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Until now, we have focused on block-based symmetric encryption schemes, in which blocks of plaintext are encrypted at once. There exists another class of symmetric encryption schemes, called stream ciphers. In a stream cipher, one byte of plaintext is encrypted at a time, rather than 64, 128, or more bits at time. Stream ciphers are, in general, much faster than block ciphers. In a stream cipher, an infinite sequence of random bits is generated for use as the key, so the key bits are never reused. The theoretical motivation behind these stream ciphers is to attempt to approximate a theoretical encryption scheme called a one-time pad.

Default and named parameters are very useful features, but we need to warn you of a subtle potential problem. Although they are more-or-less equivalent to providing a bunch of different function overloads, as far as the syntax for the caller goes, under the covers, they are implemented very differently. The compiler marks a parameter to indicate that it is optional using the OptionalAttri bute and there s a DefaultParameterValueAttribute to specify a default value. These two attributes have been around for quite a while they were originally added for the benefit of Visual Basic, long before C# started using them. (Attributes are discussed in 17.) When you call a method (or constructor), the C# compiler always emits a complete call the compiled code passes a full set of arguments to the method, even if your source code left some arguments out. For example, in our Plane example, if you wrote:

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SendMessage("SomeMessage");

Note If you want to know more about schemas, a great place to start is Wikipedia s article at http://

but the Plane class only has the method shown in Example 3-34, the compiler actually generates code equivalent to this:

SendMessage("SomeMessage", default(TimeSpan));

In other words, it plugs in the default value at compile time. This means if you re using some external library that uses default values, and a newer version of the library comes out that changes the default values for some method or constructor, your code won t pick up those new values unless you recompile your code. There s also a subtler problem you can run into. Some parts of the .NET Framework require you to provide a particular constructor overload. For example, it you write a custom control for WPF, and you want to use it from Xaml, it must have a default constructor. (WPF and Xaml are described in 20.) If all your constructors take parameters, then even if you provide default values for all the parameters, that s not good enough. You can write, say, new MyControl() in C#, but only because the C# compiler is implicitly passing the missing values for you. Not everything in the world of .NET understands the concept of default arguments. (C# itself didn t until version 4.0.) Sometimes only a genuine no-arguments constructor will do.

A one-time pad is a cipher in which plaintext is XORed with a random stream of bits of the same length as the plaintext A one-time pad is an encryption function in which the plaintext bits are XORed with a key stream A one-time pad is named as such because the key should be used exactly once If an attacker is able to get one bit of plaintext and one bit of corresponding ciphertext, the attacker could simply XOR the two together to recover the key bit! Hence, that key bit should never be used again if Alice and Bob want to securely exchange messages Instead, we d like the key to stay secret even if an attacker obtains many plaintext/ciphertext pairs One-time pads are impractical because using a key that is the same size as the plaintext typically incurs too much overhead.

This is not just limited to normal methods you can use this same syntax to provide default values for parameters in your constructors, if you wish. Being forced to delete the extra constructor we tried to add back in Example 3-31 was a little disappointing we re constraining the number of ways users of our type can initialize it. Named arguments and default values have helped, but can we do more

Until C# 3.0, the only real solution to this was to write one or more factory methods. These are described in the sidebar below. But now we have another option.

A factory method is a static method that builds a new object. There s no formal support for this in C#, it s just a common solution to a problem a pattern, as popular idioms are often called in programming. We can get around the overload ambiguity problems by providing factory methods with different names. And the names can make it clear how we re initializing the instance:

public static PolarPoint3D FromDistanceAndAngle( double distance, double angle) { return new PolarPoint3D(distance, angle, 0); } public static PolarPoint3D FromAngleAndAltitude( double angle, double altitude) { return new PolarPoint3D(0, angle, altitude); }

Why would we want to use such an impractical encryption scheme Claude Shannon proved that one-time pads offer a property called perfect secrecy Perfect secrecy means that under a brute-force attack, every possible decryption is equally likely Consider a scenario in which an attacker gets hold of some ciphertext that was encrypted using a one-time pad The attacker could try a brute-force attack in which she tries decrypting by using every possible combination of key The result of the attacker s decryptions is a list containing one copy of every possible plaintext The brute-force attack yields no information about the plaintext (which is, in general, not true of any imperfect cipher) Hence, since one-time pads offer information theoretic advantages such as perfect secrecy, they would be great to use if we didn t need to have an infinite key.

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