Topic: 2^96 same bitcoin address - page 3. (Read 853 times)
And note that this is just for an address type that encodes a RIPEMD-160 hash. In P2WSH, multi-sig addresses are encodings of a 256-bit number and thus, there aren't 296 private keys for each address on average. There isn't even 1 for each address. The total private keys that are valid are slightly lower than 2256.
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Then we also have addresses made from hash of the scripts containing the public key so the number grows even more
Yes, 2^96 applies only to P2PKH or P2WPKH, in case of P2WSH the number of combinations is potentially unlimited, because there are many spendable scripts, for example "
When you say "addresses" and not specify what type, then the answer is there are a lot more than the size of a RIPEMD160 hash because we have multiple types of addresses and 3 ways to represent public keys each creating a different hash. Then we also have addresses made from hash of the scripts containing the public key so the number grows even more (eg. P2(W)SH) and finally we have brand new addresses using the public key itself known as P2TR or witness version 1 addresses used in Taproot.
In short for each private key there are far more addresses than 2256.
In short for each private key there are far more addresses than 2256.
Yes, because for each public key there is only one matching private key. Private to public key mapping is unique, 1:1. Public key to address mapping is not, because there are around 2^256 public keys that are mapped into around 2^160 addresses, so there are around 2^96 matching keys for each address, if you assume that they are distributed equally. For some address it may be above or below 2^96, but mathematically you can be 100% sure that there is some address with around 2^96 or more matching keys.
Hello we know that there are 2^96 identical bitcoin addresses in the 2^256 private key.
Is it the same for the public keys?
Is it the same for the public keys?
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