NIP-49 - Private Key Encryption

Table of Contents

• Private Key Encryption
• Symmetric Encryption Key derivation
• Encrypting a private key
• Test Data
• Password Unicode Normalization
• Encryption
• Decryption
• Discussion
  • On Key Derivation
  • On the symmetric encryption algorithm
• Recommendations

Private Key Encryption

draft optional

This NIP defines a method by which clients can encrypt (and decrypt) a user's private key with a password.

Symmetric Encryption Key derivation

PASSWORD = Read from the user. The password should be unicode normalized to NFKC format to ensure that the password can be entered identically on other computers/clients.

LOG_N = Let the user or implementer choose one byte representing a power of 2 (e.g. 18 represents 262,144) which is used as the number of rounds for scrypt. Larger numbers take more time and more memory, and offer better protection:

| LOG_N | MEMORY REQUIRED | APPROX TIME ON FAST COMPUTER |
|-------|-----------------|----------------------------- |
| 16    | 64 MiB          | 100 ms                       |
| 18    | 256 MiB         |                              |
| 20    | 1 GiB           | 2 seconds                    |
| 21    | 2 GiB           |                              |
| 22    | 4 GiB           |                              |

SALT = 16 random bytes

SYMMETRIC_KEY = scrypt(password=PASSWORD, salt=SALT, log_n=LOG_N, r=8, p=1)

The symmetric key should be 32 bytes long.

This symmetric encryption key is temporary and should be zeroed and discarded after use and not stored or reused for any other purpose.

Encrypting a private key

The private key encryption process is as follows:

PRIVATE_KEY = User's private (secret) secp256k1 key as 32 raw bytes (not hex or bech32 encoded!)

KEY_SECURITY_BYTE = one of:

• 0x00 - if the key has been known to have been handled insecurely (stored unencrypted, cut and paste unencrypted, etc)
• 0x01 - if the key has NOT been known to have been handled insecurely (stored unencrypted, cut and paste unencrypted, etc)
• 0x02 - if the client does not track this data

ASSOCIATED_DATA = KEY_SECURITY_BYTE

NONCE = 24 byte random nonce

CIPHERTEXT = XChaCha20-Poly1305( plaintext=PRIVATE_KEY, associated_data=ASSOCIATED_DATA, nonce=NONCE, key=SYMMETRIC_KEY )

VERSION_NUMBER = 0x02

CIPHERTEXT_CONCATENATION = concat( VERSION_NUMBER, LOG_N, SALT, NONCE, ASSOCIATED_DATA, CIPHERTEXT )

ENCRYPTED_PRIVATE_KEY = bech32_encode('ncryptsec', CIPHERTEXT_CONCATENATION)

The output prior to bech32 encoding should be 91 bytes long.

The decryption process operates in the reverse.

Test Data

Password Unicode Normalization

The following password input: "ÅΩẛ̣"

• Unicode Codepoints: U+212B U+2126 U+1E9B U+0323
• UTF-8 bytes: [0xE2, 0x84, 0xAB, 0xE2, 0x84, 0xA6, 0xE1, 0xBA, 0x9B, 0xCC, 0xA3]

Should be converted into the unicode normalized NFKC format prior to use in scrypt: "ÅΩẛ̣"

• Unicode Codepoints: U+00C5 U+03A9 U+1E69
• UTF-8 bytes: [0xC3, 0x85, 0xCE, 0xA9, 0xE1, 0xB9, 0xA9]

Encryption

The encryption process is non-deterministic due to the random nonce.

Decryption

The following encrypted private key:

ncryptsec1qgg9947rlpvqu76pj5ecreduf9jxhselq2nae2kghhvd5g7dgjtcxfqtd67p9m0w57lspw8gsq6yphnm8623nsl8xn9j4jdzz84zm3frztj3z7s35vpzmqf6ksu8r89qk5z2zxfmu5gv8th8wclt0h4p

When decrypted with password='nostr' and log_n=16 yields the following hex-encoded private key:

3501454135014541350145413501453fefb02227e449e57cf4d3a3ce05378683

Discussion

On Key Derivation

Passwords make poor cryptographic keys. Prior to use as a cryptographic key, two things need to happen:

1. An encryption key needs to be deterministically created from the password such that is has a uniform functionally random distribution of bits, such that the symmetric encryption algorithm's assumptions are valid, and
2. A slow irreversible algorithm should be injected into the process, so that brute-force attempts to decrypt by trying many passwords are severely hampered.

These are achieved using a password-based key derivation function. We use scrypt, which has been proven to be maximally memory hard and which several cryptographers have indicated to the author is better than argon2 even though argon2 won a competition in 2015.

On the symmetric encryption algorithm

XChaCha20-Poly1305 is typically favored by cryptographers over AES and is less associated with the U.S. government. It (or it's earlier variant without the 'X') is gaining wide usage, is used in TLS and OpenSSH, and is available in most modern crypto libraries.

Recommendations

It is not recommended that users publish these encrypted private keys to nostr, as cracking a key may become easier when an attacker can amass many encrypted private keys.

It is recommended that clients zero out the memory of passwords and private keys before freeing that memory.