 | 1 | initial version |
EllipticCurve in Sage has 2 or 5 parameters. For 5 parameters EllipticCurve([a,b,c,d,e]) means: y^2 + axy + cy = x^3 + bx^2 + d*x + e
Ed25519 (for example for Monero) is defined by −x2+y2=1−121665121666x2y2
There exists part x^2y^2 which not exists in Sage EllipticCurve parameters. What means "twisted"? How define 121665121666 ? I must multiply 121665 bu inverted 121666 in field? Field is with prime p=2255−19
| | 2 | None |
EllipticCurve in Sage has 2 or 5 parameters. For 5 parameters EllipticCurve([a,b,c,d,e]) means: y^2 + axy + cy = x^3 + bx^2 + d*x + e
Ed25519 (for example for Monero) is defined by −x2+y2=1−121665121666x2y2
There exists part x^2y^2 which not exists in Sage EllipticCurve parameters.
What means "twisted"?
How define 121665121666 ? I must multiply 121665 bu inverted 121666 in field? Field is with prime p=2255−19p=2255−19
| | 3 | None |
EllipticCurve in Sage has In Sage, EllipticCurve takes 2 or 5 parameters. parameters.
For 5 parameters EllipticCurve([a,b,c,d,e]) means:
parameters, EllipticCurve([a, b, c, d, e]) means:
y^2 + .axy a*x*y + cy c*y = x^3 + bx^2 b*x^2 + d*x + e
The curve Ed25519 (for example for Monero) is defined by −x2+y2=1−121665121666x2y2by
−x2+y2=1−121665121666x2y2
There exists part x^2y^2 This equation has a term in x2y2 which does not exists exist in Sage EllipticCurve parameters.
EllipticCurve parameters.
What means "twisted"?
does "twisted" mean?
How to define 121665121666 ? ?
I must multiply 121665 bu but inverted 121666 in field? Field is with prime p=2255−19p=2255−19.
Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.
