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Home > Art, Film & Photography > Computational Hardness Assumptions: Integer Factorization, Unique Games Conjecture, Diffie-Hellman Problem, Discrete Logarithm
Computational Hardness Assumptions: Integer Factorization, Unique Games Conjecture, Diffie-Hellman Problem, Discrete Logarithm

Computational Hardness Assumptions: Integer Factorization, Unique Games Conjecture, Diffie-Hellman Problem, Discrete Logarithm


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About the Book

Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Integer Factorization, Unique Games Conjecture, Diffie-hellman Problem, Discrete Logarithm, Decisional Diffie-hellman Assumption, Rsa Problem, Xdh Assumption, Higher Residuosity Problem, Computational Diffie-hellman Assumption, Quadratic Residuosity Problem, Phi-Hiding Assumption, Strong Rsa Assumption, Decision Linear Assumption, Decisional Composite Residuosity Assumption, Sub-Group Hiding. Excerpt: The computational Diffie Hellman (CDH assumption) is the assumption that a certain computational problem within a cyclic group is hard. Consider a cyclic group G of order q . The CDH assumption states that, given for a randomly-chosen generator g and random it is computationally intractable to compute the value The security of many cryptosystems is based on the CDH assumption, including notably the Diffie Hellman key agreement scheme. Also, the confidentiality of ElGamal encryption is equivalent to the CDH assumption (though the semantic security of the scheme is based on the decisional Diffie Hellman assumption ). The CDH assumption is related to the discrete logarithm assumption, which holds that computing the discrete logarithm of a value base a generator g is hard. If taking discrete logs in were easy, then the CDH assumption would be false: given one could efficiently compute g a b in the following way: It is an open problem to determine whether the discrete log assumption is equivalent to CDH, though in certain special cases this can be shown to be the case. The CDH assumption is also related to the decisional Diffie Hellman assumption (DDH), which holds that it is hard to distinguish tuples of the form ( g, g a, g b, g a b ) from random tuples. If computing g a b from ( g, g a, g b ) were easy, then one could detect DDH tuples trivially. It is believed that CDH is a w...


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Product Details
  • ISBN-13: 9781155523385
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • Sub Title: Integer Factorization, Unique Games Conjecture, Diffie-Hellman Problem, Discrete Logarithm
  • Width: 229 mm
  • ISBN-10: 1155523385
  • Publisher Date: 04 May 2010
  • Binding: Paperback
  • Spine Width: 3 mm
  • Weight: 91 gr


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