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Even with the relatively secure Sigaba, it, was considered absolutely essential that the machine not fall into enemy hands For modern cipher design, Kerckhoffs Principle reigns suprenie--at least in principle, if not always in practice Consequently, any respectable cipher must go through an open and cxtensive peer-review process before it can be considered secure, with the theory being that more eyes will lead to more security , particularly if those eyes belong to skilled cryptanalysts It is also.

where rj(t) is the learning rate factor and cr(t) is the width of the kernel. Both n(t) and a(t) are monotonically decreasing functions. The learning process is iterative, continuing until a "good" enough map has been found. The quantization error is usually used as an indication of map accuracy, defined as the sum of Euclidean distances of all patterns to the codebook vector of the winning neuron, i.e.

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assumed that the crypto algorithm is known to the attacker. Furthermore, a cipher must be resistant to a variety of attacks, including known plaintext, chosen plaintext, adaptively chosen plaintext, and so on, even if these attacks do not seem particularly realistic in a specific application. This is all in stark contrast to the situation in WWII, where a secret design was considered essential. The bottom line is that the machine ciphers of WWII were often viewed as little more than glorified codebook ciphers, which obscured the fundamental distinctions between manual and machine cryptanalysis. In fairness to WWII cipher designers, cryptology was not entirely scientific at the time, in part due to the lack of any solid foundation for the field. That situation began to change during WWII, and with the publication of Shannon s classic 1949 paper [133], cryptography finally emerged from the realm of black art into a genuine scientific discipline.

To view your MobileMe Gallery, go to http://gallery.me.com/ UserName where UserName is your MobileMe login (for example, sjobs). In your Web browser, click the album you just exported to view it. If you set your album to not be visible on the Gallery home page, use the Edit MobileMe Gallery Album sheet we describe in the next section to see your album s URL.

1. Consider a rotor with permutation P of { 0 , 1 , 2 , . . . , n - l}. Suppose that P permutes i to pi. Let di be the displacement of p i , that is, di = p i - i (mod n). Find a formula for the elements of permutation 4, the kth rotor shift of P, where the shift is in the same direction as the rotors described in Section 2.2.3. Your formula must be in terms of pi and d i .

2. Let F ( p ) , for p = 0 , 1 , 2 , . . . ,13, be the number of ways to plug p cables into the Enigma stecker. Show that

The stochastic SOM training algorithm is slow due to the updates of weights after each pattern presentation: all the weights are updated. Batch versions of the SOM training rule have been developed which update weight values only after all patterns have been presented. The first batch SOM training algorithm was developed by Kohonen, and is summarized as follows [Kohonen 1997]: 1. Initialize the codebook vectors by assigning to them the first KJ training patterns, where KJ is the total number of neurons in the map. 2. For each neuron, kj, collect a list of copies of all patterns Zp whose nearest codebook vector belongs to the topological neighborhood of that neuron. 3. Each codebook vector is then assigned the mean over the corresponding list of patterns. 4. If convergence is reached, then terminate training; otherwise return to step 2. Based on the batch learning approach above, Kaski et al. developed a faster version, as summarized below [Kaski et al. 2000]:

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