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Both use the usual Weierstrass form.
Both use the usual Weierstrass form.


== Elliptic curve for Kirk commands 1/2/3/0xA ==
== Elliptic curve for Kirk commands 1/2/3/10 ==


This curve is used for the ECDSA verification of Kirk commands 1, 2, 3 and 0xA.
This curve is used for the ECDSA verification of Kirk commands 1, 2, 3 and 10.


<pre>
<pre>
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== Elliptic curve for the other commands ==
== Elliptic curve for the other commands ==


This curved is used for Kirk commands 0xC, 0xD, 0xE, 0x10 and 0x11.
This curved is used for Kirk commands 12, 13, 14, 16 and 17.


<pre>
<pre>
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</pre>
</pre>


These commands allow to do operations with any public key. For the latest [[iplloader]] version which adds an additional ECDSA verification of the XOR of the block hashes, the public key which is hardcoded in the iplloader is (0xBC660611A70BD7F2D140A48215C096D11D2D4112, 0xF0E9379AC4E0D387C542D091349DD15169DD5A87).
The public key is variable. For the latest Pre-IPL version which add an additional ECDSA verification of the XOR of the block hashes, the public key is (0xBC660611A70BD7F2D140A48215C096D11D2D4112, 0xF0E9379AC4E0D387C542D091349DD15169DD5A87).


== Code sample ==
== Code sample ==
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|No
|No
|-
|-
|4~0x83
|4~131
|KIRK commands 4/7 decryption keys (128 possible ones)
|KIRK commands 4/7 decryption keys (128 possible ones)
|Yes
|Yes
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|}
|}


= PSP Individual Keys =
= Per-console keys =
 
Kirk commands 2, 3, 5, 6, 8, 9, 0x10 and 0x12 use individual (per-console) seeds to generate individual keys. The base per-console seed is the Fuse ID (6 bytes), which is transformed into a 0x30-byte buffer named unofficially "individual key mesh". The PSP individual key mesh is used to generate various final individual keys depending on a seed parameter.
 
== PSP Individual Key Mesh ==
 
=== Structure ===
 
<source lang="c">
typedef struct ScePspIndividualKeyMesh { // size is 0x30
    SceUInt8 derivation_seed_0[0x10]; // a seed used to derive final keys with derivation_key
    SceUInt8 derivation_seed_1[0x10]; // a seed used to derive final keys with derivation_key
    SceUInt8 derivation_key[0x10]; // AES128 key used to derive final keys from seed_0 and seed_1
} ScePspIndividualKeyMesh;
</source>
 
=== Algorithm ===
 
To generate the individual key mesh of a specific PSP, provided its [[Fuse ID]], execute the following code.
 
<source lang="c">
void gen_psp_individual_key_mesh(ScePspIndividualKeyMesh *key_mesh) {
  int i, k;
  u8 subkey_1[0x10], subkey_2[0x10];
  rijndael_ctx aes_ctx;
  u8 fuse_id[8];
 
  // Byte-reverse the Fuse ID
  u32 g_fuse90 = *(u32 *)0xBC100090;
  u32 g_fuse94 = *(u32 *)0xBC100094;
  fuse_id[7] = g_fuse90 &0xFF;
  fuse_id[6] = (g_fuse90>>8) &0xFF;
  fuse_id[5] = (g_fuse90>>16) &0xFF;
  fuse_id[4] = (g_fuse90>>24) &0xFF;
  fuse_id[3] = g_fuse94 &0xFF;
  fuse_id[2] = (g_fuse94>>8) &0xFF;
  fuse_id[1] = (g_fuse94>>16) &0xFF;
  fuse_id[0] = (g_fuse94>>24) &0xFF;
  rijndael_set_key(&aes_ctx, ids_master_key, 128); // set ids_master_key as AES key
 
  for (i = 0; i < 0x10; i++) // initialize the subkeys using the Fuse ID
    subkey_2[i] = subkey_1[i] = fuse_id[i % 8];
 
  for (i = 0; i < 3; i++) { // encrypt first subkey three times, and decrypt second subkey three times
    rijndael_encrypt(&aes_ctx, subkey_1, subkey_1);
    rijndael_decrypt(&aes_ctx, subkey_2, subkey_2);
  }
 
