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Discrete logarithm
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== Comparison with integer factorization == While computing discrete logarithms and integer factorization are distinct problems, they share some properties: * both are special cases of the [[hidden subgroup problem]] for [[finite abelian group]]s, * both problems seem to be difficult (no efficient algorithms are known for non-[[quantum computer]]s), * for both problems efficient algorithms on quantum computers are known, * algorithms from one problem are often adapted to the other, and * the difficulty of both problems has been used to construct various [[cryptographic]] systems.
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