TexasCHLforum.com

Discharge by definition: https://themilitarywallet.com/types-of- ... ischarges/

Bad Conduct Discharge (BCD)
The Bad Conduct Discharge is only passed on to enlisted military members and is given by a court-martial due to punishment for bad conduct. A Bad Conduct discharge is often preceded by time in military prison. Virtually all veteran’s benefits are forfeited if discharged due to Bad Conduct.

Dishonorable Discharge
If the military considers a service members actions to be reprehensible, the general court-martial can determine a dishonorable discharge is in order. Murder and sexual assault are examples of situations which would result in a dishonorable discharge. If someone is dishonorably discharged from the military they are not allowed to own firearms according to US federal law. Military members who receive a Dishonorable Discharge forfeit all military and veterans benefits and may have a difficult time finding work in the civilian sector.

It's my understanding that a BCD for anything other than domestic violence or more than 12 months confinement, will not preclude you from owning a firearm. Until they release the actual charge, it would be difficult to speculate his rights to gun ownership.