A transaction system stores a biometric identification parameter used by the transaction system to perform transactions. The biometric identification parameter is received from a user and stored in a primary biometric identification parameter data file. The user is assigned a user identification number. A plurality of pieces of the primary biometric identification parameter data file are created. Each piece is assigned a data sequence number different from data sequence numbers assigned to all other pieces and a mathematical operation encryption number. Each mathematical operation encryption number represents a mathematical encryption operation that is different from mathematical encryption operations represented by all other mathematical operation encryption numbers. Each piece is encrypted using a mathematical encryption operation represented by the mathematical operation encryption number assigned to the piece in order to produce a plurality of transformed data pieces. Each transformed data piece in the plurality of transformed data pieces is assigned a transformed data identification number.