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openpgp-notes/book/source/18-zoom_private_keys.md

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# Zooming in: Packet structure of private key material
## A look at Alice's (unencrypted) private key packets
Let's take a look at the key material packets of [Alice's key](alice_priv).
To inspect the internal structure of Alice's key, we run the Sequoia-PGP tool `sq` (using the `packet dump` subcommand). The output of `sq` is one big block of text. To discuss the relevant content, we'll only show the output for the packets that contain key data, here:
```text
$ sq packet dump --hex alice.priv
```
### Primary Secret-Key packet
The output starts with the (primary) [Secret-Key packet](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-10.html#name-secret-key-packet-formats):
```text
Secret-Key Packet, new CTB, 2 header bytes + 75 bytes
Version: 6
Creation time: 2023-09-29 15:17:58 UTC
Pk algo: Ed25519
Pk size: 256 bits
Fingerprint: AAA18CBB254685C58358320563FD37B67F3300F9FB0EC457378CD29F102698B3
KeyID: AAA18CBB254685C5
Secret Key:
Unencrypted
00000000 c5 CTB
00000001 4b length
00000002 06 version
00000003 65 16 ea a6 creation_time
00000007 1b pk_algo
00000008 00 00 00 20 public_len
0000000c 53 24 e9 43 ed25519_public
00000010 af ab 15 f7 6e d5 b5 12 98 79 69 cd 1b 5d 10 65
00000020 eb e7 42 e2 ab 47 f4 86 b3 ae 65 3e
0000002c 00 s2k_usage
0000002d ef e1 99 ed25519_secret
00000030 b5 5f 11 fb aa 93 e8 26 9d 3b b2 2d 72 20 7d ff
00000040 bd 42 dd 4b e9 a3 36 81 3b a5 cc cf fb
```
The Secret-Key packet consists in large part of the actual cryptographic key data. Notice that its content is almost entirely the same as the Public-Key packet [seen in the previous chapter](public_key). Let's look at the packet field by field:
- `CTB: 0xc5`[^CTB]: The [packet type ID](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-10.html#name-packet-headers) for this packet. The binary representation of the value `0xc5` is `11000101`. Bits 7 and 6 show that the packet is in *OpenPGP packet format* (as opposed to in *Legacy packet format*). The remaining 6 bits encode the type ID's value: "5". This is the value for a Secret-Key packet, as shown in the list of [packet type IDs](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-10.html#name-packet-tags).
- `length: 0x4b`: The remaining length of this packet.
[^CTB]: Sequoia uses the term CTB (Cipher Type Byte) to refer to the RFC's [packet type ID](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-10.html#name-packet-headers). In previous versions, the RFC called this field "Packet Tag".
The packet type id defines the semantics of the remaining data in the packet. We're looking at a Secret-Key packet, which is a kind of [Key Material Packet](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-10.html#name-key-material-packets).
- `version: 0x06`: The key material is in version 6 format
This means that the next part of the packet follows the structure of [Version 6 Public Keys](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-10.html#name-version-6-public-keys)
- `creation_time: 0x6516eaa6`: "The time that the key was created" (also see [Time Fields](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-10.html#name-time-fields))
- `pk_algo: 0x1b`: "The public-key algorithm ID of this key" (decimal value 27, see the list of [Public-Key Algorithms](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-10.html#name-public-key-algorithms))
- `public_len: 0x00000020`: "Octet count for the following public key material" (in this case, the length of the following `ed25519_public` field)
- `ed25519_public`: [Algorithm-specific representation](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-10.html#name-algorithm-specific-part-for-ed2) of the public key material (the format is based on the value of `pk_algo`), in this case 32 bytes of Ed25519 public key
This concludes the Public Key section of the packet. The remaining data follows the [Secret-Key packet format](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-10.html#name-secret-key-packet-formats):
- `s2k_usage: 0x00`: The [*S2K usage* value](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-10.html#name-secret-key-encryption-s2k-u) of `0x00` specifies that the secret-key data is not encrypted
- `ed25519_secret`: [Algorithm-specific representation](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-10.html#name-algorithm-specific-part-for-ed2) of the secret key data (the format is based on the value of `pk_algo`). Because the private key material in this packet is not encrypted, this field
```{tip}
The overall structure of OpenPGP packets is described in the [Packet Syntax](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-10.html#name-packet-syntax) chapter of the RFC.
```
Note that the *Secret-Key packet* contains both the private and the public part of the key.
