# Questions tagged [elliptic-curve]

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### Obtaining other portion of my private key

I have only a partial private key due to hard drive damage. I have the full public key I plan to extrapolate back on the secp256k1 elliptic curve to locate the full private key. What are my chances of ...
47 views

### Is it possible to reduce the field size without disrupting generation of public keys?

I have a curious question, i am aware of the curve parameters of secp256k1. i was wondering if its possible to reduce to field to a 130 bit or lower without disrupting the actual functionality.. what ...
29 views

### How to know the number of digits in the decimals place in division results (ECC SECP256K1)?

p - is the order of the finite field n - is the order of the group. Private keys can range from 1 (the generator point G) to n - 1. All the private keys (Priv) lie in certain ranges of 2. 2^a < ...
60 views

### Low vs High R value signatures

I have a conceptual understanding of the R value in so far as it can fall either above or below the X axis in the elliptical curve and that positive R values use an extra byte in the signature to ...
• 313
93 views

### Why do we have "circular behavior" when working with EC over finite field and what makes some point a "turning point"?

Thank you all very much in advance! I will explain best with an example what is not clear to me. Consider the elliptic curve a = 1, b = 2, p = 11 of order 16. Also let's consider the "opposite&...
• 980
1 vote
151 views

### Is it possible to calculate the correct y coordinate from x coordinate given only x coordinate without any prefix

If I have a x coordinate without any prefix such as 03 or 02 fff97bd5755eeea420453a14355235d382f6472f8568a18b2f057a1460297556 will it be possible to compute the correct y coordinate that would be ...
• 13
86 views

### What am I doing wrong in calculating point addition? Is something redundant in the formula I am using?

First of all, just to note that I am having trouble with this MOD math, so for some this question might be basic, but in my case it caused a lot of confusion. Just for the context. In my previous ...
• 980
196 views

### What is the relationship between parity and the sign of the points on the elliptic curve?

EDIT: I found out that the answer on the second question is just to do 10 * -G, that is, 10 * G(X, -Y) instead of -10 * G. However, I still do not understand relation between parity and the sign of ...
• 980