VETS 2. read below.

You are screwed.  It is like a felony.  If they look it up it is a permanent blight on your record.  You don't want that.

The other kind of vet cannot read, so I assume you mean soldiers.

Usually someone who has received one will most likely get a jail sentence for his/her crime. He is screwed for life.

A dishonorable discharge (DD) can only be handed down to an enlisted member by a general court-martial. Dishonorable discharges are handed down for what the military considers the most reprehensible conduct. This type of discharge may be rendered only by conviction at a general court-martial for serious offenses (e.g., desertion, sexual assault, murder, etc.) that call for dishonorable discharge as part of the sentence.

With this characterization of service, all veterans' benefits are lost, regardless of any past honorable service, and this type of discharge is regarded as shameful in the military. In many states a dishonorable discharge is deemed the equivalent of a felony conviction, with attendant loss of civil rights.^[14] Additionally, US federal law prohibits possession of firearms by those who have been dishonorably discharged^[15] per the Gun Control Act of 1968.

https://en.wikipedia.org/wiki/Military_discharge