![cryptography – Is it doable to cut back the sphere dimension with out disrupting technology of public keys? cryptography – Is it doable to cut back the sphere dimension with out disrupting technology of public keys?](https://cillionairee.com/wp-content/uploads/https://cdn.sstatic.net/Sites/bitcoin/Img/apple-touch-icon@2.png?v=b4864ba760f1)
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i used to be questioning if its doable to cut back to subject to a 130 bit or decrease
No, that might be woefully insecure. The safety of elliptic curve cryptography scales with the half of the sphere dimension. A 133-bit curve would solely have 64.5-bit safety. That implies that with ~264.5 curve operations one can compute the personal key for a given public key. That is tiny quantity of labor for a reliable attacker.
with out disrupting the precise performance
Even when it weren’t a horrible concept, this may be an especially invasive change, requiring your complete ecosystem to undertake and swap to a distinct, smaller, curve. All Bitcoin software program would wish to adapt.
So far as I do know, there aren’t even any beneficial standardized curves with a dimension beneath 160 bits.
what i imply by that is the precise technology of secp256k1 public keys shouldn’t be disrupted.
If this had been doable, the Bitcoin ecosystem would have already got embraced it. secp256k1 makes use of a particular finite subject, the integers modulo 2256 – 232 – 977. Should you use a distinct subject, it is a totally different curve, with totally different personal/public keys and all the pieces.
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