Questions tagged [math]

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6 votes
2 answers
613 views

How much entropy is lost alphabetising your mnemonics?

Yes I know this is a horrible idea and not BIP39 compliant, but please help satisfy my curiosity with this "thought experiment" and applied maths exercise. Two questions, one for 12 words, ...
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  • 395
1 vote
1 answer
67 views

Proof that blockchain converges to the longest chain [duplicate]

Is there a mathematical proof that shows that blockchain converges to the longest chain? It seems not obvious to me how a scattered group of nodes and transaction signals will eventually converge to a ...
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0 votes
3 answers
84 views

Why do private keys have a range limit?

I am reading about ECDSA, and I find that the private key must be in (0,n), with n = FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE BAAEDCE6 AF48A03B BFD25E8C D0364141. Is n the total number of points on the ...
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1 vote
0 answers
91 views

Elliptic Curve Point Addition Question

I am doing a school project about Bitcoin and more specifically point addition on the Elliptic Curve. I am very new to all this so please forgive my mistakes. I have been reading that when adding ...
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  • 11
0 votes
1 answer
43 views

How to calculate daily weekly monthly price change in percentage?

I am trying to match the binance's daily price change. I know it does provide 24h price change in percentage but the value I calculate is off no matter what. So I am asking binance API to give me ...
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0 votes
0 answers
48 views

Math behind base58 encode as implemented in the codebase

I am trying to understand the math behind the base58 encode as implemented at https://github.com/bitcoin/bitcoin/blob/master/src/base58.cpp. The way it is implemented in the codebase is quite ...
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3 votes
1 answer
196 views

Jimmy Song 'Programming Bitcoin' book math doubt

I guess this is a math question and not a bitcoin question, but I would have a hard time expressing the doubt in a math forum, whereas here, maybe someone who knows the book and has the right ...
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5 votes
1 answer
208 views

Are there risks to using the same private key for both ECDSA and Schnorr signatures?

I think I've seen a comment by Greg Maxwell about this but am having trouble finding it. I think there was some risk when signing the same message with the same key with both algorithms? In this ...
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  • 4,676
0 votes
0 answers
42 views

Can the minimum transaction with bitcoin (satochi) be updated to even less? [duplicate]

Or is it not changeable by design ?
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0 votes
1 answer
34 views

What does it mean to make mining more difficult? [duplicate]

Really I don't know nothing about bitcoin but now I got curious read something and immediately come to something on mind. I mean, there's a social economic comunity somewhere generating value based on ...
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0 votes
0 answers
49 views

How to calculate the new sequence number N for the new final field Fp curve?

Are there simplified algorithms or online services or Python scripts where can calculate a new ordinal N for a new finite field Fp in an elliptic curve? y^2 = x^3 + 7 I know that SageMath exists and ...
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4 votes
1 answer
840 views

Low-s value in bitcoin signature

What are the problems related in using the "normal" ( bigger than N/2) value of the s number in transaction signature and why we use the lower one? Is it about the math behind the ecdsa?
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  • 364
0 votes
1 answer
185 views

Are transactions with the same ScriptSig a security problem?

For instance while looking at the transaction stack of my address, tracing it to exchanges I use, I came across this: https://www.blockchain.com/btc/tx/...
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4 votes
1 answer
101 views

Why is the Schnorr verification formula working and actually verifying the validity of a signature?

Reading the bottom of page 2 of the Musig Paper we can find that a Schnorr Signature for a cyclic Group G of prime order p with generator g is a tuple (R,s) where R = gr for a random secret r and s=r+...
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1 vote
2 answers
134 views

how to calculate Entropy from series of outcome? [closed]

I want to generate my own private key with dice and/or other very entropic phenomenon. But how can I calculate if my data have a good entropy ? I mean if I throw dice in a certain way too much time ...
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9 votes
3 answers
922 views

How is Bitcoin governed by mathematics?

I keep hearing talks from Bitcoin evangelists that claim Bitcoin isn't governed by any central authority, rather it's governed by mathematics. What exactly do they mean when they say "governed by ...
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1 vote
1 answer
3k views

How to calculate coins mined per day?

Sorry for the noob question I'm pretty new to crypto coins and all this stuff. :) I wonder why the formula <your hashrate> / <coin difficulty> gives the mined coins as a result...Formula ...
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  • 113
17 votes
3 answers
7k views

How do you derive the private key from two signatures that share the same k value?

I wrote my own ECDSA signature algorithm just for the purpose of creating unit tests. With it I created two signatures which went into transaction 56ec7ca7df..., sending from 1GXFXm3es.... These ...
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6 votes
1 answer
422 views

Mixing Unequal Inputs

Let's say have 3 inputs (alice, bob, satoshi): 0.3, 1.3, 1.6. We can mix these inputs for example like this: 0.3, 0.3, 0.3, 0.3, 0.3, 0.3, 0.3, 0.3, 0.3, 0.3, 0.1, 0.1. Or like this: 1.3, 1.3, 0.3, 0....
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  • 754
2 votes
1 answer
70 views

Needed maths for full understanding

I often come across papers written in the Bitcoin space involving some math that I am not formally versed in. Could anyone point out general topics in math that I should have a formal grasp on in ...
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  • 178
1 vote
1 answer
763 views

What is the mathematics behind the maximum number of 21 million bitcoins that can be generated? [duplicate]

How is this number 21 million bitcoins arrived at? What is the mathematics behind this number? Or is this number a constant that can be changed in the source code?
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1 vote
2 answers
2k views

How can I calculate the breakeven price for buying and reselling on cryptocurrency exchange?

Assume that one side of the position will be charged the TAKER fee (0.25%), and the other will be charged the MAKER fee (0.10%). I have tried using this formula, but when selling at the break even ...
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4 votes
1 answer
490 views

Is BIP 32 Technology Cryptographic Curve Agnostic?

Does BIP 32 always implicitly assume secp256k1 elliptic curve cryptography (ECC) is to be applied, or can BIP 32 technology also be applied to create extended public or private keys that can readily ...
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  • 2,927
1 vote
3 answers
4k views

Get uncompressed public key from compressed form

A similar question has an answer in Python which links to the bitcointalk forum: How can I get the uncompressed public key from the compressed public key in openssl? https://bitcointalk.org/index.php?...
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