Data Encryption System and Method

A method data encryption, comprising:

• a. storing data, a first prime number (P), a second prime number (G), a third prime number (C), a first private prime number (Ps), a first random number (M), and a second random number (R), within an electronic memory storage device;
• b. calculating a sender public number (PUBs) with a processing element according to an equation PUBs=GPsmodP, using the first private prime number (Ps), the first prime number (P), and the second prime number (G);
• c. providing the sender public number (PUBs) to a recipient apparatus having knowledge of the first prime number (P), the second prime number (G), and the third prime number (C);
• d. encrypting the stored data with the processing element using encryption logic and a randomly generated key;
• e. deleting the randomly generated key from the processing element after encryption of the data;
• f. calculating a common shared secret (S) with the processing element using the first prime number (P), the first private prime number (Ps), a recipient public number (PUBr), and the second random number (R);
• g. calculating a plurality of parameters with the processing element using a key equation based on the randomly generated key and the first random number (M),
• i. where the first parameter (Y1) is calculated using the third prime number (C) in the key equation, and
• ii. where the second parameter (Y2) is calculated using the common shared secret (S) in the key equation;
• h. transmitting the encrypted data, the second random number (R), and the plurality of parameters (Y1,Y2) to a recipient apparatus;
• i. calculating the common shared secret (S) with the recipient apparatus in accordance with a second shared secret equation using the first prime number (P), a recipient private prime number (Pr), the sender public number (PUBs), and the second random number (R);
• j. calculating the randomly generated key with the recipient apparatus using the common shared secret (S), the third prime number (C), the plurality of parameters (Y1,Y2) and the simultaneous equations;
• and
• k. decrypting the encrypted data with the recipient apparatus using encryption logic and a randomly generated key.