Black-box models of computation in cryptology
著者
書誌事項
Black-box models of computation in cryptology
（Research）
Springer Spektrum , Vieweg + Teubner, c2012
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注記
"Dissertation Ruhr-Universität Bochum, 2011" -- T.p. verso
Includes bibliographical references (p. [77]-86)
内容説明・目次
内容説明
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?
目次
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.
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