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Hash functions, as used in the world of cryptography, have some similarities to and differences from traditional hash functions. Hash functions in the world of computer science map a long string to a shorter one. Hash functions are used, for instance, to help construct hash tables in which data is stored into buckets for quick accesses. A hash function is used to determine which bucket the data should be placed in. As such, the goal of a traditional hash function is to evenly balance the data across all the buckets in the hash table. However, cryptographic hash functions have additional goals. A secure cryptographic hash function H takes as input some (potentially large) string M. It produces a message digest, MD = H(M), that has a few properties: 1. Efficiency: It should not take a lot of computational time or CPU cycles to compute H(M) even for a potentially large message. 2. Pre-image resistance: Given H(M), it should be computationally infeasible to determine M. M is often called the pre-image of the hash H(M), and H is sometimes referred to as a one-way function. 3. Collision resistance: It is computationally infeasible to find two distinct input messages M1 and M2 (M1 M2) for which H(M1) = H(M2).

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Predicate<Document> predicate = doc => !doc.Text.Contains(" ");

Compact, isn t it! For a lot of developers, this syntax takes some getting used to, because it is completely unlike anything they ve ever seen before. Where are the type declarations Is this taking advantage of some of these dynamic programming techniques we ve heard so much about The short answer is no (but we ll get to dynamic typing in 18, don t worry). One of the nicer features of lambda expression syntax is that it takes care of working out what types the various parameters need to be, based on the context. In this case, the compiler knows that it needs to produce a Predicate<Document>, so it can infer that

the parameter type for the lambda must be a Document. You even get full IntelliSense on your lambda parameters in Visual Studio.

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7 Nov 2011 ... Utils { /// <summary> /// Parses a PDF file and extracts the text from it. ... outFile = null; try { // Create a reader for the given PDF file PdfReader reader = new ...

It is well worth getting used to reading and writing lambdas; you ll find them to be a very useful and expressive means of defining short functions, especially when we look at various aspects of the LINQ technologies and expression composition in later chapters. Most developers, once they get over the initial comprehension hurdles, fall in love with lambdas I promise!

The delegates we ve seen so far have taken one or more parameters, and returned either void (an Action<>) or a bool (a Predicate<T>). But we can define a delegate to any sort of function we like. What if we want to provide a mechanism that allows the client to be notified when each processing step has been completed, and provide the processor with some text to insert into a process log Our callback delegate might look like this:

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A traditional hash function that, say, simply adds the ASCII values of the characters in the message together does not satisfy all these properties. For instance, such a traditional hash function does not exhibit collision-resistance, as the messages AB and BA have the same hash value even though they are different messages. Also, note that checksum functions, such as CRC32, are used to provide redundancy checks against communication errors and may be efficient, but in general are not one-way or collision-resistant. Cryptographic hash functions use much more sophisticated techniques to ensure pre-image and collision resistance properties. Two real-world examples of hash functions that are commonly used in building security protocols are MD5 and SHA-1. MD5 is an acronym that stands for Message Digest 5, and it was developed by Ron Rivest, who also contributed to the development of the RSA asymmetric cipher. MD5 takes as input multiples of 512 bits. If a message is not a multiple of 512 bits, the message can be padded such that it becomes a multiple of 512 bits. MD5 produces a 128-bit message digest as output. SHA-1 is another hash function that takes 512 bits of input at a time, but its output is 160 bits instead of 128. SHA-1 was developed by collaboration between NIST and NSA. Over the past few years, there have been some attacks constructed against the collision resistance properties of MD5 and SHA-1. We briefly discuss these attacks in Section 15.4, after describing how these hash functions are used in MAC and digital signature schemes.

delegate string LogTextProvider(Document doc);

We could add a property to our DocumentProcessor so that we can get and set the callback function (see Example 5-16).

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class DocumentProcessor { public LogTextProvider LogTextProvider { get; set; } // ... }

And then we could make use of it in our Process method, as shown in Example 5-17.

public void Process(Document doc) { // First time, do the quick check foreach (ActionCheckPair process in processes) { if (process.QuickCheck != null && !process.QuickCheck(doc)) { Console.WriteLine("The process will not succeed."); if (LogTextProvider != null)

15.2. Message Authentication Codes (MACs)

{

}

}

Console.WriteLine(LogTextProvider(doc)); } return;

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