### Secret-Subkey packet
Further down in the "packet dump" of Alice's key, we see the encryption subkey, which we already inspected in its Public-Subkey packet format, [above](zoom_enc_subkey):
```text
Secret-Subkey Packet, new CTB, 2 header bytes + 75 bytes
Version: 6
Creation time: 2023-09-29 15:17:58 UTC
Pk algo: X25519
Pk size: 256 bits
Fingerprint: C0A58384A438E5A14F73712426A4D45DBAEEF4A39E6B30B09D5513F978ACCA94
KeyID: C0A58384A438E5A1
Secret Key:
Unencrypted
00000000 c7 CTB
00000001 4b length
00000002 06 version
00000003 65 16 ea a6 creation_time
00000007 19 pk_algo
00000008 00 00 00 20 public_len
0000000c d1 ae 87 d7 x25519_public
00000010 cc 42 af 99 34 c5 c2 5c ca fa b7 4a c8 43 fc 86
00000020 35 2a 46 01 f3 cc 00 f5 4a 09 3e 3f
0000002c 00 s2k_usage
0000002d 28 7d cd x25519_secret
00000030 da 26 16 37 8d ea 24 c7 ce e7 70 c7 9b e5 6f 0a
00000040 c9 77 fb bd 23 41 73 c9 57 5a bf 7c 4c
```
Again, this packet consists of the same content as its Public-Subkey equivalent, followed by two additional fields:
- The "S2K usage" field, which indicated whether the private key material is encrypted. Like Alice's primary key (above), this subkey is not encrypted.
- The private key material: in this case, the algorithm-specific private key data consists of 32 bytes of `x25519_secret` data.
As with the public key material, the difference between the format of this subkey packet and the private key packet is minimal: Only the packet type ID differs.
## Bob's (encrypted) private key material
Now we look at the primary key material packet of [Bob's key](bob_priv), which uses passphrase protection.
```text
Secret-Key Packet, new CTB, 2 header bytes + 134 bytes
Version: 6
Creation time: 2023-10-13 14:29:00 UTC
Pk algo: Ed25519
Pk size: 256 bits
Fingerprint: BB289FB7A68DBFA8C384CCCDE2058E02D9C6CD2F3C7C56AE7FB53D971170BA83
KeyID: BB289FB7A68DBFA8
Secret Key:
Encrypted
S2K: Argon2id with t: 1, p: 4, m: 2^21, salt: 3B7F4B0EAC8B39625AB4D4BD690413C7 Sym. algo: AES-256
00000000 c5 CTB
00000001 86 length
00000002 06 version
00000003 65 29 54 2c creation_time
00000007 1b pk_algo
00000008 00 00 00 20 public_len
0000000c 47 e7 c2 dc ed25519_public
00000010 58 8e cb fd f2 49 90 66 ae aa 36 66 ca a9 55 2d
00000020 71 88 7c 25 91 c3 75 73 1d 07 60 d6
0000002c fe s2k_usage
0000002d 16 parameters_len
0000002e 09 sym_algo
0000002f 14 s2k_len
00000030 04 s2k_type
00000031 3b 7f 4b 0e ac 8b 39 62 5a b4 d4 bd 69 04 13 argon2_salt
00000040 c7
00000041 01 argon2_t
00000042 04 argon2_p
00000043 15 argon2_m
00000044 21 ff be fc f1 c5 9c 75 9d 1f d1 f8 encrypted_mpis
00000050 19 e7 fd 47 55 e3 69 ff 2f e8 52 48 66 03 d3 37
00000060 52 7b 05 cb fa b1 f8 13 f7 f6 20 88 d6 f5 8b c4
00000070 b4 51 52 ba 6d f9 7c 1a ee 9f e6 b1 fb 63 d1 ca
00000080 4a 3f 33 d9 2c c9 26 46
```
The first portion of Bob's Secret-Key packet has the same structure as Alice's, but beginning at the `s2k_usage`, we see different data. The format of this data is described in [Secret-Key Packet Formats](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-10.html#name-secret-key-packet-formats).
- `s2k_usage: 0xfe`: [S2K usage](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-10.html#name-secret-key-encryption-s2k-u) is set to `AEAD`, here (decimal value 253).
- `parameters_len: 0x16` (decimal value: 22): "Cumulative length of all the following conditionally included string-to-key parameter fields."
- `sym_algo: 0x9`: [Symmetric-Key Algorithm](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-10.html#name-symmetric-key-algorithms) specifies that AES 256 is used as the AEAD algorithm
- `s2k_len: 0x14` (decimal value 20): "[..] count of the size of the one field following this octet"
The next set of data is the "string-to-key (S2K) specifier." Its format depends on the type.
- `s2k_type: 0x04` [String-to-Key (S2K) Specifier Type](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-10.html#name-string-to-key-s2k-specifier-), set to *Argon2* here.
The next fields are [specific to Argon2](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-11.html#name-argon2):
- `argon2_salt`: "16-octet salt value"
- `argon2_t`: "number of passes t"
- `argon2_p`: "degree of parallelism p"
- `argon2_m`: "the exponent of the memory size"
```{admonition} TODO
:class: warning
Where is that IV:
["If string-to-key usage octet was 253 (AEAD), an initialization vector (IV) of size specified by the AEAD algorithm (see Section 5.13.2), which is used as the nonce for the AEAD algorithm"](https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-11.html#section-5.5.3-3.4.2.5)
Is the example key wrong?!
```
"Plain or encrypted multiprecision integers comprising the secret key data. This is algorithm-specific and described in Section 5.5.5. If the string-to-key usage octet is 253 (AEAD), then an AEAD authentication tag is at the end of that data."
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