[Critical ltm log] Device error: qat Data size 129 too big for input parameter of size 128

Device qat specifies the SSL hardware on your LTM.

So the error message seems to indicate that the SSL hardware is getting packets that do not conform to the expected SSL header specification

Data size 129 too big for input parameter of size 128

You really need a tcpdump (for port 443) so that the SSL/TLS negotiation can be reviewed to see if this is a deliberate attack or some sort of error condition.

Also, what version of LTM is this?