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over a secure communication channel as shown in Figure 22 This is related to the problem of key distribution and is a major problem, especially in wireless ad hoc networks We will address the problem of key management in more detail in 3 A question might arise, however: Why not use the same secure channel used to transmit the secret keys to also transmit the data This may not be possible, either because of bandwidth limitations on such channels or because such channels may not be available when data has to be transmitted Symmetric key algorithms are of two types, namely block ciphers and stream ciphers Block ciphers work on blocks of data at a time All of the bits constituting a block have to be available before the block can be processed Thus, block ciphers can be viewed as functions that map an n-bit plaintext to an n-bit ciphertext The function must be a one-to-one function in order to allow for unique decryption The right size of block lengths is important from a security, performance, and complexity point of view Short block lengths can possibly help the adversary construct the decryption table containing the plaintext ciphertext pairs easily Long block lengths can be inconvenient due to the complexity of performing the computations for encrypting and decrypting the data and also because of the performance penalties associated with such computations The normally used block lengths are 64 or 128 bits This is the most widely used type of cryptographic algorithm Stream ciphers work on a bit or byte of the message at a time Thus, the data is processed as a stream Given the small size of the block (a bit or byte), stream ciphers might be inef cient These are faster than block ciphers in hardware and require less complex circuitry Many stream ciphers are proprietary and con dential We next look at block ciphers in more detail There are two types of classical (traditional) block ciphers: (1) substitution cipher; and (2) transposition cipher A substitution cipher makes the relationship between the key and the ciphertext as complex as possible This is the property of confusion Here the core idea is to replace symbols with other symbols or groups of symbols A simple example of a substitution cipher is the Caesar.

when 0 < H2 < H1 < 1, for a and b two strictly positive C 1 functions, and for 1 and p( ) = 0 if | | > 2 (see p a c function such that p( ) = 1 if | | [BEN 94]); a comparison carried out in [BEN 97a] between ltered white noises and elliptic Gaussian random processes makes it possible to obtain the result more easily Let us make several comments on the symbols which we identify The symbols of form (665) verify Hypothesis 63 (H1 ) In particular, function p was introduced so that the elliptic inequality of order H1 in = 0 would be satis ed In fact, (665) should be understood as an expansion in the fractional power in high frequency (| | + ) of a general symbol The identi cation of the symbol of an elliptic Gaussian random process X comes from the comparison of X with the ltered white noise: Yt = e it 1 W (d ) (t, ) (666)

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This explains that the order of the powers for an elliptic Gaussian random process is reversed compared to that which we have for a ltered white noise The results of identi cation for the elliptic Gaussian processes can be summarized by recalling the following theorem

THEOREM 69 If X is an elliptic Gaussian random process of the symbol verifying (665) and: sup 0, then the estimators: VN/2 1 log2 HN = +1 2 VN N 2HN 1 VN (w) JN (w) = F (2HN ) for w C 2 [0, 1] with support included in ]0, 1[ and: (H2 )N = VN 2 /2 WN/2 1 1 + log2 log2 2 2 VN 2 WN (669)

Page 198 managers occupy a position with both responsibility for project success and the commensurate level of authority to guide the development process Department heads have limited and well-defined roles in the project, power is split between the two centers of power (functional and project) The focus shift is much more dramatic; for the first time, the recognized emphasis is on the customer, rather than maximizing internal operating efficiencies Because project managers in effect share power with the functional department heads, they are in a far better position to shift the focus to the customer, where it belongs The heavyweight project organization represents the best acknowledgment of the resurgent role that projects have assumed in company success at the start of the new century

(97)

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for any n > 1 where, for any k {0, , 2n 1 1}:

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