System for encrypting and decrypting data using derivative equations and factors

A system for encrypting and decrypting an original string, the system comprising:

• a processor;
• and
• a memory in communication with the processor, the memory storing a plurality of instructions that are executable by the processor, the plurality of instructions comprising instructions to implement,
• an encryption module configured to:
• receive user input defining a set of factors to be used for encrypting the original string;
• receive user input defining an encryption equation that maps the original string to an encrypted string, the encryption equation being a function of the original string and the set of factors;
• receive user input defining a set of derivative equations, the set of derivative equations being used to generate a derivative value from the set of factors;
• and
• provide one or more false derivatives that cannot be used to determine a given factor from the set of factors;
• a database configured to store the encrypted string, the generated derivative values, and the one or more false derivative values;
• and
• a decryption module configured to:
• use a set of factor decryption equations to map each of the generated derivative values stored in the database to a corresponding factor in the set of factors;
• and
• decrypt the encrypted string stored in the database using a decryption equation and each factor mapped through the set of factor decryption equations to generate a decrypted string that is equal to the original string,
• wherein a presence of the one or more false derivative values with the generated derivative values in the database prevents an attacker from knowing which of the one or more false derivative values and the generated derivative values to use with the factor decryption equation to derive the factors in the set of factors.