DarkCurves.Curve_secp256k1 — TypeSECP256k1 curve y^2 = x^3 + 7 over the field of integers modulo 2^256 - 2^32 - 2^9 - 2^8 - 2^7 - 2^6 - 2^4 - 1 with the order (little-endian) 0xFFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE BAAEDCE6 AF48A03B BFD25E8C D0364141.
DarkCurves.EllipticCurve — TypeAbstract type for an elliptic curve "bundle" that includes a point type, a scalar type, and operations on them.
DarkCurves.EllipticCurvePoint — TypeAbstract type of a curve point.
DarkCurves.batch_mul — MethodReturns points .* coeff.
DarkCurves.curve_point_type — Methodcurve_point_type(::Type{<:EllipticCurve})Returns the type of a curve point (a subtype of EllipticCurvePoint) for an object of type EllipticCurve.
Objects of this type support zero(), iszero(), one(), rand(), +, -, ==, * (by a scalar type).
Base point is returned by one(), and infinity point by zero().
DarkCurves.curve_scalar_type — Methodcurve_scalar_type(::Type{<:EllipticCurve})Returns the type of an associated scalar for an object of type EllipticCurve. All operations with objects of this type are done modulo curve order.
Objects of this type support zero(), iszero(), one(), rand(), +, -, ==, * (by a scalar type or a point type), iseven(), isodd(), >>, inv(), divrem(), trailing_zeros(), DarkIntegers.num_bits().
DarkCurves.lin_comb — MethodCalculates a linear combination of curve points given an array of points and an array of coefficients.
DarkCurves.EndomorphismType4Curve — TypeA subtype of WeierstrassCurve for curves of the form y^2 = x^3 + b with the modulus p = 1 mod 3. These curves support an endomorphism type 4.
DarkCurves.StandardEllipticCurvePoint — TypeAbstract type for built-in curve point types parameterized by coordinate types.
DarkCurves.WeierstrassCurve — TypeA subtype of EllipticCurve for curves defined by an equation y^2 = x^3 + a * x + b.
DarkCurves.balanced_decomposition — MethodReturns k1, k2 such that k = k1 + k2 * l mod n.
DarkCurves.lin_comb_windowed — MethodLinear combination using Shamir's trick and a fixed window.