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Class BSV::Primitives::PointInFiniteField

Inherits: Object

A point (x, y) in a finite field over the secp256k1 field prime P.

Used as a share in Shamir's Secret Sharing Scheme. Both coordinates are reduced modulo P on construction so they always lie in [0, P).

Serialisation uses Base58 for each coordinate, joined by a dot, matching the format used by the Go and TypeScript reference SDKs.

@example 

point = PointInFiniteField.new(OpenSSL::BN.new(10), OpenSSL::BN.new(20))
str   = point.to_s   #=> "C.N"
back  = PointInFiniteField.from_string(str)

Constants

P

The secp256k1 field prime P.

Attributes

x [R]

  • @return [OpenSSL::BN] the x-coordinate, reduced mod P

y [R]

  • @return [OpenSSL::BN] the y-coordinate, reduced mod P

Public Class Methods

from_string(str)

Deserialise from a "Base58(x).Base58(y)" string. - @param str [String] dot-separated Base58-encoded coordinates - @raise [ArgumentError] if the string does not contain exactly one dot - @return [PointInFiniteField]

Public Instance Methods

initialize(x, y)

  • @param x [OpenSSL::BN] the x-coordinate
  • @param y [OpenSSL::BN] the y-coordinate
  • @return [PointInFiniteField] a new instance of PointInFiniteField

to_s()

Serialise to Base58(x) + "." + Base58(y). - @return [String] dot-separated Base58-encoded coordinates