Presentation 2004/5/12
A Note on Defining Pseudorandom Function Ensembles
Shoichi HIROSE, Donghoon CHANG, Wonil LEE,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In 1986, Goldreich, Goldwasser and Micali introduced a pseudorandom function ensemble and presented how to construct it. They introduced indistinguishability to define pseudorandomness. In the same paper, they also defined non-inferability and showed that it is equivalent to indistinguishability. In this article, two variants of non-inferability is introduced and their relationships to non-inferability are discussed. One of the two variants was introduced in 2002 by one of the authors to define the security of a block cipher. It is shown to be equivalent to non-inferability for any permutation ensemble. Thus, it is suitable for the definition of the security of a block cipher. However, it is also shown that it is not equivalent to non-inferability for function ensembles in general. Furthermore, for permutation ensembles, strong non-inferability and its variants are introduced following the definition of strong pseudorandomness by Luby and Rackoff. Then, it is shown that the strong indistinguishability and the three kinds of strong non-inferability are equivalent to each other.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) pseudorandom function ensemble / pseudorandom permutation ensemble / pseudorandomness / indistinguishability / non-inferability
Paper # ISEC2004-1
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Conference Information
Committee ISEC
Conference Date 2004/5/12(1days)
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Registration To Information Security (ISEC)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Note on Defining Pseudorandom Function Ensembles
Sub Title (in English)
Keyword(1) pseudorandom function ensemble
Keyword(2) pseudorandom permutation ensemble
Keyword(3) pseudorandomness
Keyword(4) indistinguishability
Keyword(5) non-inferability
1st Author's Name Shoichi HIROSE
1st Author's Affiliation Graduate School of Informatics, Kyoto University()
2nd Author's Name Donghoon CHANG
2nd Author's Affiliation Center for Information and Security Technologies, Korea University
3rd Author's Name Wonil LEE
3rd Author's Affiliation Center for Information and Security Technologies, Korea University
Date 2004/5/12
Paper # ISEC2004-1
Volume (vol) vol.104
Number (no) 53
Page pp.pp.-
#Pages 6
Date of Issue