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Two new database encryption systems are presented. Both systems are based on the concept of the RSA (Rivest, Shamir, Adleman) master key. The first proposed system is a field-oriented encryption system with user master keys that correspond to the access rights of multiple fields. The second proposed system is a record-oriented encryption system with a user master key. Using the idea of master keys, we present a method that establishes a correspondence between the subsets of a given set and a set of integers.