Abstract: An improved method for data encryption has been developed. The method includes storing data, multiple prime numbers and random numbers within an electronic memory storage device. Next, calculating a public number using the multiple prime numbers and providing a public number to a recipient apparatus that has knowledge of the multiple prime numbers. The method then encrypts the stored data with a randomly generated key that is determined with elliptical curve cryptography (ECC) and deletes the randomly generated key after use. Next, the method calculates a common shared secret between the sender and recipient using the prime numbers, a recipient public number and the second random number. The sender and recipient calculate parameters using a key equation based on the randomly generated key and random numbers and a common shared secret.

Abstract: An improved method for data encryption has been developed. The method includes storing data, multiple prime numbers and random numbers within an electronic memory storage device. Next, calculating a public number using the multiple prime numbers and providing a public number to a recipient apparatus that has knowledge of the multiple prime numbers. The method then encrypts the stored data with a randomly generated key and deletes the randomly generated key after use. Next, the method calculates a common shared secret between the sender and recipient using the prime numbers, a recipient public number and the second random number. The sender and recipient calculate parameters using a key equation based on the randomly generated key and random numbers and a common shared secret. Finally, the recipient calculates the randomly generated key for decryption using the common shared secret, one of the prime numbers, the parameters and the simultaneous equations for decryption of the data.

Abstract: An improved method for data encryption has been developed. The method includes storing data, multiple prime numbers and random numbers within an electronic memory storage device. Next, calculating a public number using the multiple prime numbers and providing a public number to a recipient apparatus that has knowledge of the multiple prime numbers. The method then encrypts the stored data with a randomly generated key and deletes the randomly generated key after use. Next, the method calculates a common shared secret between the sender and recipient using the prime numbers, a recipient public number and the second random number. The sender and recipient calculate parameters using a key equation based on the randomly generated key and random numbers and a common shared secret. Finally, the recipient calculates the randomly generated key for decryption using the common shared secret, one of the prime numbers, the parameters and the simultaneous equations for decryption of the data.

Abstract: A sender apparatus encrypts data using a key. The apparatus then calculates various parameters based on the key and a shared secret between the sender apparatus and a recipient apparatus that is remote from the sender apparatus. The calculated parameters are transmitted to the recipient apparatus, which uses such parameters to calculate the key based on the shared secret. The recipient apparatus then decrypts the data using the calculated key, which does not need to be transmitted from the sender apparatus to the recipient apparatus.