77,0x92,0xac,0x03,0x7a},
};
const uint8_t msg[] = "untrusted firmware";
* it passes. Both checks are required.
*
* The sweep is every low-order encoding as the key against every one as R,
* over eight messages, because a low-order key of order n forges for
* roughly one message in n -- a single fixed message would let a genuine
* bypass through this test. Measured against 13a7a02, the last commit
* before the subgroup check: 16 of the 64 (key, R) pairs were accepted by
* at least one message. Here: none. */
for (size_t k = 0; k < sizeof(k_low_order) / sizeof(k_low_order[0]); k++) {
for (size_t r = 0; r < sizeof(k_low_order) / sizeof(k_low_order[0]); r++) {
for (size_t m = 0; m < sizeof(messages) / sizeof(messages[0]); m++) {
uint8_t sig[64];
memset(sig, 0, sizeof(sig));
memcpy(sig, k_low_order[r], 32);
ASSERT(eos_ed25519_verify(sig, k_low_order[k],
(const uint8_t *)messages[m],
strlen(messages[m])) != EOS_OK);
}
}
}
}

for (int k = 0; k < 4; k++) {
for (int r = 0; r < 4; r++) {
TEST(test_ed25519_non_canonical_encodings_rejected)
{
/* These are refused before the subgroup check ever runs -- unpackneg()
* rejects them on canonicality, or because no x satisfies the curve
* equation. Pinned separately so that nobody deletes that path on the
* grounds that the subgroup test now covers it. It does not. */
for (size_t k = 0; k < sizeof(k_non_canonical) / sizeof(k_non_canonical[0]); k++) {
for (size_t m = 0; m < sizeof(messages) / sizeof(messages[0]); m++) {
uint8_t sig[64];
memset(sig, 0, sizeof(sig));
memcpy(sig, low_order[r], 32);
ASSERT(eos_ed25519_verify(sig, low_order[k],
msg, sizeof(msg) - 1) != EOS_OK);
memcpy(sig, k_non_canonical[k], 32);
ASSERT(eos_ed25519_verify(sig, k_non_canonical[k],
(const uint8_t *)messages[m],
strlen(messages[m])) != EOS_OK);
}
}
}
Expand All @@ -260,21 +337,6 @@ TEST(test_ed25519_zero_signature_rejected)
ASSERT(eos_ed25519_verify(sig, pk, msg, 1) != EOS_OK);
}

TEST(test_ed25519_identity_key_forgery_rejected)
{
/* The identity point has compressed encoding 01 00...00. With both the
* public key and R set to the identity and S set to zero, the verification
* equation is true for every message unless low-order keys are rejected. */
uint8_t identity_pub[32] = {1};
uint8_t identity_sig[64] = {1};
const uint8_t msg[] = "untrusted firmware";

ASSERT(eos_ed25519_verify(identity_sig, identity_pub,
msg, sizeof(msg) - 1) != EOS_OK);
}

/* ---- SHA-512, the hash Ed25519 is defined over (FIPS 180-4) ---- */

TEST(test_ed25519_low_order_R_with_a_valid_key_is_not_a_forgery)
{
/* The subgroup check guards the public key, not R, and that is
Expand Down Expand Up @@ -367,13 +429,13 @@ int main(void)
run_test_ed25519_null_args();
run_test_ed25519_identity_key_forgery_rejected();
run_test_ed25519_low_order_keys_rejected();
run_test_ed25519_non_canonical_encodings_rejected();
run_test_ed25519_low_order_R_with_a_valid_key_is_not_a_forgery();
run_test_ed25519_zero_pubkey_rejected();
run_test_ed25519_zero_signature_rejected();
run_test_ed25519_identity_key_forgery_rejected();
run_test_sha512_known_answers();
run_test_sha512_streaming_matches_one_shot();

tests_run = 11;
printf("\n%d/%d tests passed\n", tests_passed, tests_run);
return (tests_passed == tests_run) ? 0 : 1;
}
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