  rijndael_set_key(&aes_ctx, subkey_1, 128); // set subkey_1 as AES key
 
  for (i = 0; i < 3; i++) { // encrypt 3, 6 and 9 times subkey_2 to obtain the final key mesh
    for (k = 0; k < 3; k++)
      rijndael_encrypt(&aes_ctx, subkey_2, subkey_2);
    memcpy(key_mesh[i * 0x10], subkey_2, 0x10);
  }
}
 
typedef struct {
unsigned char buf1[8]; // 0
unsigned char buf2[8]; // 8
unsigned char buf3[8]; // 0x10
} SomeStructure;
 
void gen_psp_individual_key_mesh_official_implementation(SomeStructure *ss, ScePspIndividualKeyMesh *key_mesh) {
  byte bVar1;
  byte *dst;
  int idx;
  int j;
  byte *src;
  byte subkey_2[16];
  byte subkey_1[16];
  uint ctx[64];
  uint ctx2[64];
 
  AES_set_encrypt_key_2(g_ids_master_key, 128, ctx); // set g_ids_master_key as AES key
  AES_set_decrypt_key_2(g_ids_master_key, 128, ctx2); // set g_ids_master_key as AES key
 
  idx = 0; // initialize the subkeys using the Fuse ID
  do {
    bVar1 = ss[idx + ((int)(idx + ((uint)(idx >> 0x1f) >> 0x1d)) >> 3) * -8];
    src = subkey_2 + idx;
    dst = subkey_1 + idx;
    idx = idx + 1;
    *src = bVar1;
    *dst = bVar1;
  } while (idx < 0x10);
 
  idx = 2; // encrypt first subkey three times, and decrypt second subkey three times
  do {
    AES_encrypt_2(subkey_1, subkey_1, ctx);
    idx = idx - 1;
    AES_decrypt_2(subkey_2, subkey_2, ctx2);
  } while (-1 < idx);
 
  AES_set_encrypt_key_2(subkey_1, 128, ctx); // set subkey_1 as AES key
 
  idx = 0; // encrypt three times each one of the three first blocks
  do {
    j = 2;
    do {
      j = j - 1;
      AES_encrypt_2(subkey_2, subkey_2, ctx);
    } while (-1 < j);
    dst = key_mesh + idx * 0x10;
    j = 0;
    do {
      src = subkey_2 + j;
      j = j + 1;
      *dst = *src;
      dst = dst + 1;
    } while (j < 0x10);
    idx = idx + 1;
  } while (idx < 3);
}
</source>
 
== Final PSP Individual Keys ==
 
=== Algorithm ===
 
In some Kirk commands, the individual key mesh is used along with a seed parameter to generate a final individual key using the following algorithm.
 
<syntaxhighlight lang="c">
void make_perconsole_key(u8 output[16], int seed_param, ScePspIndividualKeyMesh *key_mesh) {
    if (seed_param & 1)
        memcpy(output, key_mesh->derivation_seed_1, 16);
    else
        memcpy(output, key_mesh->derivation_seed_0, 16);
 
    // Encrypt the result several times depending on the seed parameter
    rijndael_set_key(&aes_ctx, key_mesh->derivation_key);
    seed_param = (seed_param / 2) + 1;
    while ((seed_param--) >= 0) {
        rijndael_encrypt(&aes_ctx, output);
    }
}
</syntaxhighlight>
 
=== Seed Parameter Per Command ===


Some Kirk commands like commands 16 and 18 use individual (per-console) seeds. The base per-console seed is the Fuse ID (6 bytes), which is transformed into a 0x30 bytes buffer ("key mesh"). This buffer is used to generate different keys depending on a seed.
{| class="wikitable"
{| class="wikitable"
|+
|+
!Seed parameter
!Seed
!Usage
!Usage
|-
|-
|0
|0
|Kirk commands 2 (encryption) & 3 (decryption) (the real encryption and CMAC keys are random, but this per-console key is used to encrypt them)
|Kirk commands 2 (encryption) & 3 (decryption) (the real encryption & CMAC keys are random, but this per-console key is used to encrypt them)
|-
|-
|1
|1
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|RNG buffer reseeding
|RNG buffer reseeding
|}
|}
 
<source lang="c">
== PSP Individual Key Mesh Certificate ==
typedef struct ScePspKeyMesh { // size is 0x30
 
