As far as I know NTRUSign is considered to be a Post-Quantum scheme but it's vulnerable to the Nguyen-Regev attack that allow to recover private key when there is an access to signature oracle (as it stated in the original paper, 400 message-signature pairs are enough).
After that paper some improvements were proposed and cracked and now NTRUSign seems to be broken.
Do other lattice-based Post-Quantum schemes suffer from the attack by Nguyen-Regev or similar attacks? Signature and key agreement schemes should also be considered.