Short Depth of Field means a smaller range of focus. Short Depth of Field means "a few feet in focus". 

You can achieve Short Depth of Field by having a WIDER F-STOP/Aperture-- F2, F3, F4

Long Depth of Field means a bigger range of focus.  Long Depth of Field means "a lot of feet in focus".

You can achieve Long Depth of Field by having a NARROWER F-STOP/Aperture-- F11, F16, F22

Ansel Adams was known for his Long Depth of Field photographs.  He founded the group "F-64"