Re: SECP256K1 Bitcoin - Fully formed sequential group of blocks curve

There is also the possibility to form the entire block based on a single private key (0.2 BTC per block) or any single public key without private keys (0.05 BTC per block).

Demo (part of the block): ...

Why would one pay 50 BTC for a script that simply multiplies a scalar key by lambda endomorphism, and curve point field elements by beta endomorphism (for X) and subtracts Y from field prime / negates the key?

Sorry to ruin your secret.

Hi! Well, a full 50 BTC? That definitely wasn’t my offer )) I discovered Lambda myself without even realizing that it had already been discovered before me. )

I didn’t quite understand how you use the lambda endomorphism to obtain the entire group without private keys... Wink

How about this kind of block (full with private keys)?

Single block design:
k x y
-------------------
A 27 K
B 27 L
C H K
D H L
E J K
F J L
-------------------
27+H+J=p

https://e.radikal.host/2025/03/06/2999bdf922e54c1d3.png