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An extended appears in Advances in Cryptology - Eurocrypt 98 Proceedings, Lecture Notes in Computer Science Vol. 1403, K. Nyberg ed., Springer-Verlag, 1998. This is the full version.  (Make Corrections)  
Luby-Rackoff Backwards Increasing An extended abstract appears in Advances in Cryptology - Eurocrypt 98...



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Abstract: We argue that the invertibility of a block cipher can reduce the security of schemes that use it, and a better starting point for scheme design is the non-invertible analog of a block cipher, that is, a pseudorandom function (PRF). Since a block cipher may be viewed as a pseudorandom permutation, we are led to investigate the reverse of the problem studied by Luby and Rackoff, and ask: "how can one transform a PRP into a PRF in as security-preserving a way as possible?" The solution we... (Update)

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@misc{ increasing-extended,
  author = "Luby-Rackoff Backwards Increasing",
  title = "An extended appears in Advances in Cryptology -- Eurocrypt 98 Proceedings,
    Lecture Notes in Computer Science Vol. 1403, K. Nyberg ed., Springer-Verlag,
    1998. This is the full version.",
  url = "citeseer.ist.psu.edu/766138.html" }
Citations (may not include all citations):
419   How to construct random functions (context) - Goldreich, Goldwasser et al. - 1986
278   Probabilistic encryption (context) - Goldwasser, Micali - 1984
241   Communication theory of secrecy systems (context) - Shannon - 1949
191   New hash functions and their use in authentication and set e.. (context) - Wegman, Carter - 1981
173   How to construct pseudorandom permutations from pseudorandom.. (context) - Luby, Rackoff - 1988
159   A concrete security treatment of symmetric encryption (context) - Bellare, Desai et al. - 1997
95   The security of cipher block chaining - Bellare, Kilian et al. - 1994
86   How to protect DES against exhaustive key search - Kilian, Rogaway - 1996
84   XOR MACs: New methods for message authentication using a fin.. (context) - Bellare, Gu'erin et al. - 1995
80   The first experimental cryptanalysis of the Data Encryption .. (context) - Matsui - 1994
77   the construction of pseudo-random permutations: LubyRackoff .. - Naor, Reingold - 1997
39   Pseudorandom functions revisited: The cascade construction a.. - Bellare, Canetti et al. - 1996
30   A construction of a cipher from a single pseudorandom permut.. - Even, Mansour - 1991
27   A simplified and generalized treatment of Luby-Rackoff pseud.. - Maurer - 1992
25   On fast and provably secure message authentication based on .. - Shoup - 1996

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