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Titlebook: Coding Theory, Cryptography and Related Areas; Proceedings of an In Johannes Buchmann,Tom Høholdt,Horacio Tapia-Recill Conference proceedin

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Worst-Case Analysis of an Algorithm for Computing the Greatest Common Divisor of , Inputs,We give an exact worst-case analysis of an algorithm for computing the greatest common divisor of n inputs. The algorithm is extracted from a 1995 algorithm of de Rooij for fixed-base exponentiation.
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A Public Key Cryptosystem Based on Sparse Polynomials,d give some security analysis. Some preliminary timings are presented as well, which compare quite favourably with published optimized RSA timings. We believe that similar ideas can be used in some other settings as well.
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Miller B. McDonald,Lawrence O. Copelandruik and van Tilburg [8] improved the Rao-Nam cryptosystem. However, the size of the key remains a practical problem also for their improved scheme. We discuss several modifications of the improved Rao-Nam system. The goal of these modifications is to reduce the amount of secret key that needs to be
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