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1
vote
Why does the Bulletproof prover always have T1 = rct::scalarmultKey(T1, INV_EIGHT)?
T1 is a curve point. It is multiplied by 8 to ensure it is on the main subgroup of the Ed25519 curve.
2
votes
Is there a monero wallet that can do a range proof?
The Monero wallets (official or any others that I'm aware of), do not offer any functionality to perform generic range proofs.
For a generic range proof, you could use code as in user679128's answer …
5
votes
Accepted
How does having a negative number in a Pedersen commitment, create money out of thin air?
A good description of this is found in Greg Maxwell's paper on CT:
(1 + 1) - (-5 + 7) == 0
This would be interpreted as "someone spends two bitcoins, gets a '-5'
bitcoin out that they discard out, …
1
vote
Accepted
What prevents double-spending?
1st (1 Monero) + 3rd (100 Monero) = 4th_Mine (90 Monero) + range proof balancing (11 Monero)
2nd (1 Monero) + 3rd (100 Monero) = 5th_Mine (90 Monero) + range proof balancing (11 Monero)
Let's call t …
1
vote
Accepted
Why are rangeproofs necessary?
The example you cite is not using elliptic curve operations.
A Pedersen commitment in Monero takes the form C = xG + aH (alternatively notated C = gx ⋅ ha) and here G and H (or g and h) are elliptic c …