PCLA: A new public-key cryptosystem based on logarithmic approach

A public key cryptosystem is an asymmetric cryptosystem where the key consist of a public key and a private key. The public key, known to all, can be used to encrypt the messages. The private key, kept as secret, can be used to decrypt the messages by the owner. We describe a new public key cryptosystem based on logarithmic approach. PCLA features reasonably short, easily created keys, high speed, and low memory requirements. PCLA encryption and decryption use a mixing system suggested by logarithmic approach combined with a clustering principle based on elementary mathematical theory. The security of the PCLA cryptosystem comes from the interaction of the logarithmic mixing system with the independence of relatively integer´s p and q..