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9.1.3.1 RSA and Dif e Hellman Although there are a few different algorithms that can be used for public key encryption, we will only mention two of them. The RSA algorithm [Rivest78] is one of the oldest yet still the most popular public key cryptographic algorithm. It is based on the computational dif culty of factoring large numbers into component prime factors. Typically, a user generates a key pair of size 1024 bits (although the best practice is moving to 2048 bits). The RSA block size is typically the same as the key length. The Dif e Hellman algorithm [Dif e76] does not directly perform encryption. It is an algorithm run between two parties. Each party performs a calculation based on secret information. This secret information is not preshared with the other party. Instead, the two parties exchange some public results of those calculations with each other and then perform another calculation. The algorithm ensures that both parties will have calculated the same result, which can then be treated as a secret key and used with a subsequent conventional cryptographic algorithm such as AES. Dif e Hellman is an example of a class of algorithms known as key agreement algorithms. 9.1.4 Digital Signatures

M, and Horton, WE (1998) In vivo cartilage formation from growth factor modulated articular chondrocytes Clin Orthop 352: 239 249 Brittberg, M, Lindahl, A, Nilsson, A, Ohlsson, C, Isaksson, O, Peterson, L (1994) Treatment of deep cartilage defects in the knee with autologous chondrocyte transplantation N Engl J Med 331: 889 895 Brittberg, M, Nilsson, A, Lindahl, A, Ohlsson, C, Peterson, L (1996) Rabbit articular cartilage defects treated with autologous cultured chondrocytes Clin Orthop 326: 270 283 Brown, DG, Johnson, NF, Wagner, MM (1985) Multipotential behaviour of cloned rat mesothelioma cells with epithelial phenotype Br J Cancer 51: 245 252 Cao, Y, Vacanti, JP, Paige, KT, Upton, J, Vacanti, CA.

Some patients do not respond well to rescripting the memory itself It may be useful for these patients to imagine the period of time just after a very upsetting experience They then imagine their current adult self entering the image and dialoguing with their younger self, helping the younger self understand what has happened in a different way that is less damaging to the child s sense of self..

FIGURE 11.9 Wristwatch receiver. (Garmin International.)

FM, its predictability may vary across disorders Whereas the pain of OA is usually exacerbated by activity, the pain of RA and FM does not necessarily follow a predictable pattern This increase in pain unpredictability may affect the degree of perceived stress experienced by individuals with RA and FM Furthermore, the pain of RA, OA, and FM may differ in terms of ambiguity For instance, while the pain of RA and OA stem from identi able disease processes, the pain of FM has no known cause This ambiguity may be a source of increased perceived stress in individuals with FM Thus, not only do individuals differ in their appraisal of stressful events, there may be disease-speci c effects on appraisal as well Pain sensations have evolved to allow individuals to take notice of harm and reduce activity in order to heal.

which is the vector corresponding to the ith column of H . Hence looking at H r, we can nd which position of the vector was corrupted. Reversing this bit will give us a codeword. This yields a simple procedure for correcting one error in the received sequence. We have constructed a codebook with 16 codewords of block length 7, which can correct up to one error. This code is called a Hamming code. We have not yet identi ed a simple encoding procedure; we could use any mapping from a set of 16 messages into the codewords. But if we examine the rst 4 bits of the codewords in the table, we observe that they cycle through all 24 combinations of 4 bits. Thus, we could use these 4 bits to be the 4 bits of the message we want to send; the other 3 bits are then determined by the code. In general, it is possible to modify a linear code so that the mapping is explicit, so that the rst k bits in each

In the context of RA and OA, which involve identi able disease processes, this is an adaptive response However, in FM, there is a paradox; pain messages signal that something is wrong and that the individual should reduce activity, yet the pain is of benign origin As a result, individuals with FM experience a discrepancy between an experience of chronic pain and the fact that the pain symptoms do not represent an underlying tissue pathology This discrepancy may be partially responsible for the doctor shopping commonly exhibited in this group, as individuals with FM attempt to nd a physician who will acknowledge their experience of pain It is also possible that individuals differ in their appraisal of the discrepancy.