# Cryptographic Primitives

Avalanche uses a variety of cryptographic primitives for its different functions. This file summarizes the type and kind of cryptography used at the network and blockchain layers.

## Cryptography in the Network Layer​

Avalanche uses Transport Layer Security, TLS, to protect node-to-node communications from eavesdroppers. TLS combines the practicality of public-key cryptography with the efficiency of symmetric-key cryptography. This has resulted in TLS becoming the standard for internet communication. Whereas most classical consensus protocols employ public-key cryptography to prove receipt of messages to third parties, the novel Snow* consensus family does not require such proofs. This enables Avalanche to employ TLS in authenticating stakers and eliminates the need for costly public-key cryptography for signing network messages.

### TLS Certificates​

Avalanche does not rely on any centralized third-parties, and in particular, it does not use certificates issued by third-party authenticators. All certificates used within the network layer to identify endpoints are self-signed, thus creating a self-sovereign identity layer. No third parties are ever involved.

To avoid posting the full TLS certificate to the Platform chain, the certificate is first hashed. For consistency, Avalanche employs the same hashing mechanism for the TLS certificates as is used in Bitcoin. Namely, the DER representation of the certificate is hashed with sha256, and the result is then hashed with ripemd160 to yield a 20-byte identifier for stakers.

This 20-byte identifier is represented by "NodeID-" followed by the data’s CB58 encoded string.

## Cryptography in the Avalanche Virtual Machine​

The Avalanche virtual machine uses elliptic curve cryptography, specifically secp256k1, for its signatures on the blockchain.

This 32-byte identifier is represented by "PrivateKey-" followed by the data’s CB58 encoded string.

Avalanche is not prescriptive about addressing schemes, choosing to instead leave addressing up to each blockchain.

The addressing scheme of the X-Chain and the P-Chain relies on secp256k1. Avalanche follows a similar approach as Bitcoin and hashes the ECDSA public key. The 33-byte compressed representation of the public key is hashed with sha256 once. The result is then hashed with ripemd160 to yield a 20-byte address.

Avalanche uses the convention chainID-address to specify which chain an address exists on. chainID may be replaced with an alias of the chain. When transmitting information through external applications, the CB58 convention is required.

### Bech32​

Addresses on the X-Chain and P-Chain use the Bech32 standard outlined in BIP 0173. There are four parts to a Bech32 address scheme. In order of appearance:

• A human-readable part (HRP). On Mainnet this is avax.
• The number 1, which separates the HRP from the address and error correction code.
• A base-32 encoded string representing the 20 byte address.
• A 6-character base-32 encoded error correction code.

Additionally, an Avalanche address is prefixed with the alias of the chain it exists on, followed by a dash. For example, X-Chain addresses are prefixed with X-.

The following regular expression matches addresses on the X-Chain, P-Chain and C-Chain for Mainnet, Fuji and localhost. Note that all valid Avalanche addresses will match this regular expression, but some strings that are not valid Avalanche addresses may match this regular expression.

^([XPC]|[a-km-zA-HJ-NP-Z1-9]{36,72})-[a-zA-Z]{1,83}1[qpzry9x8gf2tvdw0s3jn54khce6mua7l]{38}\$

### Secp256k1 Recoverable Signatures​

Recoverable signatures are stored as the 65-byte [R || S || V] where V is 0 or 1 to allow quick public key recoverability. S must be in the lower half of the possible range to prevent signature malleability. Before signing a message, the message is hashed using sha256.

### Secp256k1 Example​

Suppose Rick and Morty are setting up a secure communication channel. Morty creates a new public-private key pair.

Private Key: 0x98cb077f972feb0481f1d894f272c6a1e3c15e272a1658ff716444f465200070

Public Key (33-byte compressed): 0x02b33c917f2f6103448d7feb42614037d05928433cb25e78f01a825aa829bb3c27

Because of Rick’s infinite wisdom, he doesn’t trust himself with carrying around Morty’s public key, so he only asks for Morty’s address. Morty follows the instructions, SHA256’s his public key, and then ripemd160’s that result to produce an address.

SHA256(Public Key): 0x28d7670d71667e93ff586f664937f52828e6290068fa2a37782045bffa7b0d2f

Address: 0xe8777f38c88ca153a6fdc25942176d2bf5491b89

Morty is quite confused because a public key should be safe to be public knowledge. Rick belches and explains that hashing the public key protects the private key owner from potential future security flaws in elliptic curve cryptography. In the event cryptography is broken and a private key can be derived from a public key, users can transfer their funds to an address that has never signed a transaction before, preventing their funds from being compromised by an attacker. This enables coin owners to be protected while the cryptography is upgraded across the clients.

Later, once Morty has learned more about Rick’s backstory, Morty attempts to send Rick a message. Morty knows that Rick will only read the message if he can verify it was from him, so he signs the message with his private key.

Message: 0x68656c702049276d207472617070656420696e206120636f6d7075746572

Message Hash: 0x912800c29d554fb9cdce579c0abba991165bbbc8bfec9622481d01e0b3e4b7da

Message Signature: 0xb52aa0535c5c48268d843bd65395623d2462016325a86f09420c81f142578e121d11bd368b88ca6de4179a007e6abe0e8d0be1a6a4485def8f9e02957d3d72da01

Morty was never seen again.

## Signed Messages​

A standard for interoperable generic signed messages based on the Bitcoin Script format and Ethereum format.

sign(sha256(length(prefix) + prefix + length(message) + message))

The prefix is simply the string \x1AAvalanche Signed Message:\n, where 0x1A is the length of the prefix text and length(message) is an integer of the message size.

### Gantt Pre-Image Specification​

+---------------+-----------+------------------------------+| prefix        : [26]byte  |                     26 bytes |+---------------+-----------+------------------------------+| messageLength : int       |                      4 bytes |+---------------+-----------+------------------------------+| message       : []byte    |          size(message) bytes |+---------------+-----------+------------------------------+                            |       26 + 4 + size(message) |                            +------------------------------+

### Example​

As an example we will sign the message "Through consensus to the stars"

// prefix size: 26 bytes0x1a// prefix: Avalanche Signed Message:\n0x41 0x76 0x61 0x6c 0x61 0x6e 0x63 0x68 0x65 0x20 0x53 0x69 0x67 0x6e 0x65 0x64 0x20 0x4d 0x65 0x73 0x73 0x61 0x67 0x65 0x3a 0x0a// msg size: 30 bytes0x00 0x00 0x00 0x1e// msg: Through consensus to the stars54 68 72 6f 75 67 68 20 63 6f 6e 73 65 6e 73 75 73 20 74 6f 20 74 68 65 20 73 74 61 72 73

After hashing with sha256 and signing the pre-image we return the value cb58 encoded: 4Eb2zAHF4JjZFJmp4usSokTGqq9mEGwVMY2WZzzCmu657SNFZhndsiS8TvL32n3bexd8emUwiXs8XqKjhqzvoRFvghnvSN. Here's an example using the Avalanche Web Wallet.

## Cryptography in Ethereum Virtual Machine​

Avalanche nodes support the full Ethereum Virtual Machine (EVM) and precisely duplicate all of the cryptographic constructs used in Ethereum. This includes the Keccak hash function and the other mechanisms used for cryptographic security in the EVM.

## Cryptography in Other Virtual Machines​

Since Avalanche is an extensible platform, we expect that people will add additional cryptographic primitives to the system over time.