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This book gives an introduction to classical Diffie-Hellman Key Exchange and its variant for elliptic curves. The needed mathematical background is given and the discrete logarithm problem is shortly introduced, but the main focus is on algorithms for modular multiplication and correspondingly for scalar multiplication. The theoretical complexity of the needed IEEE algorithms is analyzed and compared to the experimental results achieved from a small scale performance evaluation of one cryptographic library that has an implementation of these algorithms.
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