The Indistinguishability of the XOR of k Permutations

Abstract : Given k independent pseudorandom permutations f(1), ... , f(k) over {0, 1}(n), it is natural to define a pseudorandom function by XORing the permutations f(1) circle plus... circle plus f(k). In [9] Stefan Lucks studied the security of this PRF. In this paper we improve the security bounds of [9] by using different proof techniques.
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Benoit Cogliati, Rodolphe Lampe, Jacques Patarin. The Indistinguishability of the XOR of k Permutations. 21st International Workshop on Fast Software Encryption (FSE), Mar 2014, Londons Nat Hist Museum, London, ENGLAND, United Kingdom. ⟨10.1007/978-3-662-46706-0_15⟩. ⟨hal-02176874⟩

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