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OCR Texterkennung für MAC | MacUser.de Community
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since the emulated timings & and i3 can vary from the actual timings t 2 and t 3 , respectively. Although conceptually simple, Kocher s technique gives a powerful and practical approach to conducting a timing attack on an RSA implementation that uses repeated squaring (but not CRT or Montgomery multiplication). For the attack to succeed, the variance of the error term u must not vary too greatly between the different cases that are tested. Assuming that a simple repeated squaring algorithm is employed, this would almost certainly be the case since u only includes loop overhead and timing error. For more advanced modular exponentiation techniques, var (u) could differ greatly for different emulated bits, effectively masking the timing information needed to recover the bits of d. The amount of data required for Kocher s attack (that is, the number of chosen decryptions that must be timed) depends on the error term u. Note that timings can be reused as bits of d are determined, since, given additional bits of d , only the emulation steps need t o change. Therefore, the required number of timings is not nearly as daunting as it might appear at first blush. The major limitation to Kocher s attack is that repeated squaring, without CRT or Montgomery multiplication, is only used in RSA implementations in highly resource-constrained environments, such as smartcards. In [85], Kocher argues that his timing attack-as discussed in this section--should work for RSA implementations that employ CRT. However, Schindler [129] (among others) disputes this assertion. The next two timing attacks we discuss will succeed against RSA implementations that utilize more highly optimized modular exponentiation techniques.



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Capture2Text
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If you re new to ActionScript 3.0, this book works well from front to back. However, after learning the language in Part I, ActionScript 3.0 Language Basics, and for readers with some AS3 experience, you can jump around as you desire to the topic that you d like to learn about. Topics may require knowledge of preceding chapters, but these are cross-referenced for your bene t.





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Stacks are useful when your program needs to deal with new information as it comes in but retain the older information to refer to it later. Imagine an alert system that displays a current threat level as a color. When the alert level rises, it might go from green to yellow and return to green when the threat has passed. The push() method takes one or more objects as parameters and adds them all in order to the end of the array. That is, the objects are added to the last index of the array, making these two statements identical:

Recall that the notation (Y)i.,.jis used to represent bits i through j of Y , where the bits are numbered from left-to-right, beginning with 0. Also, we use the notation (Y = 0)i...j to denote that bits i through j of Y are all 0. Dobbertin s continuous approximation algorithm can be stated as follows:

myArray.push(myValue); myArray[myArray.length] = myValue;

{} {G1,G2,G3,G4,G5} {B} {G1,G2,G3,G4} {C} {G3,G4,G5}

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Whether you choose to use a formal stack structure or not, the push() method is a quick and useful way to add elements to the end of your array without being bothered to keep track of indices. The pop() method, conversely, takes no arguments. It removes and returns the last element of the array.

1. Let Q11 = 0, Q12 = -1, and Qi2 = 0, as specified in (5.27).

Applying Queue Operations shift() and unshift()

Similar to stacks are another type of data structure called queues. Queues are lists that work in a rst in, rst out (FIFO) fashion. This could be related to a line of people waiting for tickets at the movie theater. The rst person in line is the rst person to get a ticket. The next person in line is the next to buy, and so on. Each time a person buys a ticket, he leaves the line and the rest of the line shifts forward one to ll his space. Arrays can also push elements to the end and then shift them off the front using, you guessed it, the shift() method. Example 8-3 creates the movie queue example using this technique. EXAMPLE 8-3

2. Select Q14,

var queue:Array = new Array(); queue.push("Anja"); queue.push("James"); queue.push("Will"); trace(queue); //Anja,James,Will var person:String = String(queue.shift()); trace(person); //Anja trace(queue); //James,Will

{A,B} {G1,G2}

Q15r Q l 6 1 Q17, Q18,

As you can see, the rst person added to the list was the rst person shifted off. The shift() method returns the value removed from the array. If shifting is taking elements off the front of the array, unshifting must be adding elements to the front of the array. Keep in mind this is cutting in line, though! Arrays can also call unshift() to add any number of elements to the front of the array just like push() adds elements to the end of an array.

Queues can be useful when you have data that needs to be processed in a rst-come, rst-served manner, such as if you want to load several images from a server, one at a time. You ll want the rst image to load before moving on to the next, shifting each one until all the images are done loading in the exact order you speci ed.

5. At this point, all of the equations (5.28) through (5.32) are satisfied, as well as the check condition (5.35). We now find a sequence of solutions that converge to a solution that also satisfies the second check condition (5.36). Denote the values specified in step 2 as the basic variables and let j be the smallest index for which

Stack and queue operations are not mutually exclusive. They can be used alone or together in any array.

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7 Best Free OCR Software Apps to Convert Images Into Text
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