     SceUInt8 aes128cbc_key_1[0x10]; // used by Kirk commands 5 & 8 and 16
There exists a PSP Individual Key Mesh Certificate stored in both PSP flashData.prx and in PS Vita cmep keyrings 0x601 and 0x602 (in endian-swapped fashion). It contains the individual key mesh followed by the Fuse ID from which it was generated and ends with a hash.
     SceUInt8 aes128cbc_key_2[0x10]; // used by Kirk command 2 & 3, 6 & 9 and 18
 
     SceUInt8 derivation_key[0x10]; // used to derive the 2 other keys
=== Structure ===
} ScePspKeyMesh;
 
<source lang="C">
typedef struct ScePspIndividualKeyMeshCert { // size is 0x40
    ScePspIndividualKeyMesh key_mesh;
     SceUInt8 fuse_id[8]; // endianness to precise
     SceUInt8 reserved[4]; // could be arbitrary but in practice always zeroed
     SceUInt32 hash; // the hash algorithm is in PSP Jig Kick flashData.prx
} ScePspIndividualKeyMeshCert;
</source>
</source>


=== Algorithm ===
To generate the key mesh of a PSP, provided the Fuse ID (0xBC100090 and 0xBC100094 hardware registers), execute the following code.


To generate the ScePspIndividualKeyMeshCert of a specific PSP, provided its [[Fuse ID]], execute the following code.
<source lang="c">
 
void gen_psp_individual_seed() {  
<source lang="C">
   int i, k;
void gen_psp_individual_key_mesh_certificate_hash(ScePspIndividualKeyMeshCert *cert) {
   ScePspKeyMesh seed;
   byte bVar1;
   u8 subkey_1[0x10], subkey_2[0x10];
   uint uVar2;
   rijndael_ctx aes_ctx;
   int iVar3;
   u8 fuseid[8];
   byte *pbVar4;
    
   uint uVar5;
  // Byte-reverse the Fuse ID
   uint uVar6;
  u32 g_fuse90 = *(u32 *)0xBC100090;
   byte *pbVar7;
   u32 g_fuse94 = *(u32 *)0xBC100094;
   uint uVar8;
   fuseid[7] = g_fuse90 &0xFF;
   byte bVar9;
   fuseid[6] = (g_fuse90>>8) &0xFF;
   int idx;
   fuseid[5] = (g_fuse90>>16) &0xFF;
   int offset;
   fuseid[4] = (g_fuse90>>24) &0xFF;
   byte *pbVar11;
   fuseid[3] = g_fuse94 &0xFF;
   byte local_60 [80];
   fuseid[2] = (g_fuse94>>8) &0xFF;
   byte m [16];
   fuseid[1] = (g_fuse94>>16) &0xFF;
   uint uVar10;
  fuseid[0] = (g_fuse94>>24) &0xFF;
   rijndael_set_key(&aes_ctx, ids_master_key, 128); // set ids_master_key as AES key
    
    
   pbVar11 = local_60;
   for (i = 0; i < 0x10; i++) // initialize the subkeys using the Fuse ID
  m[0] = 1;
    subkey_2[i] = subkey_1[i] = fuseid[i % 8];
  m[1] = 0xf;
  m[2] = 0x36;
  m[3] = 0x78;
  m[4] = 0x40;


   offset = 0;
   for (i = 0; i < 3; i++) { // encrypt first subkey three times, and decrypt second subkey three times
  do {
     rijndael_encrypt(&aes_ctx, subkey_1, subkey_1);
    pbVar4 = cert + offset;
     rijndael_decrypt(&aes_ctx, subkey_2, subkey_2);
    pbVar7 = local_60 + offset;
   }
     offset = offset + 1;
     *pbVar7 = *pbVar4;
   } while (offset < 0x3c);


   offset = 0x3c;
   rijndael_set_key(&aes_ctx, subkey_1, 128); // set subkey_1 as AES key
  do {
    pbVar7 = local_60 + offset;
    offset = offset + 1;
    *pbVar7 = 0;
  } while (offset < 0x40);


   offset = 0;
   for (i = 0; i < 3; i++) { // encrypt 3, 6 and 9 times the subkey_2 to obtain the final keymesh
  do {
    for (k = 0; k < 3; k++)
    bVar1 = *pbVar11;
       rijndael_encrypt(&aes_ctx, subkey_2, subkey_2);
 
