Overview
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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Details
- ISBN-13: 9783834819895
- ISBN-10: 3834819891
- Publisher: Vieweg+teubner Verlag
- Publish Date: March 2012
- Dimensions: 8.27 x 5.83 x 0.21 inches
- Shipping Weight: 0.28 pounds
- Page Count: 86
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