4: Cryptography in Software

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4: Cryptography
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RC6 is based on the design of RC5 It uses a 128-bit block size, separated into four words of 32 bits each It uses a round count of 20 to provide security, and it has three possible key sizes: 128, 192, and 256 bits The four words are named A, B, C, and D, and the algorithm works like this: B = B + S0 D = D + S1 For PART II
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i = 1 20 [t = (B * (2B + 1)) <<< 5 u = (D * (2D + 1)) <<< 5 A = ((A XOR t) <<< u) + S2i C = ((C XOR u) <<< t) + S2i+1 (A, B, C, D) = (B, C, D, A)] A = A + S42 C = C + S43
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The output of A, B, C, and D after 20 rounds is the ciphertext RC6 is a modern algorithm that runs well on 32-bit computers With a sufficient number of rounds, the algorithm makes both linear and differential cryptanalysis infeasible The available key lengths make brute-force attacks extremely time-consuming RC6 should provide adequate security for some time to come
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RC4 was created before RC5 and RC6, but it differs in operation RC4 is a stream cipher, whereas all the symmetric ciphers we have looked at so far have been block-mode ciphers A stream-mode cipher works by enciphering the plaintext in a stream, usually bit by bit This makes stream ciphers faster than block-mode ciphers Stream ciphers accomplish this by performing a bitwise XOR with the plaintext stream and a generated keystream RC4 operates in this manner It was developed in 1987 and remained a trade secret of RSA until it was posted to the Internet in 1994 RC4 can use a key length of 8 to 2048 bits, though the most common versions use 128-bit keys, or if subject to the old export restrictions, 40-bit keys The key is used to initialize a 256-byte state table This table is used to generate the pseudo-random stream that is XORed with the plaintext to generate the ciphertext The operation is performed as follows: I=0 j=0 I = (I + 1) mod 256 j = (j + Si) mod 256 Swap Si and t = (Si + Sj) mod 256 K = St
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K is then XORed with the plaintext Alternatively, K is XORed with the ciphertext to produce the plaintext The algorithm is fast, sometimes ten times faster than DES The most vulnerable point of the encryption is the possibility of weak keys One key in 256 can generate bytes closely correlated with key bytes
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Blowfish was designed in 1994 by Bruce Schneier It is a block-mode cipher using 64bit blocks and a variable key length from 32 to 448 bits It was designed to run quickly on 32-bit microprocessors and is optimized for situations with few key changes Encryption is done by separating the 64-bit input block into two 32-bit words, and then a function is executed every round Blowfish has 16 rounds Once the input has been split into left and right words, the following function is performed: For I = 1 16 XL = XL XOR Pi XR = F(XL) XOR XR Swap XL and XR Then, swap XL and XR = XR XOR P17 XL = XL XOR P18
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The two words are then recombined to form the 64-bit output ciphertext The only successful cryptanalysis to date against Blowfish has been against variants that used reduced rounds There does not seem to be a weakness in the full 16-round version
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IDEA (International Data Encryption Algorithm) started out as PES, or Proposed Encryption Cipher, in 1990, and it was modified to improve its resistance to differential cryptanalysis and its name was changed to IDEA in 1992 It is a block-mode cipher using a 64-bit block size and a 128-bit key The input plaintext is split into four 16-bit segments, A, B, C, and D The process uses eight rounds with each round performing the following function: A * S1 = X1 B + S2 = X2 C + S3 = X3 D * S4 = X4 X1 XOR X3 = X5 X2 XOR X4 = X6 X5 * S5 = X7 X6 + X7 = X8 X8 * S6 = X9
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