In order for the government to convict you of Reckless Driving by Speed the Commonwealth has to prove beyond a reasonable doubt that you were driving on a “highway.”  

Virginia Code section § 46.2-100 defines Highway as: 

“‘Highway’ means the entire width between the boundary lines of every way or place open to the use of the public for purposes of vehicular travel in the Commonwealth, including the streets and alleys, and, for law-enforcement purposes, (i) the entire width between the boundary lines of all private roads or private streets that have been specifically designated "highways" by an ordinance adopted by the governing body of the county, city, or town in which such private roads or streets are located and (ii) the entire width between the boundary lines of every way or place used for purposes of vehicular travel on any property owned, leased, or controlled by the United States government and located in the Commonwealth.”

According to the definition above, you can see that most things in Virginia would constitute a “highway”. However, there are certain things that might NOT constitute a highway; such as, certain private roadways as well as certain commercial parking lots.