Questions tagged [secp256k1]

This tag should be used for anything related to the secp256k1 algorithm used for Bitcoin's public key cryptography.

secp256k1 refers to the parameters of the elliptic curve used in Bitcoin's public-key cryptography and is defined in Standards for Efficient Cryptography (SEC) (Certicom Research, http://www.secg.org/sec2-v2.pdf).

Secp256k1 is a Koblitz Curve

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Performing Point Division on secp256k1 Elliptic Curve for odd Integers

I'm exploring elliptic curve cryptography, specifically on the secp256k1 curve. I've come across the concept of point division by integers using scale multiplication, my question is how can I devide a point by $7$, Is there a standard method or…
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Help determine points on P-256 lie on the actual curve

The curve equation for P-256 is: NIST P-256 y^2 = x^3-3x+41058363725152142129326129780047268409114441015993725554835256314039467401291 Below I am generating key data, including the secret key "d". Can someone please help me: 1-Convert and plug in…
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Is it possible to calculate and unknown point on an EC

I aim to find the answer to what is $X$ on an EC over a finite field where $A + X = B$ and $A$ and $B$ are known. I’m currently learning with secp256k1 so the simplified equation for the curve is $y^2 = x^3 + 7$. I am trying to figure this out so I…
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substract points on secp256k - result as moved to N-1

I must perform calculate of substract two points: Let $G$ be the generator point and; $P_1 =[1]G = (x_1,y_1)$ $P_2 = [2]G = (x_2,y_2)$, When I will subtract $P_1 - P_2$ -> I will move Point to N-1 with negative $y_1$ of $P_1$ second: Let $G$ be the…
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Security of SecretKey addition and PublicKey multiplication in secp256k1

I understand that: $[a+b]G = [a]G + [b]G$ where $a$ and $b$ are secret keys. (See: Is there a relationship between the secp256k1 public key of the sum of two private keys, and the public keys of those original two private keys?) If, under the…
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