The relieving of a military officer or enlisted men from active service for objectionable behavior.

The U.S. Social Security Administration states that the following actions can result in a dishonorable release of a military officer*:

(a) A discharge or release for desertion, absence without leave, or fraudulent entry;

(b) A dishonorable or bad conduct discharge issued by a general court martial of the Army, Navy, Air Force, Marine Corps, or Coast Guard of the United States, or by the active service of an allied country during the World War II period;

(c) A dishonorable discharge issued by the United States Public Health Service or the United States Coast and Geodetic Survey;

(d) A resignation by an officer for the good of the service;

(e) A discharge or release because the individual was a conscientious objector; or

(f) A discharge or release because the individual was convicted by a civil court for treason, sabotage, espionage, murder, rape, arson, burglary, robbery, kidnapping, assault with intent to kill, assault with a deadly weapon, or because of an attempt to commit any of these crimes.

*from http://www.ssa.gov/OP_Home/cfr20/404/404-1325.htm
Dishonorable discharge - military slang for masturbation, as in the joke:

The sergeant walked into the showers and caught me giving myself a dishonorable discharge. I said, "It's my dick, and I'll wash it as fast as I want.

Yes, I know it's not funny, but it illustrates the point nicely.

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