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The mathematical "trick" in PKC is to find a trap door in the one-way function so that the inverse calculation becomes easy given knowledge of some item of information.
It is straight forward to send messages under this scheme. Alice encrypts some information using Bob's public key; Bob decrypts the ciphertext using his private key.As a result, the ECRYPT Stream Cipher Project (e STREAM) was created, which has approved a number of new stream ciphers for both software and hardware implementation.Similar but different is the Japanese Government Cryptography Research and Evaluation Committees (CRYPTREC) efforts to evaluate algorithms submitted for government and industry applications. The biggest difficulty with this approach, of course, is the distribution of the key (more on that later in the discussion of public key cryptography). With this form of cryptography, it is obvious that the key must be known to both the sender and the receiver; that, in fact, is the secret.