While researching hidden services, I have diagrammed the process of generating .onion domains. Interestingly, this process shares similarities with Bitcoin address generation: both start with a random private key, which is then transformed into a public key, hashed, and finally re-encoded using BASE encoding. This method ensures the randomness and uniqueness of both Bitcoin addresses and .onion domains.

v2 .onion Address Generation Process

Generating a visually appealing domain name or Bitcoin address is possible with enough resources and time.

It’s evident that the cryptographic algorithms used in the onion network, like SHA-1 and RSA-1024, are somewhat outdated. Recognizing this, the Tor Project introduced improvements in the latest v3 protocol1, replacing SHA-1 with SHA-3 and RSA-1024 with elliptic curve cryptography.

“Better crypto (replaced SHA1/DH/RSA1024 with SHA3/ed25519/curve25519)”

Notable .onion Domain Websites

  • Facebook: Used over 500,000 cores and spent approximately US$100,000 over a week to generate the domain “facebookcorewwwi.onion”.
  • BlockChain.info: Cost around 200-300 USD and took about 24 hours using AWS G1 instances and six ATIs to create “blockchainbdgpzk.onion”.
  • ExpressVPN: A typical computer took about two weeks to generate “expressobutiolem.onion” 2.

v3 .onion Address Generation Process

The v3 address generation has abandoned SHA-1 and has not adopted the new SHA-3.

“256-bit ECC keys are roughly equivalent to 3072-bit RSA keys (based on the best current attack algorithms).”

The v3 protocol introduces the use of the ed25519 algorithm2 for public-private key transformations, moving away from the less secure RSA algorithm. Ed25519 is known for its efficiency and high security level, currently being used in many cryptographic projects like Zcash, Factom, NEM, and plans for implementation in Ethereum. Ed25519 offers significant improvements in computational efficiency without compromising security, equivalent to a 128-bit security level, similar to secp256k1.

A unique aspect of v3 is the addition of a CHECKSUM, which differs from the CHECKSUM used in Bitcoin address generation. Bitcoin employs a double sha-256 and takes the first few bits as the CHECKSUM, while .onion v3 uses a signature algorithm for its CHECKSUM.

The final step involves combining the Public Key, CHECKSUM, and version number, and encoding them with base32, resulting in a 56-character long .onion address.

Original Documentation for v3 Address Generation

1. Encoding onion addresses [ONIONADDRESS]

   The onion address of a hidden service includes its identity public key, a
   version field and a basic checksum. All this information is then base32
   encoded as shown below:

     onion_address = base32(PUBKEY | CHECKSUM | VERSION) + ".onion"
     CHECKSUM = H(".onion checksum" | PUBKEY | VERSION)[:2]

     where:
       - PUBKEY is the 32 bytes ed25519 master pubkey of the hidden service.
       - VERSION is a one-byte version field (default value '\x03')
       - ".onion checksum" is a constant string
       - CHECKSUM is truncated to two bytes before inserting it in onion_address