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Nevertheless, the attack outlined above offers a dramatic shortcut as compared to an exhaustive key search, which, under the assumptions of this section, would have a work factor of about 295 Problem 33 suggests one method for improving the attack described in this chapter For the definitive treatment of this attack-including several improvements over the outline given in this chapter-see [28]..

X2 2

and variance 2 , so testing hypotheses about the difference between 1 and D accomplished by performing a one-sample t-test on D. Speci cally, testing H0: 0 against H1: 1 2 0 is equivalent to testing H0: H1: The test statistic is given below. The Paired t-Test D 0 SD 1n

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IS mode sets the Image Stabilization control for the lens of the G11. As previously described, image stabilization is a technology that helps your lens achieve sharp photos of moving subjects or when shooting in low-light situations. To speed up shooting and focusing time, always remember to set this option to Off when using a tripod. Options for the IS mode are: Continuous. IS is fully engaged at all times. This allows you to see sharp images on the LCD monitor to check focus or composition qualities. Shoot Only. IS is turned on only at the moment of shooting. This may be desirable if shooting quickly and you only want IS on at the moment you take the picture. Panning. A great mode for sports and action shooting, the Panning option turns off the horizontal sensors of IS and only corrects any up or down movement of the camera or subjects it detects. Because the horizontal sensors are off in this mode, holding the camera in vertical orientation and panning will not engage the IS system.

Recall from (2.8), above, that Sigaba, as typically used in WWII, had a keyspace of size 248.4,which implies that an exhaustive key search has a work factor of 247.6. However, the Sigaba-encrypted POTUS-PRIME link between Roosevelt and Churchill used the full keyspace of more than 95 bits. It is ciirious that keyspaces of these sizes were chosen. From the designers perspective, there would be no incentive to have a keyspace that is larger than a known shortcut attack, since a larger keyspace entails more secret settings and consequently more chance for errors and miscommunication. In WWII, a work factor of 247.6 would certainly have been untouchable, particularly for tactical communications. Nevertheless, for the strategically important communication between Allied leaders, it would be reasonable t o

(10-21)

Null hypothesis: H0: Test statistic:

use a larger key size, provided that the larger key actually yields additional security. Based on this logic, it would seem likely that the designers of Sigaba believed that the cipher provided a full 95 bits of security. However, in this section, we have outlined an attack that requires much less than 95 bits of work. and it is possible to improve on the attack presented here: see [as]. In any case, it would be interesting to know more about the Sigaba attacks that were considered by Rowlett and Friedman, and their reasons for choosing the key sizes as they did.

H1: H1: H1:

0 0 0

In Equation 10-22, D is the sample average of the n differences D1, D2, p , Dn, and SD is the sample standard deviation of these differences. EXAMPLE 10-9 An article in the Journal of Strain Analysis (1983, Vol. 18, No. 2) compares several methods for predicting the shear strength for steel plate girders. Data for two of these methods, the Karlsruhe and Lehigh procedures, when applied to nine speci c girders, are shown in Table 10-2. We wish to determine whether there is any difference (on the average) between the two methods. The eight-step procedure is applied as follows: 1. The parameter of interest is the difference in mean shear strength between the two methods, say, D 0. 1 2 2. H0: D 0

Summary

Table 10-2 Strength Predictions for Nine Steel Plate Girders (Predicted Load/Observed Load) Girder S1 S2 S3 S4 S5 S2 S2 S2 S2 1 1 1 1 1 1 2 3 4 Karlsruhe Method 1.186 1.151 1.322 1.339 1.200 1.402 1.365 1.537 1.559 Lehigh Method 1.061 0.992 1.063 1.062 1.065 1.178 1.037 1.086 1.052 Difference dj 0.119 0.159 0.259 0.277 0.138 0.224 0.328 0.451 0.507

3. 4. 5.

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