Post
Topic
Board Development & Technical Discussion
Re: Pairs of matching n-values in secp256k1 with changed b-values
by
eugenekhashin
on 02/01/2025, 09:44:09 UTC
The question is: does it mean that there is some kind of connection between y^2=x^3+7, and for example y^2=x^3+2? Or maybe there is another connection, where points on curves with identical p-value and n-value can be mapped? Does it mean, that if we have b=0x7, where there are "n" points, and for example b=0xc curve also has the same amount of points, then does it mean we can map them 1:1?

Yes, you can map points on curves with the same cardinality (Eg a6: 7, 12, 20, 23, 26, 37, etc.) - they're are 100% isomorphic. Also there are no known connection (at least for me) between points on curves with different cardinalities (Eg a6: 7 and 2).