Black-Box Models of Computation in Cryptology

Jager, Tibor

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?

Details

Published by: Vieweg+Teubner Verlag

Publication Date: 2012-03-22

Format: Paperback

ISBN-13: 9783834819895

DOI: 10.1007/978-3-8348-1990-1

Dimensions: 210cm x148cm

Pages: 86