// SPDX-License-Identifier: (GPL-2.0+ OR MIT) /* * Copyright (c) 2019 Amlogic, Inc. All rights reserved. */ #include #include #include /** * a[] -= mod */ static void sub_mod(const struct rsa_public_key *key, u32 *a) { s64 A = 0; u32 i; for (i = 0; i < key->len; ++i) { A += (u64)a[i] - key->n[i]; a[i] = (u32)A; A >>= 32; } } /** * Return a[] >= mod */ static int ge_mod(const struct rsa_public_key *key, const u32 *a) { u32 i; for (i = key->len; i;) { --i; if (a[i] < key->n[i]) return 0; if (a[i] > key->n[i]) return 1; } return 1; /* equal */ } /** * Montgomery c[] += a * b[] / R % mod */ static void mont_mul_add(const struct rsa_public_key *key, u32 *c, const u32 a, const u32 *b) { u64 A = (u64)a * b[0] + c[0]; u32 d0 = (u32)A * key->n0inv; u64 B = (u64)d0 * key->n[0] + (u32)A; u32 i; for (i = 1; i < key->len; ++i) { A = (A >> 32) + (u64)a * b[i] + c[i]; B = (B >> 32) + (u64)d0 * key->n[i] + (u32)A; c[i - 1] = (u32)B; } A = (A >> 32) + (B >> 32); c[i - 1] = (u32)A; if (A >> 32) sub_mod(key, c); } /** * Montgomery c[] = a[] * b[] / R % mod */ static void mont_mul(const struct rsa_public_key *key, u32 *c, const u32 *a, const u32 *b) { u32 i; for (i = 0; i < key->len; ++i) c[i] = 0; for (i = 0; i < key->len; ++i) mont_mul_add(key, c, a[i], b); } /** * In-place public exponentiation. * * @param key Key to use in signing * @param inout Input and output big-endian byte array * @param workbuf32 Work buffer; caller must verify this is * 4 x RSANUMWORDS elements long. */ static void mod_pow_F4(const struct rsa_public_key *key, u8 *inout, u32 *workbuf32) { u32 *a = workbuf32; u32 *aa = a + key->len; u32 *aaa = aa + key->len; u32 *m_r, *a_r, *aa_r; s32 i, len = 0; /* Convert from big endian byte array to little endian word array. */ for (i = 0; i < key->len; ++i) { u32 tmp = (inout[((key->len - 1 - i) * 4) + 0] << 24) | (inout[((key->len - 1 - i) * 4) + 1] << 16) | (inout[((key->len - 1 - i) * 4) + 2] << 8) | (inout[((key->len - 1 - i) * 4) + 3] << 0); a[i] = tmp; } /* Count length of exponent */ i = key->e; while (i > 0) { len++; i >>= 1; } /* Setup a_r and aa_r for first mont_mul operation */ m_r = aaa; a_r = m_r; aa_r = aa; mont_mul(key, m_r, a, key->rr); /* m_r = a * RR / R mod M */ for (i = len - 2; i >= 0; i--) { mont_mul(key, aa_r, a_r, a_r); /* aa_r = a_r * a_r / R mod M */ /* Only happens in first loop where a_r still points to m_r */ if (a_r == m_r) a_r = a; if (key->e & (1 << i)) { mont_mul(key, a_r, aa_r, m_r); } else { /* Swap aa_r and a_r to avoid memcpy */ aaa = a_r; a_r = aa_r; aa_r = aaa; } } /* Convert n-residue a_r to ordinary residue */ memset(m_r, 0, key->len * 4); m_r[0] = 0x1; mont_mul(key, aa_r, a_r, m_r); /* aa_r = a_r * 1 / R mod M */ aaa = aa_r; /* Make sure aaa < mod; aaa is at most 1x mod too large. */ while (ge_mod(key, aaa)) sub_mod(key, aaa); /* Convert to bigendian byte array */ for (i = key->len - 1; i >= 0; --i) { u32 tmp = aaa[i]; *inout++ = (u8)(tmp >> 24); *inout++ = (u8)(tmp >> 16); *inout++ = (u8)(tmp >> 8); *inout++ = (u8)(tmp >> 0); } } /* * PKCS#1 padding (from the RSA PKCS#1 v2.1 standard) * * The DER-encoded padding is defined as follows : * 0x00 || 0x01 || PS || 0x00 || T * * T: DER Encoded DigestInfo value which depends on the hash function used, * for SHA-256: * (0x)30 31 30 0d 06 09 60 86 48 01 65 03 04 02 01 05 00 04 20 || H. * * Length(T) = 51 octets for SHA-256 * * PS: octet string consisting of {Length(RSA Key) - Length(T) - 3} 0xFF */ static const u8 sha256_tail[] = { 0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20 }; //#define PKCS_PAD_SIZE (RSANUMBYTES - SHA256_DIGEST_SIZE) /** * Check PKCS#1 padding bytes * * @param sig Signature to verify * @param pkcs_pad_size Length of padding * @return 0 if the padding is correct. */ static int check_padding(const u8 *sig, u32 pkcs_pad_size) { u8 *ptr = (u8 *)sig; int result = 0; int i; /* First 2 bytes are always 0x00 0x01 */ result |= *ptr++ ^ 0x00; result |= *ptr++ ^ 0x01; /* Then 0xff bytes until the tail */ for (i = 0; i < pkcs_pad_size - sizeof(sha256_tail) - 2; i++) result |= *ptr++ ^ 0xff; /* Check the tail. */ result |= memcmp(ptr, sha256_tail, sizeof(sha256_tail)); return !!result; } /* * Verify a SHA256WithRSA PKCS#1 v1.5 signature against an expected * SHA256 hash. * * @param key RSA public key * @param signature RSA signature * @param sha SHA-256 digest of the content to verify * @param workbuf32 Work buffer; caller must verify this is * 3 x RSANUMWORDS elements long. * @return 0 on failure, 1 on success. */ int image_rsa_verify(const struct rsa_public_key *key, const u8 *signature, const u8 *sha, u32 *workbuf32) { u8 buf[MAX_RSANUMBYTES]; u32 pkcs_pad_size; u32 key_bits = key->len * sizeof(u32) * 8; u32 key_bytes = key->len * sizeof(u32); /* Check key size */ if (key_bits != 1024 && key_bits != 2048 && key_bits != 4096) return 0; /* Copy input to local workspace. */ memcpy(buf, signature, key_bytes); mod_pow_F4(key, buf, workbuf32); /* In-place exponentiation. */ /* Check the PKCS#1 padding */ pkcs_pad_size = key_bytes - SHA256_DIGEST_SIZE; if (check_padding(buf, pkcs_pad_size) != 0) return 0; /* Check the digest. */ if (memcmp(buf + pkcs_pad_size, sha, SHA256_DIGEST_SIZE) != 0) return 0; return 1; /* All checked out OK. */ }