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2.17 The Time Zone settings map on the G11. You can select and store your home time zone and the time zone of any location you are travelling to.

170,044.5321

2,214.6566

If we compare these bits to the keystream bits Ici in Table 3.3, we find 15 of the 31 bits match, that is, about 1/2 of the bits match, which implies that, 111 is not the correct initial fill of X . On the other hand, if Trudy tries the correct initial fill for X , namely, 011, she finds 26 matches, as can be seen in Table 3.3. Since this is close to the expected number of matches for the correct initial fill, Trudy can assume that she has found the initial fill of X . For this particular combining function f , Trudy can apply the same technique to recover the initial fill of 2, and with knowledge of the X and 2 fills, she can easily recover the initial fill of Y . In this example, the work required for the correlation attack is on the order of 2 2 + 2 4 + 23 < 25,

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123.922 2 20

2,214.6566

while a nai've exhaustive key search attack has a work factor if 2". In general, if there are n shift registers of sizes No, N1,. . . , Nn-l, respectively, then the work for an exhaustive key search attack is

123.922 11,843.212 20

10.17744 0.68088

which highlights the strength of this method of attack. This type of correlation attack is a classic divide and conquer approach. Stream ciphers based on designs such as that in Figure 3.8 must) be correl t o immune, ain that is, the conibining function f must not leak information about, the individual shift registers. Many techniques have been proposed

x 1

114.9474821.196

The tted simple linear regression model (with the coef cients reported to three decimal places) is

to combine shift registers in ways that are intended to frustrate correlation attacks. For example, in A5/1 (used in the GSM cell phone system), the shift registers step irregularly, while in Eo (used in Bluetooth) the stepping function includes memory of previous stepping, again, creating irregular motion. For more information on correlation attacks, see [77, 991, Siegenthaler's original paper [135] or Golit's survey in [58]. Next, we turn our attention to three specific stream ciphers. The first of these, ORYX, is based on shift registers. However, the attack on ORYX that we consider does not rely on any correlation properties or similar features of the shift registers. Instead, other weaknesses in the design of ORYX are exploited. This attack is relatively straightforward, but is does require that we delve into the inner workings of the cipher. Neither RC4 nor PKZIP-the other two stream cipher we discuss in this chapter-are based on shift registers. Instead, these ciphers are designed to be implemented in software, which makes them somewhat unusual in the world of stream ciphers. The attacks on these two ciphers are both relatively complex, with the PKZIP attack being the more intricate of the two.

14.947 x

If you travel outside of North America and want to play back images or movies on a video or TV monitor, you may have to change your Video System setting. Choose between the following two settings: NTSC. NTSC is the video system or standard used in North America and most of South America. In NTSC, 30 frames are transmitted each second. Each frame is composed of 525 individual scan lines. PAL. PAL is the predominant video system or standard mostly used overseas. In PAL, 25 frames are transmitted each second. Each frame is made up of 625 individual scan lines.

This model is plotted in Fig. 11-4, along with the sample data. Computer software programs are widely used in regression modeling. These programs typically carry more decimal places in the calculations. Table 11-2 shows a portion of the output from Minitab for this problem. The estimates 0 and 1 are highlighted. In subsequent sections we will provide explanations for the information provided in this computer output.

Oryx \O"ryx\, n. A genus of African antelopes which includes the gernsbok, the leucoryx, the bisa antelope (0. beisa), and the beatrix antelope (0. beatrix) of Arabia. - dictionary.net

Using the regression model of Example 11-1, we would predict oxygen purity of y 89.23% when the hydrocarbon level is x 1.00%. The purity 89.23% may be interpreted as

99 Oxygen purity y (%)

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