A　dynamics　regime　of　Rydberg　atoms,　unselective　ground-state　blockade　(UGSB),　is　proposed　in　the　context　of　Rydberg　antiblockade　(RAB),　where　the　evolution　of　two　atoms　is　suppressed　when　they　populate　in　an　identical　ground　state.　UGSB　is　used　to　implement　a　SWAP　gate　in　one　step　without　individual　addressing　of　atoms.　Aiming　at　circumventing　common　issues　in　RAB-based　gates　including　atomic　decay,　Doppler　dephasing,　and　fluctuations　in　the　interatomic　coupling　strength,　we　modify　the　RAB　condition　to　achieve　a　dynamical　SWAP　gate　whose　robustness　is　much　greater　than　that　of　the　nonadiabatic　holonomic　one　in　the　conventional　RAB　regime.　In　addition,　on　the　basis　of　the　proposed　SWAP　gates,　we　further　investigate　the　implementation　of　a　three-atom　Fredkin　gate　by　combining　Rydberg　blockade　and　RAB.　The　present　work　may　facilitate　to　implement　the　RAB-based　gates　of　strongly　coupled　atoms　in　experiment.