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Substitution ciphers are known from ancient times and can be viewed simply as a change of names of the letters For example, in a cipher attributed to Julius Caesar each letter of the alphabet is exchanged by a letter standing three positions from it (A is encrypted as D, B as E, C as F, etc) Of course, in general, the substitution need not have a simple shift structure as in Caesar s cipher However, in spite of an astronomical number of possible substitution ciphers over the English alphabet (26!), they are easily solvable, using the letter frequency analysis As a bright illustration of this one can read Edgar Poe s fascinating story The Golden Bug, or Conan Doyle s The Dancing Men.

The SYSTEM keyword denotes that DTD will be referenced using a system identifier, which is the following URI. The second form of the external DTD declaration is to use a public identifier. Here is the general form:

25% by 31.12.2003 50% by 31.12.2005 20 30% . 3 years 40% . 4 years 50% . 5 years 85% . 6 years t.b.d t.b.d No speci c Network obligation, license: 20 freq. Lic. but Ministry 10 renewable to ensure implementation of licenses 15 Voice: 25% . 2 years; 80% . 8 years Data: 20% . 2 years; 60% . 8 years All licences: 2002: 2 10 MHz 2004: 2 15 MHz 1 1 5 MHz

A popular element of modern ciphers a substitution box (S-box) takes a block of m bits as its input and outputs a block of n bits (m not necessarily equals n) The S-box can perform any function on a set of its inputs: if m = n, it can be a permutation on a set of 2m inputs, if m > n, it can be a collection of several permutations on a set of 2n inputs It can be a randomly chosen function or a carefully designed function with special properties It is desirable for an S-box to perform nonlinear and nonaf ne function in order for the whole cipher to be a nonlinear function Linearity in cipher s behavior is the end of a cipher, since it essentially means that information is leaked from the plaintext to the ciphertext.

Both expanding (m < n) and contracting (m > n) S-boxes can be met in modern block ciphers Unless being calculated by a compact formula, the memory required to store an s-box grows exponentially with the linear increase in the size of its input m Thus, the most typical sizes for S-box input are m = 4, 6, 8, and 12 bits The second basic element permutation (or transposition) cipher keeps plaintext characters as they are but arranges them in a different order One of the oldest transposition methods was used by ancient Greeks: A leather belt is tightly wound around a cylinder and a message is written on the belt across the length of the cylinder The belt is then worn by a messenger The message can be decrypted by a party who has a cylinder of the same diameter as was used during the encryption.

Stimulated emission will be introduced more completely when we discuss EDFAs. It is what makes lasers lase and erbium ampli ers amplify. Whereas Rayleigh scattering is omnidirectional, SBS [Green, ber-optics info] is highly directional in that the directivity pattern of the scatter has a null in the forward direction. Much of the scatter hits the side of the core and vanishes into the cladding, but enough propagates back to the laser to constitute a very harmful backre ection, and this can have two effects:

Breaking a basic permutation cipher is an easy task, especially if one knows a part of the encrypted plaintext In modern ciphers, permutations of bits are frequently used Although weak on their own, a line of substitutions followed by a permutation has good mixing properties: substitutions add to local confusion and permutation glues them together and spreads the local confusion to the more distant subblocks Shannon [34] in a pioneering work Communication Theory of Secrecy Systems, suggested the use several mixing layers interleaving substitutions and permutations Such a design is called substitution permutation network (SPN) Figure 136 is an example of SPN..

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