Designing VPN Security. Student Guide

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The number d is the private key. © 2003, Cisco Systems, Inc. All rights reserved. 0—1-1-31 Key Generation To generate an entity’s RSA keys: 1. Select two very large prime numbers, p and q. 2. q 3. Choose a huge prime e, with the constraint that e and (p-1)(q-1) are relatively prime. The public key is (e, n). 4. d = 1(mod(p-1)(q-1)) In other words, d = e-1mod ((p-1)(q-1)) Note 1-1-42 d and n are also relatively prime. The numbers e and n are the public key; the number d is the private key. The two primes, p and q, are no longer needed.

Applying the reverse transformation to the ciphertext block, using the same secret key, results in decryption. The fixed length (block size) for many block ciphers is now typically 128 bits (Data Encryption Standard [DES] has a block size of 64 bits). Block algorithms always almost result in output data being larger than input data, as they need to work on chunks of specific sizes, and the length of ciphertext is therefore a multiple of the block size. To accomplish this, block algorithms take data one chunk (for example, 8 bytes) at a time, and use padding to add artificial data (blanks) if there is less input data than one full block.

All rights reserved. 0—1-1-15 DES in Action Similar to any encryption method, there are two inputs to the encrypting function—the key and the plaintext to be encrypted. 1. Process the key: — Obtain a 64-bit key from the user — Every 8th bit of the key is actually a parity bit — Parity bits are discarded, reducing the key to 56 bits — Calculate 16 subkeys (each 48 bits long) out of the key 2. 0 Copyright © 2003, Cisco Systems, Inc. — (A series of expansions, XORs, permutations, and substitutions occur) — After 16 rounds, the result is a 64-bit block of ciphertext Decryption uses the same process, but the keys are applied in reverse order.

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