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Master of science Mathematics: A thesis submitted to the graduate faculty in partial fulfillment of the requirements for the degree

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Master of science Mathematics: A thesis submitted to the graduate faculty in partial fulfillment of the requirements for the degree

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These formal definitions often seem far stronger than necessary for practical security — many cryptosystems used in practice do not satisfy the formal definitions. This includes typical ElGamal implementations. The attacks discussed in this paper suggest that it is worth striving to meet formal definitions of security in actual implementations.

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