HD Wallets have a flaw that revealing a private key and its parent master public key will reveal its parent master private key. (Described here and here).
Isn't there a similar concept with master public key and master private key that does not suffer from this issue. (Does not have to be ECDSA. I just want a deterministic private-public keypair generator that can publish its master public key).
 https://eprint.iacr.org/2014/998.pdf (chapter 3)