     memcpy(&seed[i * 0x10], subkey_2, 0x10);
    idx = 0;
   }
    do {
      uVar8 = (uint)m[idx];
      iVar3 = idx + 0x40;
      uVar10 = 0;
      bVar9 = 0;
      uVar2 = (uint)bVar1;
      while (uVar8 != 0) {
        uVar6 = uVar2 << 1;
        uVar5 = uVar8 & 1;
        uVar8 = (int)uVar8 >> 1;
        if (uVar5 != 0) {
          uVar10 = uVar10 ^ uVar2;
        }
        bVar9 = (byte)uVar10;
        uVar2 = uVar6;
        if ((uVar6 & 0x100) != 0)
          uVar2 = uVar6 ^ 0x11d;
      }
      idx = idx + 1;
      local_60[iVar3] = bVar9;
    } while (idx < 5);
 
    idx = 0;
    do {
      pbVar7 = pbVar11 + idx;
      iVar3 = idx + 0x40;
      idx = idx + 1;
       *pbVar7 = *pbVar7 ^ local_60[iVar3];
    } while (idx < 5);
 
     idx = offset + 1;
    pbVar11 = local_60 + offset + 1;
    offset = idx;
  } while (idx < 0x3c);
 
  offset = 0x3c;
  do {
    pbVar11 = local_60 + offset;
    pbVar7 = cert + offset;
    offset = offset + 1;
    *pbVar7 = *pbVar11;
    *pbVar11 = 0;
   } while (offset < 0x40);
 
  return;
}
}
 
</source>The key mesh can then be used along with a seed to generate a key using the following algorithm:<syntaxhighlight lang="c">
void gen_psp_individual_key_mesh_certificate(SomeStructure *ss, byte *data_for_0x38, ScePspIndividualKeyMeshCert *cert) {  
void make_perconsole_key(u8 output[16], int seed, ScePspKeyMesh keymesh)
  gen_psp_key_mesh(cert->key_mesh);
{
 
    if (seed & 1) {
  for (int idx = 0; idx < 8; idx++)
        memcpy(output, keymesh.aes128cbc_key_2, 16);
     cert->fuse_id[idx] = ss[idx];
    } else {
 
        memcpy(output, keymesh.aes128cbc_key_1, 16);
  for (int idx = 0; idx < 4; idx++)
     }
     cert->reserved[idx] = data_for_0x38[idx];
    // Encrypt the result several times depending on the seed
 
    rijndael_set_key(&aes_ctx, keymesh.aes128cbc_derivation_key);
  gen_psp_individual_key_mesh_certificate_hash(cert);
    seed = (seed / 2) + 1;
 
     while ((seed--) >= 0) {
  return 0;
        rijndael_encrypt(&aes_ctx, output);
    }
}
}
 
</syntaxhighlight>
typedef struct U64 {
unsigned int low;
unsigned int high;
} U64;
 
int CreateSomeStructure(SomeStructure *ss) {
U64 fuse_id;
int i;
 
memcpy(&fuse_id, &g_fuse_id, 8);
 
memset(ss->buf1, 0, 8);
memset(ss->buf2, 0xFF, 8);
 
memcpy(ss->buf3, &fuse_id.high, 4);
memcpy(ss->buf3+4, &fuse_id.low, 4);
 
for (i = 0; i < 4; i++) {
ss->buf1[3-i] = ss->buf3[i];
ss->buf1[7-i] = ss->buf3[4+i];
}
 
return 0;
}
 
uint gen_psp_individual_seed_helper(ScePspIndividualKeyMeshCert *cert) {
  SomeStructure ss;
  CreateSomeStructure(&ss);
  int data_for_0x38 = 0;
  gen_psp_individual_key_mesh_certificate(&ss, &data_for_0x38, cert)
  return 0;
}
</source>
 
= Mapping Structure =
<pre>
0xBDE00000 = Kirk Signature
0xBDE00004 = Kirk Version
0xBDE00008 = Kirk Error
0xBDE0000C = Kirk Proc Phase
0xBDE00010 = Kirk CMD Number
0xBDE00014 = Kirk Result
0xBDE00018 = Unknown?
0xBDE0001C = Kirk Status
0xBDE00020 = Kirk Status Asynchronous
0xBDE00024 = Kirk Status Asynchronous End
0xBDE00028 = Kirk Status End
0xBDE0002C = Kirk Source Address
0xBDE00030 = Kirk Destination Address
</pre>


