Mixing
how to find the generator of elliptic curve using matlab
0
$begingroup$
my question is that
my Matlab program for elliptic curve generated all points which satisfy the elliptic curve equation
now how to find the generator which generates all the points
example:
ecs(1,0,17)
ans =
(0 0)
(0 0)
(1 6)
(1 11)
( 3 8)
( 3 9)
(4 0)
(6 1)
(6 16)
(11 4)
(11 13)
(13 0)
(14 2)
(14 15)
(16 7)
(16 10)
elliptic-curves cryptography
edited Jan 8 at 19:08
tinlyx
95021118
asked Jan 8 at 17:58
ijazijaz
13
$endgroup$
add a comment |
0
$begingroup$
my question is that
my Matlab program for elliptic curve generated all points which satisfy the elliptic curve equation
now how to find the generator which generates all the points
example:
ecs(1,0,17)
ans =
(0 0)
(0 0)
(1 6)
(1 11)
( 3 8)
( 3 9)
(4 0)
(6 1)
(6 16)
(11 4)
(11 13)
(13 0)
(14 2)
(14 15)
(16 7)
(16 10)
elliptic-curves cryptography
edited Jan 8 at 19:08
tinlyx
95021118
asked Jan 8 at 17:58
ijazijaz
13
$endgroup$
$begingroup$
plz any my question
$endgroup$
– ijaz
Jan 8 at 18:02
$begingroup$
Easiest way is to try each point and see which works
$endgroup$
– Wojowu
Jan 8 at 19:18
1
$begingroup$
Computing (generators of) the mordell-weil group of an elliptic curve is a hard problem in general. I doubt there is an existing matlab implementation, and implementing one would be a long task, instead I would suggest you use an existing non-matlab program such as homepages.warwick.ac.uk/~masgaj/mwrank or SageMath doc.sagemath.org/html/en/reference/curves/sage/schemes/…
$endgroup$
– Alex J Best
Jan 9 at 7:51
add a comment |
0
0
0
$begingroup$
my question is that
my Matlab program for elliptic curve generated all points which satisfy the elliptic curve equation
now how to find the generator which generates all the points
example:
ecs(1,0,17)
ans =
(0 0)
(0 0)
(1 6)
(1 11)
( 3 8)
( 3 9)
(4 0)
(6 1)
(6 16)
(11 4)
(11 13)
(13 0)
(14 2)
(14 15)
(16 7)
(16 10)
elliptic-curves cryptography
edited Jan 8 at 19:08
tinlyx
95021118
asked Jan 8 at 17:58
ijazijaz
13
$endgroup$
my question is that
my Matlab program for elliptic curve generated all points which satisfy the elliptic curve equation
now how to find the generator which generates all the points
example:
ecs(1,0,17)
ans =
(0 0)
(0 0)
(1 6)
(1 11)
( 3 8)
( 3 9)
(4 0)
(6 1)
(6 16)
(11 4)
(11 13)
(13 0)
(14 2)
(14 15)
(16 7)
(16 10)
elliptic-curves cryptography
elliptic-curves cryptography
edited Jan 8 at 19:08
tinlyx
95021118
asked Jan 8 at 17:58
ijazijaz
13
edited Jan 8 at 19:08
tinlyx
95021118
asked Jan 8 at 17:58
ijazijaz
13
edited Jan 8 at 19:08
tinlyx
95021118
edited Jan 8 at 19:08
tinlyx
95021118
edited Jan 8 at 19:08
tinlyx
95021118
95021118
asked Jan 8 at 17:58
ijazijaz
13
asked Jan 8 at 17:58
ijazijaz
13
asked Jan 8 at 17:58
ijazijaz
13
13
$begingroup$
plz any my question
$endgroup$
– ijaz
Jan 8 at 18:02
$begingroup$
Easiest way is to try each point and see which works
$endgroup$
– Wojowu
Jan 8 at 19:18
1
$begingroup$
Computing (generators of) the mordell-weil group of an elliptic curve is a hard problem in general. I doubt there is an existing matlab implementation, and implementing one would be a long task, instead I would suggest you use an existing non-matlab program such as homepages.warwick.ac.uk/~masgaj/mwrank or SageMath doc.sagemath.org/html/en/reference/curves/sage/schemes/…
$endgroup$
– Alex J Best
Jan 9 at 7:51
add a comment |
$begingroup$
plz any my question
$endgroup$
– ijaz
Jan 8 at 18:02
$begingroup$
Easiest way is to try each point and see which works
$endgroup$
– Wojowu
Jan 8 at 19:18
1
$begingroup$
Computing (generators of) the mordell-weil group of an elliptic curve is a hard problem in general. I doubt there is an existing matlab implementation, and implementing one would be a long task, instead I would suggest you use an existing non-matlab program such as homepages.warwick.ac.uk/~masgaj/mwrank or SageMath doc.sagemath.org/html/en/reference/curves/sage/schemes/…
$endgroup$
– Alex J Best
Jan 9 at 7:51
$begingroup$
plz any my question
$endgroup$
– ijaz
Jan 8 at 18:02
$begingroup$
plz any my question
$endgroup$
– ijaz
Jan 8 at 18:02
$begingroup$
Easiest way is to try each point and see which works
$endgroup$
– Wojowu
Jan 8 at 19:18
$begingroup$
Easiest way is to try each point and see which works
$endgroup$
– Wojowu
Jan 8 at 19:18
1
1
$begingroup$
Computing (generators of) the mordell-weil group of an elliptic curve is a hard problem in general. I doubt there is an existing matlab implementation, and implementing one would be a long task, instead I would suggest you use an existing non-matlab program such as homepages.warwick.ac.uk/~masgaj/mwrank or SageMath doc.sagemath.org/html/en/reference/curves/sage/schemes/…
$endgroup$
– Alex J Best
Jan 9 at 7:51
$begingroup$
Computing (generators of) the mordell-weil group of an elliptic curve is a hard problem in general. I doubt there is an existing matlab implementation, and implementing one would be a long task, instead I would suggest you use an existing non-matlab program such as homepages.warwick.ac.uk/~masgaj/mwrank or SageMath doc.sagemath.org/html/en/reference/curves/sage/schemes/…
$endgroup$
– Alex J Best
Jan 9 at 7:51
add a comment |
0
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$begingroup$
plz any my question
$endgroup$
– ijaz
Jan 8 at 18:02
$begingroup$
Easiest way is to try each point and see which works
$endgroup$
– Wojowu
Jan 8 at 19:18
1
$begingroup$
Computing (generators of) the mordell-weil group of an elliptic curve is a hard problem in general. I doubt there is an existing matlab implementation, and implementing one would be a long task, instead I would suggest you use an existing non-matlab program such as homepages.warwick.ac.uk/~masgaj/mwrank or SageMath doc.sagemath.org/html/en/reference/curves/sage/schemes/…
$endgroup$
– Alex J Best
Jan 9 at 7:51