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Security strength of secp256k1 is 2^128. Entrophy which is stonger than it is meaningless. The series of mnemonic words are equivalent to a number which will be used as Entrophy. 12 mnemonic words represents sufficient security strength(2^128) and 2048 words list is enough.

Pleb⚡ 2y ago

Thanks nostr:npub1ytwcmu0768dz2axyj9c5dkfaedne2jdwatv0nr9m4utx6xpkv2ksfrt58k

I always thought it's 2^256. Thats the number I find whenever I Google "how many possibilities of bitcoin key there is". And sha 256 or 256 bits is the one that I found

Can you please refer me to the reading material that stated it uses 128 instead of 256?

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Discussion

Gildong.Hong 2y ago

As I understand it, this is because elliptic curves are symmetrical. (I don't fully understand this and could be wrong)

Technically, The number of valid private key is not even 2^256. It has to do with the group operations used in ECC and is slightly less than 2^256.

https://www.secg.org/sec2-v2.pdf

Pleb⚡ 2y ago

My brain can't grasp this.

But thanks a lot man..