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Export your Web Page by clicking Export Web Pages in the top right of the Webpage Editor. This opens a standard Save dialog, except there are two extra pop-up menus below it. The pop-up menus allow you to choose what Web export presets to use for your thumbnails and for the detail images. To create your own Web export presets, choose Edit from either pop-up menu. The options are nearly identical to the image export presets covered earlier in the chapter. When you click Export, Aperture creates a folder in the specified location on your hard drive with your Web site, which you can then upload to your Web server. If you have a MobileMe account and want to upload your Web site to HomePage (note that this is not a fancy MobileMe gallery, which we cover later in this chapter, but rather the Web site you just created hosted on MobileMe), click Publish to MobileMe. This opens the Publish to MobileMe sheet displayed in Figure 8.22. Give your Web site a name, note the URL and how it includes the name, pick your thumbnail and detail image presets, and click Publish to export and upload your site to MobileMe.

Now suppose that we correctly guess the cipher rotor settings at some point in time We can then generate each of the 30 possible subsequent permutations and determine which are consistent with the next known plaintext letter That is, we can test each of these 30 subsequent permutations t o see which (if any) encrypt the next known plaintext letter to the corresponding ciphertext letter For each surviving permutation, we can repeat this process using the next known plaintext letter and so on Modeling the encryption permutations as uniformly random, the matches follow a binomial distribution with p = 1/26 and n = 30, yielding an expected number of matches of 30/26 x 1154 per step This can be viewed as a branching phenomenon, where the number of possible paths tends to increase with each known plaintext letter analyzed.

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A different technique of weight initialization is due to Su et a/., where the objective is to define a large enough hyper cube to cover all the training patterns [Su et al. 1999]. The algorithm starts by finding the four extreme points of the map by determining the four extreme training patterns. Firstly, two patterns are found with the largest inter-pattern Euclidean distance. A third pattern is located at the furthest point from these two patterns, and the fourth pattern with largest Euclidean distance from these three patterns. These four patterns form the corners of the map. Weight values of the remaining neurons are found through interpolation of the four selected patterns, in the following way: Weights of boundary neurons are initialized as

That is, at each step, the number of possible paths increases, which seems to be the opposite of what we would like to see occur Nevertheless, we can obtain useful information from this process, as outlined below, but first we consider a simple example Suppose we have selected five of the ten available candidate rotors as cipher rotors, and we have placed them in a specified order and selected their orientations This, together with the initial positions of the selected cipher rotors constitutes a putative setting Consider, for example, the case where these cipher rotors are set to AAAAA, that is, each of the five cipher rotors is initialized to A Then we know the putative encryption pcrmutation and if it does riot encrypt the first known plaintext to the first known ciphertext, this cipher rotor setting is not causal and we can discard it.

8.22 The Publish to MobileMe sheet allows you to export a Web site and upload it to MobileMe with just a couple of clicks.

This immediately reduces the number of candidates by a factor of 26, since there is only a 1/26 chance of a letter matching at random Suppose that the first letter does match Then we must try all 30 possible steps of the five cipher rotors arid save any of these that encrypt the second plaintcxt letter to the second ciphertext letter Since we make 30 comparisons, The expected number of matches that occur at random is, as mentioned above, 30/26 M 1154 An example of this process is illustrated in Figure 220 In this example, the first letter is consistent with the initial setting AAAAA, and the first three letters are consistent with each of the given paths Note that at the third plaintext letter in Figure 220 we have two paths ending at BBBBA.

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