= Commands =
= Commands =
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|-
|-
| 15 (0xF)
| 15 (0xF)
| KIRK_CMD_SEED
| KIRK_CMD_INIT_FUSE_SEEDS
| Seed the Kirk internal RNG buffer
| Kirk Fuse Seeds Initialization
| 0x1C
| 0x1C
| 0x1C
| 0x1C
Line 681: Line 431:
|}
|}


== Command 0x0: decrypt kbooti ==
== Command 0: decrypt kbooti ==
This command is only used by devkits to decrypt the kbooti, ie the devkit's Bootrom. It supposedly can only be run at a very early stage. The very short header is as follows.
This command is only used by devkits to decrypt the kbooti, ie the devkit's Pre-IPL. It supposedly can only be run at a very early stage. The very short header is as follows.
{| class="wikitable"
{| class="wikitable"
|+
|+
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# Decrypt body using AES slotted key 0
# Decrypt body using AES slotted key 0


== Commands 0x1, 0x2, 0x3 & 0xA: decryption and authentication ==
== Commands 1, 2, 3 & 10: decryption and authentication ==


=== Overview ===
=== Overview ===
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* Command 2 is used to decrypt DRMBB and reencrypt them using a (random key encrypted with a) per-console key to generate data to pass to command 3.
* Command 2 is used to decrypt DRMBB and reencrypt them using a (random key encrypted with a) per-console key to generate data to pass to command 3.
* Command 3 decrypts data encrypted by command 2.
* Command 3 decrypts data encrypted by command 2.
* Command 0xA takes the same data as commands 1, 2 and 3 but only does the signature verification for the header (not for the body) and no decryption (or reencryption).
* Command 10 takes the same data as commands 1, 2 and 3 but only does the signature verification for the header (not for the body) and no decryption (or reencryption).


There are two versions of this service: AES CMAC verification, and ECDSA verification. They use the header section of the input buffer slightly differently.
There are two versions of this service: AES CMAC verification, and ECDSA verification. They use the header section of the input buffer slightly differently.
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# Generate a valid CMAC or ECDSA signature for the output. For ECDSA, this uses the private key stored in key slot 4 (and is the private counterpart of slots 5/6 used by command 3).
# Generate a valid CMAC or ECDSA signature for the output. For ECDSA, this uses the private key stored in key slot 4 (and is the private counterpart of slots 5/6 used by command 3).


=== Command 0xA ===
=== Command 10 ===
Its behavior is very simple:
Its behavior is very simple:


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# Decrypt the data using the result of step 2 as a key
# Decrypt the data using the result of step 2 as a key


== Command 0xB: SHA1 ==
== Command 11: SHA1 ==


This command computes the SHA1 of the input. The input must be prefixed with a 4-byte header giving the length of the buffer. Output is 0x14-byte long.
This command computes the SHA1 of the input. The input must be prefixed with a 4-byte header giving the length of the buffer. Output is 0x14-byte long.


== Command 0xC: ECDSA key pair generation ==
== Command 12: ECDSA key pair generation ==


This command generates a random private key and computes the associated public key. See above for the parameters of the elliptic curve.
This command generates a random private key and computes the associated public key. See above for the parameters of the elliptic curve.
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*0x28 - Public Key point y value
*0x28 - Public Key point y value


== Command 0xD: ECDSA point multiplication ==
== Command 13: ECDSA point multiplication ==


This command multiplies an elliptic curve point by a scalar. See above for the parameters of the elliptic curve.
This command multiplies an elliptic curve point by a scalar. See above for the parameters of the elliptic curve.
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The result is a new point (x and y are each 0x14 bytes long).
The result is a new point (x and y are each 0x14 bytes long).


== Command 0xE: PRNG ==
== Command 14: PRNG ==


This function takes no input and generates an ECDSA private key similarly to command 12, but without computing the associated public key. (This is basically getting random data, but within the range given by the order of the curve.)
This function takes no input and generates an ECDSA private key similarly to command 12, but without computing the associated public key. (This is basically getting random data, but within the range given by the order of the curve.)


