Code:
A point P=(x,y) on the elliptic curve in the Montgomery form By^2 = x^3 + Ax^2 + x can be represented in Montgomery coordinates P=(X:Z), where P=(X:Z) are projective coordinates and x=X/Z for Z!=0
Topic: This message was too old and has been purged - page 5. (Read 9002 times)
Was just reading more on the Montgomery curve under the arithmetic section, I think we are safe to "ignore" z, him saying z=1 allows us to say X=x and that's all we need the z for.
Quote
You can start multiple such chains beginning at x=9, and add the resulting x values
using the addition algorithm from http://en.wikipedia.org/wiki/Montgomery_curve (Montgomery arithmetic section).
Note, that the x value, is the value you get at the end of such calculation-chain, and the z value is always 1.
using the addition algorithm from http://en.wikipedia.org/wiki/Montgomery_curve (Montgomery arithmetic section).
Note, that the x value, is the value you get at the end of such calculation-chain, and the z value is always 1.
wHat is meant by multiple chains? aand where is this 'z'?
I don't know what he is referring to by 'multiple chains'
Another user suggested 'z' might be Standard_Score/Standard_Deviation although I don't think that is correct
No, I am substituting the equation back into itself. Please check if I was wrong.
Are you using standard division where the / is or are you using "multiplication by the modular inverse"
http://cs.brown.edu/courses/cs007/modmult/node2.html
Should we be knowing what 'p' is or is this another arbitrary number like 'a'?
(basically all operations modulo some sumber p)
lol, sorry, I did a mistake. I simply substituted the equation back in after each process. I skipped adding it.
understood the question better now. But still have things unclear.
Quote
You can start multiple such chains beginning at x=9, and add the resulting x values
using the addition algorithm from http://en.wikipedia.org/wiki/Montgomery_curve (Montgomery arithmetic section).
Note, that the x value, is the value you get at the end of such calculation-chain, and the z value is always 1.
using the addition algorithm from http://en.wikipedia.org/wiki/Montgomery_curve (Montgomery arithmetic section).
Note, that the x value, is the value you get at the end of such calculation-chain, and the z value is always 1.
what is meant by multiple chains? aand where is this 'z'?
and is this the reqd formula?
No, I am substituting the equation back into itself. Please check if I was wrong.
Are you using standard division where the / is or are you using "multiplication by the modular inverse"
http://cs.brown.edu/courses/cs007/modmult/node2.html
Should we be knowing what 'p' is or is this another arbitrary number like 'a'?
(basically all operations modulo some sumber p)
Evil-Knievel is this algorithm related to your project over at https://bitcointalksearch.org/topic/--929196 ?
I was looking at curve25519 and notice that it's starting parameter is x=9
That I cannot answer. I'm currently doing some reading on the curves and trying to see what I can get out of it. (so far not much
)
I was looking at curve25519 and notice that it's starting parameter is x=9
I read that, but what is 'a' exactly? If it is an unknown constant, then how will I find when the said result will occur. Is it 1? Or does the value of a has no impact on the result (but it certainly does)? Or on calculation the value of 'a' will be given?
I think I did not understand the question properly.
I think I did not understand the question properly.
That I cannot answer. I'm currently doing some reading on the curves and trying to see what I can get out of it. (so far not much
)But I know nothing about coding. I am trying kind of mathematically. It is okay, right?
Quote
Hereby I am offering a bounty of 30 BTC
to the first one solving the following mathematical problem either mathematically or using an algorithm:
to the first one solving the following mathematical problem either mathematically or using an algorithm:
I just need OP to tell me whether the results I got are correct or not to proceed any further. I want to be sure whether I am in the correct understanding of it or not.
Thanks for the link. Now i think 'a' is a value input by the user.
Mathematically as long as the "a" value remains constant during each new iteration then the effect it has is constant - it's not unnecessary, it just doesn't need to be evaluated for, so it should be fine to set as any integer and leave it alone.
As got the results you got, I don't think you are substituting the equation back into itself for each new x value, I think you are just increasing x by 1 and then repeating the calculation. What you want to be doing is leaving x constant (in this case 9) and then reevaluating each iteration until your new x value matches the next incremented integer value of x (in this case 10).
If I've misunderstood anything, feel free to correct me. That's just how I understand it.
Evil-Knievel is this algorithm related to your project over at https://bitcointalksearch.org/topic/--929196 ?
I was looking at curve25519 and notice that it's starting parameter is x=9
That I cannot answer. I'm currently doing some reading on the curves and trying to see what I can get out of it. (so far not much)
I was looking at curve25519 and notice that it's starting parameter is x=9
I read that, but what is 'a' exactly? If it is an unknown constant, then how will I find when the said result will occur. Is it 1? Or does the value of a has no impact on the result (but it certainly does)? Or on calculation the value of 'a' will be given?
I think I did not understand the question properly.
I think I did not understand the question properly.
That I cannot answer. I'm currently doing some reading on the curves and trying to see what I can get out of it. (so far not much
)But I know nothing about coding. I am trying kind of mathematically. It is okay, right?
