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http://dx.doi.org/10.13089/JKIISC.2007.17.5.3

Pseudorandom Permutation and Function Families Secure against Related-Key Attacks  

Kim, Jong-Sung (Korea University)
Sung, Jae-Chul (University of Seoul)
Eun, Hi-Chun (Korea University)
Publication Information
Journal of the Korea Institute of Information Security & Cryptology / v.17, no.5, 2007 , pp. 3-14 More about this Journal
Abstract
In this paper, we observe that secure tweakable permutation families in the sense of strong pseudorandom permutation (SPRP) can be transformed to secure permutation families in the sense of SPRP against related-key attacks (SPRP-RKA). This fact allows us to construct a secure SPRP-RKA which is the most efficient to date. We also observe that secure function families of a certain form in the sense of a pseudorandom function (PRF) can be transformed to secure permutation families in the sense of PRP-RKA. We can exploit it to get various secure constructions against related-key attacks from known MAC algorithms. Furthermore, we define other security notions for related-key attacks, namely indistinguishability and non-malleability, and look into the relations between the security notions fur related-key attacks. We show that secure tweakable permutation families in the sense of indistinguishability (resp. non-malleability) can be transformed to secure permutation families in the sense of indistinguishability (resp. non-malleability) against related-key attacks.
Keywords
Related-key attacks; Pseudorandom permutation families; Peudorandom function families;
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