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Black-Box Models of Computation in Cryptology

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  • © 2012

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  • Black-Box Models of Computation

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Table of contents (6 chapters)

Keywords

About this book

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?

Authors and Affiliations

  • Velbert, Germany

    Tibor Jager

About the author

Dr. Tibor Jager completed his doctoral thesis at the Horst Görtz Institute for IT Security at Ruhr-Universität Bochum under the supervision of Prof. Dr. Jörg Schwenk. He is now a postdoctoral researcher at the Karlsruhe Institute of Technology.

Bibliographic Information

  • Book Title: Black-Box Models of Computation in Cryptology

  • Authors: Tibor Jager

  • DOI: https://doi.org/10.1007/978-3-8348-1990-1

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Spektrum | Springer Fachmedien Wiesbaden 2012

  • Softcover ISBN: 978-3-8348-1989-5Published: 22 March 2012

  • eBook ISBN: 978-3-8348-1990-1Published: 23 March 2012

  • Edition Number: 1

  • Number of Pages: XII, 86

  • Topics: Computational Mathematics and Numerical Analysis

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