Secp256k1.jl

Point{T<:xField}

Point{T<:xField}(𝑥::T, 𝑦::T) represents a point in an scep256k1 field. xField is equal to Union{FieldElement, Infinity}

KeyPair{T}(𝑑::BigInt, 𝑄::Point) represents a private-public key pair in which

• 𝑑 is the secret key
• 𝑄 the public key

= T represents key pair scheme

KeyPair{:ECDSA}(𝑑::Integer) instantiate a KeyPair such as 𝑄 = 𝑑𝐺 and where

• {𝑑 ∈ ℤ | 𝑑 < 𝑛}
• 𝐺 is the secp256k1 base point.
• 𝑛 is the order of 𝐺

Signature{T}(𝑟::BigInt, 𝑠::BigInt) represents a following scheme T

• T can be set to :ECDSA

serialize(P::Point; compressed::Bool) -> Vector{UInt8}

Serialize a Point to its SEC format

• compressed=true by default

Point(io::IOBuffer) -> Point

Parse a SEC binary to an Point

serialize(x::Signature) -> Vector{UInt8}

Serialize a Signature to DER format

Signature(x::Vector{UInt8}; scheme::Symbol) -> Signature

Parse a DER binary to a Signature{scheme}

• scheme is optional and set to :ECDSA by default.

ECDSA.sign(kp::KeyPair{:ECDSA}, 𝑧::Integer) -> Signature{:ECDSA}

Returns a Signature{:ECDSA} for a given KeyPair{:ECDSA} and data 𝑧 and in which 𝑠 = (𝑧 + 𝑟𝑑) / 𝑘, 𝑘 being a random integer.

verify(𝑄::Point, 𝑧::Integer, sig::Signature{:ECDSA}) -> Bool

Returns true if Signature{:ECDSA} is valid for 𝑧 given 𝑄, false if not