== Command 0xF: Seed RNG buffer ==
== Command 15: Seed RNG buffer ==
This function seeds the Kirk 32-byte RNG buffer used to generate all the random data coming from Kirk.
This function seeds the Kirk RNG buffer used to generate all the random data coming from Kirk.


It takes as an input and output data of size 0x1c:
It takes as an input and output data of size 0x1c:


* 0x00 - 64-bit counter - increased by 1 in the output
* 0x00 - unknown - modified by an unknown opcode
* 0x08 - seed data (0x14 bytes long) - used for seeding as an input, and contains fresh reseeded data for the output
* 0x04 - counter - increased by 1 in the output
* 0x08 - seed data - used for seeding, and contains fresh reseeded data for the output


Seeding works this way:
Seeding works this way:


# Increment the input counter
# Increase input counter and do unknown operation on offset 0x00
# Set the first 0x14 bytes of the PRNG seed to the input seed data, XOR'ed with a SHA1 of data coming from a true random number generator
# Set the PRNG seed to the input seed data, XOR'ed with a SHA1 of data coming from a true random number generator
# Initialize the 32-byte RNG buffer to two empty words, and two words taken from the input data at offsets 0x00 and 0x04
# Initialize RNG buffer to two empty words, and then output data at offsets 0x00 and 0x04
# Do a reseeding (see below)
# Do a reseeding
# Output the bytes contained in the first 0x14 bytes of the PRNG seed after the reseeding
# Output resulting buffer.


Reseeding is then done by all operations requiring random data and works this way:
Reseeding is then done by all operations requiring random data and works this way:


# Encrypt RNG buffer with AES per-console key with seed 6
# Encrypt RNG buffer with AES per-console key with seed 6
# Set the last half of the PRNG seed (0x14 bytes) to the contents RNG buffer
# Reseed the PRNG with the RNG buffer
# Regenerate data with the PRNG
# Regenerate data with the PRNG
The functions requiring random data then use some parts of the PRNG state ("seed" (first 0x28 bytes of the PRNG state) or "result" (last 0x14 bytes of the PRNG state)) as random data to be used.


== Command 0x10: ECDSA signature generation ==
== Command 16: ECDSA signature generation ==


This command generates an ECDSA signature of a SHA1 hash (0x14 buffer) using an encrypted private key. It is used to verify IdStorage IDPS certificates.
This command generates an ECDSA signature of a SHA1 hash (0x14 buffer) using an encrypted private key. It is used to verify IdStorage IDPS certificates.
Line 968: Line 718:
The private key buffer is encrypted with the per-console key with seed 3. The command simply decrypts it, verifies that the scalar is valid (non-zero and less than the order of the curve), and outputs the resulting signature.
The private key buffer is encrypted with the per-console key with seed 3. The command simply decrypts it, verifies that the scalar is valid (non-zero and less than the order of the curve), and outputs the resulting signature.


== Command 0x11: ECDSA signature verification ==
== Command 17: ECDSA signature verification ==


This command verifies an ECDSA signature. It is used to verify IdStorage IDPS certificates.
This command verifies an ECDSA signature.


It takes no output, and takes as an input:
It takes no output, and takes as an input:
Line 980: Line 730:
The result of the operation is given by the return value (0 on success, KIRK_ECDSA_DATA_INVALID on failure to verify the signature).
The result of the operation is given by the return value (0 on success, KIRK_ECDSA_DATA_INVALID on failure to verify the signature).


== Command 0x12: verify certificate ==
== Command 18: verify certificate ==
 
This command verifies an AES-CBC-MAC (OMAC1) signature. It is used to verify [[IDStorage#IDStorage_certified_sections|ID Storage certificates]].


This command has no output.
This command has no output.


It takes as input an [[IDStorage#IDStorage_certified_sections|ID Storage certificate]] read from [[IDStorage]].
It takes as an input a 0xB8-long buffer:
 
*0x00: certificate data (either ConsoleID or OpenPSID) and ECDSA signature etc. (unused here)
<source lang="C">
*0xA8: AES-CMAC hash of the rest of the header.
typedef struct kirk_command_0x12_input{
It verifies the AES CMAC of the header using per-console key with seed 4.
ids_cert_psp certificate;
} kirk_command_0x12_input;
</source>
 
It uses per-console key with seed 4.


= Error codes =
= Error codes =
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