SECP256K1

In short

Elliptic curve used on Bitcoin for ECDSA and Schnorr digital signatures.

Detailed explanation
Name given to a specific elliptical curve used in the Bitcoin protocol for the implementation of the ECDSA (Elliptic Curve Digital Signature Algorithm) and Schnorr digital signature algorithms. The secp256k1 curve was chosen by the inventor of Bitcoin, Satoshi Nakamoto. It has some interesting properties, notably performance benefits.
The use of secp256k1 in Bitcoin means that each private key (a random 256-bit number) is mapped to a corresponding public key through addition and doubling of the private key's point by the secp256k1 curve's generator point. This operation is easy to perform in one direction but practically impossible to reverse, which forms the basis of the security of digital signatures on Bitcoin.
The secp256k1 curve is specified by the elliptical curve equation , meaning it has coefficients equal to and equal to in the general form of an elliptical curve equation . secp256k1 is defined over a finite field whose order is a very large prime number, specifically . The curve also has a group order, which is the number of distinct points on the curve, a predefined generator point (or point ), which is used in cryptographic operations to generate key pairs, and a cofactor equal to .
► “SEC” stands for “Standards for Efficient Cryptography”. “P256” indicates that the curve is defined over a field where is a 256-bit prime number. “K” refers to the name of its inventor, Neal Koblitz. Finally, “1” indicates that this is the first version of this curve.
TermDefinition
51% attack
An attack where a malicious actor controls more than half of the mining hash power, allowing them to manipulate transactions, notably by performing double spends.
Account
In an HD wallet, a derivation level (depth 3) allowing hierarchical organization of keys and addresses.
Activation method
The process by which the Bitcoin community decides to activate a soft fork, seeking consensus among miners and users to avoid a blockchain split.
Adaptor signature
A cryptographic technique linking a signature to a secret, such that publishing the signature reveals the secret. Useful for atomic swaps without a trusted intermediary.
Addr
An old Bitcoin network message that allowed communicating IP addresses of nodes accepting connections. Replaced by addrv2 (BIP155) to support longer address formats.
Addr.dat
An old file in Bitcoin Core that stored information about network peers. Replaced by peers.dat since version 0.7.0.
Address reuse
A discouraged practice of using the same Bitcoin address multiple times to receive payments, which harms privacy by allowing funds to be traced.
Address spoofing
An attack where a malicious actor creates an address closely resembling the victim's to deceive them and divert their payments.
Addrv2
A new network message format (BIP155) allowing the broadcasting of Bitcoin node addresses. Supports longer addresses such as Tor v3 or I2P.
Agorism
A libertarian political philosophy advocating economic action outside of state control (counter-economy) to progressively undermine state power.
Air cooling
A cooling system for mining machines using fans to dissipate heat. The most widespread and least expensive method.
Altcoin
Designates any cryptocurrency other than Bitcoin. A contraction of alternative and coin.
Aluvm
A virtual machine designed for deterministic execution of smart contracts, notably within the context of the RGB protocol on Bitcoin.
Analysis heuristic
An empirical method used to trace Bitcoin flows on the blockchain based on observable characteristics within transactions.
Ancestor mining
A principle whereby a miner selects transactions taking into account the fees of parent transactions, not only their own fees. Also called CPFP.
Anchor
In the RGB protocol, a set of data proving the inclusion of a commitment in a Bitcoin transaction, without publicly revealing its content.
Anchor outputs
A mechanism on Lightning allowing adjustment of the fees of a commitment transaction after its creation, to ensure quick channel closure.
Anchors.dat
A Bitcoin Core file storing IP addresses of nodes the client was connected to before shutdown, to facilitate reconnection on restart.
Anonsets (anonymity sets)
Indicators measuring the degree of privacy of a UTXO by counting the number of indistinguishable UTXOs in a set, typically after a coinjoin.
Anyprevout (apo)
A proposal (BIP118) adding new SigHash flags allowing the creation of signatures that do not cover any specific input of the transaction.
51% attack
An attack where a malicious actor controls more than half of the mining hash power, allowing them to manipulate transactions, notably by performing double spends.
Account
In an HD wallet, a derivation level (depth 3) allowing hierarchical organization of keys and addresses.
Activation method
The process by which the Bitcoin community decides to activate a soft fork, seeking consensus among miners and users to avoid a blockchain split.
Adaptor signature
A cryptographic technique linking a signature to a secret, such that publishing the signature reveals the secret. Useful for atomic swaps without a trusted intermediary.
Addr
An old Bitcoin network message that allowed communicating IP addresses of nodes accepting connections. Replaced by addrv2 (BIP155) to support longer address formats.
Addr.dat
An old file in Bitcoin Core that stored information about network peers. Replaced by peers.dat since version 0.7.0.
Address reuse
A discouraged practice of using the same Bitcoin address multiple times to receive payments, which harms privacy by allowing funds to be traced.
Address spoofing
An attack where a malicious actor creates an address closely resembling the victim's to deceive them and divert their payments.
Addrv2
A new network message format (BIP155) allowing the broadcasting of Bitcoin node addresses. Supports longer addresses such as Tor v3 or I2P.
Agorism
A libertarian political philosophy advocating economic action outside of state control (counter-economy) to progressively undermine state power.
Air cooling
A cooling system for mining machines using fans to dissipate heat. The most widespread and least expensive method.
Altcoin
Designates any cryptocurrency other than Bitcoin. A contraction of alternative and coin.
Aluvm
A virtual machine designed for deterministic execution of smart contracts, notably within the context of the RGB protocol on Bitcoin.
Analysis heuristic
An empirical method used to trace Bitcoin flows on the blockchain based on observable characteristics within transactions.
Ancestor mining
A principle whereby a miner selects transactions taking into account the fees of parent transactions, not only their own fees. Also called CPFP.
Anchor
In the RGB protocol, a set of data proving the inclusion of a commitment in a Bitcoin transaction, without publicly revealing its content.
Anchor outputs
A mechanism on Lightning allowing adjustment of the fees of a commitment transaction after its creation, to ensure quick channel closure.
Anchors.dat
A Bitcoin Core file storing IP addresses of nodes the client was connected to before shutdown, to facilitate reconnection on restart.
Anonsets (anonymity sets)
Indicators measuring the degree of privacy of a UTXO by counting the number of indistinguishable UTXOs in a set, typically after a coinjoin.
Anyprevout (apo)
A proposal (BIP118) adding new SigHash flags allowing the creation of signatures that do not cover any specific input of the transaction.