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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Jager, Tibor (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Wiesbaden : Vieweg+Teubner Verlag : Imprint: Vieweg+Teubner Verlag, 2012.
Edición:1st ed. 2012.
Temas:
Acceso en línea:Texto Completo

MARC

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505 0 |a Black-Box Models of Computation -- On Black-Box Ring Extraction and Integer Factorization -- On the Analysis of Cryptographic Assumptions in the Generic Ring Model -- The Generic Composite Residuosity Problem -- Semi-Generic Groups and Their Applications. 
520 |a 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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