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Title:
Security analysis of the Milenage-construction based on a PRF
Authors: Alexander Maximov, Mats Näslund
Abstract:This paper analyses the security of the so-called Milenage construction, developed by ETSI SAGE, when it is based on a non-one-to-one pseudo-random function (PRF) rather than a one-to-one pseudo-random permutation (PRP). It is shown that Milenage based on an n-bit random function and producing t n-bit outputs, is indistinguishable from a random tn-bit function up to q = O(2^{n/2}/ t) queries. We also extend the existing security proof for PRP-based Milenage due to Gilbert by incorporating also the Milenage message authentication function in the proof.
ePrint: https://eprint.iacr.org/2023/607
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