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A simple example of the use of the Euclidean algorithm for factorizing two integer numbers was introduced in the previous chapter. This algorithm is now utilized for solving the key equation in the decoding of RS codes [3]. The key equation is of the form (X )S(X ) (X )X n k = W (X ) The algorithm is applied to the polynomials X n k and S(X ) so that the ith recursion is ri (X ) = si (X )X n k + ti (X )S(X ) and deg{ri (X )} On the other hand, W (X ) = ri (X ) (X ) = ti (X ) where is a constant that converts the polynomial into a monic polynomial. Example 5.5: For the RS code CRS (7, 3) de ned over GF(23 ), generated by the primitive polynomial pi (X ) = 1 + X 2 + X 3 , and for the received vector r = (000 000 011 000 111 000 000), determine using the Euclidean algorithm the error polynomial and the decoded vector. According to the received vector, the received polynomial is equal to r (X ) = 6 X 2 + 4 X 4 (31) n k +1 2 (30) (29)

where i 1; R ; l 1; m ; t 2; 3; . . . IF 9j*jvij*lt < e ilt AND n > 10 THEN remove j* p where i 1; R ; l 1; m ; k 2; 3; . . .

where rk is bounded by Rmax. This setting is feasible only if the resulting MSI of i link i at slot k is nonnegative, that is, X pk hii i Zi Tf s2 Pk hji ! 0 j gi rk i j 1

The other four wires are used to sense the wheel s rotation. I discuss those wires and the sensors they go to in 6. Also visible in Figure 5-1 is the spring and pivot point (the X-shaped bit toward the bottom) that enables the spring-loaded aspect of the Roomba wheels. By making the wheels spring-loaded, the Roomba is always pressing down on the ground and getting positive traction, even if it s not entirely level (for example, when it drives over cables or transitions from a rug to a hard floor). With the main cover unscrewed (see Figure 5-2), it s easy to see that the unit consists of an electric motor and a gearbox, joined by a rubber drive belt. The belt was chosen instead of gearing probably because a belt offers more resistance to dirt and offers a fail-safe ability to slip in case the wheel can t turn but the motor continues to run. The slotted wheel on top of the gearbox is part of the drive sensor. That it s after the belt means that it won t measure any of the slipping, which makes for more accurate odometry. Inside the triple-sealed gearbox is the planetary (also called epicyclic) gearing system (see Figure 5-3). The shaft driven directly by the motor is the sun gear and the two sets of three planet gears connect to the wheel. The gearing on the inside of the gearbox is called the annulus and keeps the planet gears in place.

This older version of Outlook cannot view e-mail in plain text because it is automatically con gured to reply to an e-mail in the same format as the original message. For this reason, it is recommended that you upgrade to a newer version of Outlook.

This technique is slightly better because it does not produce a universal pattern across all files that have had data hidden in them using this technique. If a user picks the same variable each time he or she runs the program, though, a pattern would be introduced. One way to fix this problem is to set up the technique to pick the number of characters randomly or embed white space in other areas, such as tables.

my $contacts = $gmail->get_contacts( frequent => 1 );

Watch for wandering eyes: An easy way for a thief to steal your passwords or other sensitive information requires no technology: all he or she has to do is look over your shoulder while you type. Keep