These cakes were an early version of road food. Workers in the field or travelers would tuck several into their pockets for a simple meal. You can purchase rice flour at health food stores.
Stir together rice and next 5 ingredients in a large bowl.
Stir in tomato, Parmesan cheese, and olives.
Pour oil to a depth of 1/4 inch into a large, heavy skillet; heat to 350°.
Drop batter by 1/4 cupfuls into hot oil; fry in batches 2 minutes on each side or until golden. Drain on wire racks over paper towels. Serve immediately.
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