As far as I know Maxima isn't involved -- I don't think that isogenies
uses Maxima.
Victor
On Aug 3, 6:58 pm, Simon King wrote:
> On 4 Aug., 00:29, VictorMiller wrote:
> ...
>
>
>
>
>
> > phi = E.isogeny([E(0),P,-P])
> > for i in xrange(20): timeit('phi(Q)')
>
> > 625 loops, best of 3: 1.17 m
Hi Victor,
On Tue, Aug 4, 2009 at 8:29 AM, VictorMiller wrote:
>
> I was trying to find out how fast a calculation was (applying an
> isogeny of degree on an elliptic curve over
> a finite field). At first I noticed that when I repeated a timeit
> call with the same expression I was getting mono
On 4 Aug., 00:29, VictorMiller wrote:
...
> phi = E.isogeny([E(0),P,-P])
> for i in xrange(20): timeit('phi(Q)')
>
> 625 loops, best of 3: 1.17 ms per loop
> 625 loops, best of 3: 1.75 ms per loop
> 125 loops, best of 3: 2.1 ms per loop
> 125 loops, best of 3: 2.22 ms per loop
> 125 loops, bes
On Mon, Aug 3, 2009 at 4:37 PM, VictorMiller wrote:
>
> As far as I know Maxima isn't involved -- I don't think that isogenies
> uses Maxima.
You can prove Maxima isn't involved by doing the computation then
exiting sage and seeing if it says "Exiting Maxima" when Sage is
quiting.
William
>
> V
Here are the commands I used:
qq = [z for z in primes(10,10+100) if (z%12) == 11]
E = EllipticCurve(j=GF(qq[0])(1728))
# E has qq[0]+1 points over GF(qq[0])
factor(qq[0]+1)
P = ((qq[0]+1)//3)*E.random_element()
K = [E(0),P,-P]
phi = E.isogeny(K)
for i in xrange(20): timeit('phi(Q)')
On
Hi!
On 4 Aug., 02:31, VictorMiller wrote:
> Here are the commands I used:
>
> qq = [z for z in primes(10,10+100) if (z%12) == 11]
> E = EllipticCurve(j=GF(qq[0])(1728))
> # E has qq[0]+1 points over GF(qq[0])
> factor(qq[0]+1)
> P = ((qq[0]+1)//3)*E.random_element()
> K = [E(0),P,-P]
> p
Sorry, here's the definition of Q:
Q = E.random_element()
Victor
On Aug 3, 8:45 pm, Simon King wrote:
> Hi!
>
> On 4 Aug., 02:31, VictorMiller wrote:
>
> > Here are the commands I used:
>
> > qq = [z for z in primes(10,10+100) if (z%12) == 11]
> > E = EllipticCurve(j=GF(qq[0])(1728))
Hi Victor,
On 4 Aug., 03:10, VictorMiller wrote:
> Sorry, here's the definition of Q:
>
> Q = E.random_element()
Thanks! So, probably it is unrelated with the ticket I mentioned.
Also note that the computation time does not increase monotonely:
sage: for i in xrange(20): timeit('phi(Q)')
:
On Mon, Aug 3, 2009 at 6:10 PM, VictorMiller wrote:
>
> Sorry, here's the definition of Q:
>
> Q = E.random_element()
>
> Victor
>
> On Aug 3, 8:45 pm, Simon King wrote:
>> Hi!
>>
>> On 4 Aug., 02:31, VictorMiller wrote:
>>
>> > Here are the commands I used:
>>
>> > qq = [z for z in primes(1
> The above change is very sensible, since we know that outP is on
> self.__E2, so should directly create a point on E2 and not check again
> that our point is really on E2 (which is very expensive).
I agree that we should make the change:
else:
outP = self.__E2(outP)
to
On Mon, Aug 3, 2009 at 7:23 PM, Dan Shumow wrote:
>> The above change is very sensible, since we know that outP is on
>> self.__E2, so should directly create a point on E2 and not check again
>> that our point is really on E2 (which is very expensive).
>
> I agree that we should make the change:
>
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