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Employing product serial numbers to deter software pirates is one of the most common ways to combat software piracy. The idea is simple: The software vendor ships each copy of the software with a unique serial number printed somewhere on the product package or on the media itself. The installation program then requires that the user type in this number during the installation process. The installation program verifies that the typed number is valid (by using a secret validation algorithm), and if it is the program is installed and is registered on the end user s system. The installation process usually adds the serial number or some derivation of it to the user s registration information so that in case the user contacts customer support the software vendor can verify that the user has a valid installation of the product. It is easy to see why this approach of relying exclusively on a plain serial number is flawed. Users can easily share serial numbers, and as long as they don t contact the software vendor, the software vendor has no way of knowing about illegal installations. Additionally, the Internet has really elevated the severity of this problem because one malicious user can post a valid serial number online, and that enables countless illegal installations because they all just find the valid serial number online.

Notes: Dead load to live load ratio assumed to be, D/L = 3.7; load factors taken as D = 1.3 and = 2.17. Were these calculations performed with the current AASHTO (1997) load factors of D = 1.25 and = 1.75, the corresponding resistance factors would be 5 20% lower (Withiam et al. 1998).

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One simple improvement to the serial number protection scheme is to have the program send a challenge response [Tanenbaum1] to the software vendor. A challenge response is a well-known authentication protocol typically used for authenticating specific users or computers in computer networks. The idea is that both parties (I ll use good old Alice and Bob) share a secret key that is known only to them. Bob sends a random, unencrypted sequence to Alice, who then encrypts that message and sends it back to Bob in its encrypted form. When Bob receives the encrypted message he decrypts it using the secret key, and confirms that it s identical to the random sequence he originally sent. If it is, he knows he s talking to Alice, because only Alice has access to the secret encryption key. In the context of software copy protection mechanisms, a challenge response can be used to register a user with the software vendor and to ensure that the software product cannot be used on a given system without the software vendor s approval. There are many different ways to do this, but the basic idea is that during installation the end user types a serial number, just as in the original scheme. The difference is that instead of performing a simple validation on the user-supplied number, the installation program retrieves a unique machine identifier (such as the CPU ID), and generates a unique value from the combination of the serial number and the machine identifier. This value is

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the design point, at a particular point on the limiting state surface, and calculating the reliability index, , separating that point from the joint mean of the uncertain load and resistance variables. The design point is taken as that point on the limiting state surface at which the probability density of the joint random variables is greatest. To simplify the procedure, the calculation of is made in a normalized space of derived random variables, in which each derived variable has unit variance and is independent of all other derived variables. In this derived space, the shortest distance between the joint mean of the derived variables and the state limit function identi es both the design point and the reliability index. The method yields partial safety factors for loads and resistances at a speci ed target reliability index, T . As discussed in 16, this procedure has the advantage over FOSM of greater invariance with respect to the mathematical de nition of limiting state. De ne the limit state function as, g(X) = g(X1 , X2 , . . . , Xn ) = 0 (18.19)

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