module Noble::Ed25519::Curve
Overview
ed25519 is Twisted Edwards curve with equation of
−x² + y² = 1 − (121665/121666) * x² * y²
Defined in:
noble-ed25519.crConstant Summary
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A =
BigInt.new(-1)
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Param: a
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D =
BigInt.new("37095705934669439343138083508754565189542113879843219016388785533085940283555")
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Equal to -121665/121666 over finite field. Negative number is P - number, and division is invert(number, P)
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Gx =
BigInt.new("15112221349535400772501151409588531511454012693041857206046113283949847762202")
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Base point (x, y) aka generator point
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Gy =
BigInt.new("46316835694926478169428394003475163141307993866256225615783033603165251855960")
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H =
BigInt.new(8)
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Cofactor
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L =
CURVE_ORDER
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Subgroup order: how many points ed25519 has
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N =
CURVE_ORDER
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P =
(Noble::Ed25519::Two ** BigInt256) - (BigInt.new(19))
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Finite field 𝔽p over which we'll do calculations