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[1] and here[2]).
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).
[1] https://bitcoinmagazine.com/8396/deterministic-wallets-advantages-flaw/
[2] https://eprint.iacr.org/2014/998.pdf (chapter 3)