A method of asymmetrical encryption and transferring encrypted data is provided that incorporates the Lucente Stabile Atkins Cryptosystem (“LSA” algorithm). This algorithm uses certain properties of mathematical objects called “groups”. Groups are sets of elements that are equipped with an operator and have the closure, associativity, identity, and invertibility properties. The LSA algorithm uses groups to encrypt and decrypt (secret sharing) any kind of symbolic information between two or more parties.