signatures and the building of a lattice

[akaki]

Hello,

In the context of presence of biased nonces, I've read in several places that if one doesn't have enough signatures to build a lattice of the required dimension, valid ECDSA signatures should be generated for this purpose.
However, I don't understand how this can help as one will generate "i=1..n" signatures with "Ki=ai+ bi*prvkey" using random (ai, bi) that doesn't provide any informaion about Ki.

Are there any hints for properly choosing (ai, bi) ?
The most obvious one is to have the same bias of Ki (difficult to achieve) but this is not enough, right ?

[ymgve2]

Those places are wrong, you can't build useful signatures from existing ones.