Quote
Hereby I am offering a bounty of 30 BTC
to the first one solving the following mathematical problem either mathematically or using an algorithm:
to the first one solving the following mathematical problem either mathematically or using an algorithm:
I just need OP to tell me whether the results I got are correct or not to proceed any further. I want to be sure whether I am in the correct understanding of it or not.
Thanks for the link. Now i think 'a' is a value input by the user.
Evil-Knievel is this algorithm related to your project over at https://bitcointalksearch.org/topic/--929196 ?
I was looking at curve25519 and notice that it's starting parameter is x=9
That I cannot answer. I'm currently doing some reading on the curves and trying to see what I can get out of it. (so far not much)
I was looking at curve25519 and notice that it's starting parameter is x=9
I read that, but what is 'a' exactly? If it is an unknown constant, then how will I find when the said result will occur. Is it 1? Or does the value of a has no impact on the result (but it certainly does)? Or on calculation the value of 'a' will be given?
I think I did not understand the question properly.
I think I did not understand the question properly.
That I cannot answer. I'm currently doing some reading on the curves and trying to see what I can get out of it. (so far not much
) What is a?
What is a? What is z? Is both user defined?
a and z are constant of the Montgomery curve algorithm (http://en.wikipedia.org/wiki/Montgomery_curve)
the z value is always 1.
I read that, but what is 'a' exactly? If it is an unknown constant, then how will I find when the said result will occur. Is it 1? Or does the value of a has no impact on the result (but it certainly does)? Or on calculation the value of 'a' will be given?
I think I did not understand the question properly.
Seems like someone found a solution, https://blockchain.info/address/18b2no9rBkovhv5gf3vkd5VQ9MKxHvqSzu
the money is not there anymore.
Has the winner been found or you are still looking for an answer?the money is not there anymore.
Please update the OP. And if the bounty is still on then where are the coins?
2 posts below that I offer insight into how that happened: https://bitcointalksearch.org/topic/m.10317539
Also, that transaction happened less than 24 hours ago during which time OP hasn't even logged into the forums yet.
Spam your signature somewhere else.
Seems like someone found a solution, https://blockchain.info/address/18b2no9rBkovhv5gf3vkd5VQ9MKxHvqSzu
the money is not there anymore.
Has the winner been found or you are still looking for an answer?the money is not there anymore.
Please update the OP. And if the bounty is still on then where are the coins?
What is a?
What is a? What is z? Is both user defined?
a and z are constant of the Montgomery curve algorithm (http://en.wikipedia.org/wiki/Montgomery_curve)
the z value is always 1.
thanks^ 
What is a?
I got this one: (I am assuming a=1, since idk what it is)
Can somone tell me I am in the right path or what?
What is a?
I got this one: (I am assuming a=1, since idk what it is)
Code:
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1.947966608
0.148650418
1.373732866
0.033614388
7.171330734
1.487449424
0.052574085
4.480975054
0.794551761
0.017630643
13.92127524
3.19825395
0.461468106
0.200417306
0.926338553
0.001951542
127.8528631
31.7093509
7.662314697
1.612909058
0.076237339
2.995450049
0.409083845
0.268767926
0.597045328
0.088769605
2.527762054
0.289679985
0.527272362
0.136903124
1.521486117
0.05874189
3.979115237
0.664215122
0.055826252
4.202597294
0.722282519
0.035288256
6.817798598
1.396950194
0.037257838
6.44240823
1.300692424
Can somone tell me I am in the right path or what?
1,000 results in tiny text
[Code ] box will get a scroll bar rather than a blob of tiny text
So may OP share the winner?
There isn't a winner.
So may OP share the winner?
Seems like someone found a solution, https://blockchain.info/address/18b2no9rBkovhv5gf3vkd5VQ9MKxHvqSzu
the money is not there anymore.
the money is not there anymore.
The funds from that address got used to fund another of his projects it seems, he likely just used Armory and it chose those coins to send because they are all in his wallet. I'd be willing to bet this bounty is still open as Evil-Knievel has much more in his wallet than just that.
1PayC5RCF2aXZ6Rjg2DpVM73gaQbndiZVX is the payout address for his "nxt-miner"
https://bitcointalksearch.org/topic/--929196
Seems like someone found a solution, https://blockchain.info/address/18b2no9rBkovhv5gf3vkd5VQ9MKxHvqSzu
the money is not there anymore.
the money is not there anymore.
But OP still doesn't post anything here
I want to ask :
Are we looking for simplify the formula or looking x value ?
Why x must be start from 9 ?
If we are looking for x value, How "a" value (coefficient from x variable ) on denominator ?
Seems like someone found a solution, https://blockchain.info/address/18b2no9rBkovhv5gf3vkd5VQ9MKxHvqSzu
the money is not there anymore.
the money is not there anymore.
I love all these bounties that Evil-Knievel puts up. Why do you put up all these bounties?
If you want to make money, you have to invest money or knowledge.
I can bet that he has some interesting idea to get some coins in a way we cannot think of. And I am almost sure that he will not actually share with us, especially seeing this big bounty.
I love all these bounties that Evil-Knievel puts up. Why do you put up all these bounties?
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