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Black-Box Models of Computation

In: Black-Box Models of Computation in Cryptology

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  • Tibor Jager

Abstract

Several abstract models of computation have been proposed in the literature to capture the notion of “generic groups” or their extensions [BS84, Nec94, Sho97, Mau05]. The black-box model we are going to describe in the sequel is a generalization of the model introduced by Maurer in [Mau05], which in turn can be seen as a generalization of the model of [Sho97]. While Maurer's model captures only the case where a generic algorithm operates on elements of a single algebraic structure, like a group or a ring, we extend this model in order to be able to describe settings where more than one algebraic structure is considered, as in pairing-based cryptography [DBS04], for instance.

Suggested Citation

  • Tibor Jager, 2012. "Black-Box Models of Computation," Springer Books, in: Black-Box Models of Computation in Cryptology, chapter 2, pages 5-13, Springer.
    • Handle: RePEc:spr:sprchp:978-3-8348-1990-1_2
    DOI: 10.1007/978-3-8348-1990-1_2
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