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A public key cryptosystem is an asymmetric cryptosystem where the key consist of a public key and a private key. As the public key is public (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. The authors describe a new public key cryptosystem based on logarithmic approach. PCLA with its simplicity, it's very easier to create keys and can be use securely with 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.
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