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Black-Box Models of Computation in Cryptology / by Tibor Jager

Edition 1st ed. 2012.
Publisher (Wiesbaden : Vieweg+Teubner Verlag : Imprint: Vieweg+Teubner Verlag)
Year 2012
Language English
Size XII, 86 p : online resource
Authors *Jager, Tibor author
SpringerLink (Online service)
Subjects LCSH:Mathematics -- Data processing  All Subject Search
FREE:Computational Mathematics and Numerical Analysis
Notes 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
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?
HTTP:URL=https://doi.org/10.1007/978-3-8348-1990-1
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Springer eBooks 9783834819901
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EB00236506

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Material Type E-Book
Classification LCC:QA71-90
DC23:518
ID 4000117027
ISBN 9783834819901

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