the preferred program code randomly generates the virtual designations and any additional virtual designations although the virtual designation generation step need not be purely random also each mapping table 30 is stored in storage device 24 associated with computer 20 in a manner in which no one including the game operator has knowledge of the mapped virtual designations 32 and additional virtual designations 33 prior to the time the respective virtual designation and any additional virtual designation is announced or otherwise used in the play of the game once all physical designations 16 to be mapped are mapped to the respective virtual designations 32 and any additional virtual designations 33 and the relationship is stored the game preferably proceeds with the physical object draw or other physical designation generation at step 34 in fig2 this step may be accomplished using object draw device 11 and a pool 14 of objects 12 shown in fig1 when an object 12 is drawn operator 17 reads the physical designation 16 associated with the drawn object and enters that physical designation 16 into computer 20 through operator input 22 if the particular physical designation 16 entered has been mapped to a virtual designation 32 the invention includes converting the entered physical designation 16 to the mapped virtual designation 32 as indicated at step 36 in fig2 this virtual designation 32 is then used in the play the game as shown at step 37 computer 20 announces or communicates virtual designations 32 to the network player terminals 21 through network interface 25 hardware shown in fig1 using the mapping table 30 shown in fig3 as an example assume that the particular object 12 bearing physical designation u201c 1 u201d is drawn at random.