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Practical Issues Involved In Implementing The Lucente Stabile Atkins (LSA) Cryptosystem
Atkins, Carey Atkins, Carey Lucente Stabile, Francesco Lucente Stabile, Francesco Rosenthal, Arthur Rosenthal, Arthur
Atkins, Carey
Atkins, Carey
Lucente Stabile, Francesco
Lucente Stabile, Francesco
Rosenthal, Arthur
Rosenthal, Arthur
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Abstract
We discuss practical issues involved in implementing the Lucente Stabile Atkins (LSA) cryptosystem, a new asymmetric encryption algorithm that involves both group and number theory. The LSA algorithm requires a key exchange at the beginning of the process to define the group that will be used for the information sharing. We show that the LSA cryptosystem can be implemented with an algorithm that generates an arbitrarily large number of keys of various lengths using a computationally efficient method. By using this list of keys to determine the cyclic group to be used, we have developed a cryptosystem that can be more secure than existing encryption algorithms while also being computationally faster.
Title
Practical Issues Involved In Implementing The Lucente Stabile Atkins (LSA) Cryptosystem
Date
2020-05-04
Subject
Cryptography
Mathematics
Encryption Algorithm
Abstract Algebra
Number Theory
Key Sharing
Mathematics
Encryption Algorithm
Abstract Algebra
Number Theory
Key Sharing
Material type
Collections
Abstract
We discuss practical issues involved in implementing the Lucente Stabile Atkins (LSA) cryptosystem, a new asymmetric encryption algorithm that involves both group and number theory. The LSA algorithm requires a key exchange at the beginning of the process to define the group that will be used for the information sharing. We show that the LSA cryptosystem can be implemented with an algorithm that generates an arbitrarily large number of keys of various lengths using a computationally efficient method. By using this list of keys to determine the cyclic group to be used, we have developed a cryptosystem that can be more secure than existing encryption algorithms while also being computationally faster.