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One advantage of the Feistel design is that the encryption and decryption stages are similar, sometimes identical, requiring only a reversal of the key operation, thus dramatically reducing the size of the code (software) or circuitry (hardware) necessary to implement the cipher.

One of Feistel's early papers describing this operation is "Cryptography and Computer Privacy" (Scientific American, May 1973, 228(5), 15-23).

Self-synchronizing stream ciphers calculate each bit in the keystream as a function of the previous n bits in the keystream.

Stream ciphers come in several flavors but two are worth mentioning here (Figure 2).

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Secret key cryptography schemes are generally categorized as being either stream ciphers or block ciphers.

The most common construct for block encryption algorithms is the Feistel cipher, named for cryptographer Horst Feistel (IBM).

As shown in Figure 3, a Feistel cipher combines elements of substitution, permutation (transposition), and key expansion; these features create a large amount of "confusion and diffusion" (per Claude Shannon) in the cipher.

As shown in Figure 1A, the sender uses the key to encrypt the plaintext and sends the ciphertext to the receiver.

Challenge-Handshake Authentication Protocol (CHAP) 5.15. Secure E-mail and S/MIME Secret key cryptography methods employ a single key for both encryption and decryption.