It will recover Ecdsa Secp256K1 private key up to 249 bits and with up to 256 bits k nonces.
Even if there are 1000 signatures, but some of them have k values of 250~256 bits
As long as there are some signatures with k between 254 ~ 256 ,
the lattice attack cannot solve it...
because we know nothing about k , not even 1 bit can't sure
It will recover Ecdsa Secp256K1 k nonces up to 249 bits and with up to 256 bits private key.