Black-box Models Of Computation In Cryptology

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    Black-Box Models of Computation in Cryptology
    By: Tibor Jager
    Publisher:
    Vieweg+Teubner Verlag
    Print ISBN: 9783834819895, 3834819891
    eText ISBN: 9783834819901, 3834819905
    Copyright year: 2012
    Format: PDF
    Available from $ 84.99 USD
    SKU 9783834819901
    Generic group algorithms solve computational problems defined over algebraic groups without exploiting properties of a particular representation of group elements. This is modeled by treating the group as a black-box. The fact that a computational problem cannot be solved by a reasonably restricted class of algorithms may be seen as support towards the conjecture that the problem is also hard in the classical Turing machine model. Moreover, a lower complexity bound for certain algorithms is a helpful insight for the search for cryptanalytic algorithms. Tibor Jager addresses several fundamental questions concerning algebraic black-box models of computation: Are the generic group model and its variants a reasonable abstraction? What are the limitations of these models? Can we relax these models to bring them closer to the reality?
     

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