Jubjub Curve

This crate provides jubjub curve arithmetic and also supports fully no_std and parity-scale-codec.

Specification

The Jubjub curve is one of twisted edwards curve.

• Twisted Edwards Curve

$$ -x^2 + y^2 \equiv 1 + dx^2y^2 $$

• Addition Law

$$ (x_3 = \frac{x_1y_2 + y_1x_2}{1 + dx_1x_2y_1y_2}, y_3 = \frac{y_1y_2 - x_1x_2}{1 - dx_1x_2y_1y_2}) $$

• Params

Name	Value
$q$	0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001
$r$	0xe7db4ea6533afa906673b0101343b00a6682093ccc81082d0970e5ed6f72cb7
$d$	$-(\frac{10240}{10241})$ = 0x2a9318e74bfa2b48f5fd9207e6bd7fd4292d7f6d37579d2601065fd6d6343eb1

Test

$ cargo test