Black-Box Models of Computation in Cryptology
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?
What people are saying - Write a review
2 BlackBox Models of Computation
3 On BlackBox Ring Extraction and Integer Factorization
4 Analysis of Cryptographic Assumptions in the Generic Ring Model
5 The Generic Composite Residuosity Problem
6 SemiGeneric Groups and Their Applications