Small generic hardcore subsets for the discrete logarithm: Short secret DL-keys

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Small generic hardcore subsets for the discrete logarithm: Short secret DL-keys

Let G be a group of prime order q with generator g. We study hardcore subsets H ⊂ G of the discrete logarithm (DL) logg in the model of generic algorithms. In this model we count group operations such as multiplication and division, while computations with non-group data are for free. It is known from Nechaev [Math. Notes 55 (1994) 165] and Shoup [Lecture Notes in Comp. Sci., Vol. 1233, Springe...

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ژورنال

عنوان ژورنال: Information Processing Letters

سال: 2001

ISSN: 0020-0190

DOI: 10.1016/s0020-0190(00)00173-3