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Security of Symmetric Primitives against Key-Correlated Attacks
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We study the security of symmetric primitives against key-correlated attacks (KCA), whereby an adversary can arbitrarily correlate keys, messages, and ciphertexts. Security against KCA is required whenever a primitive should securely encrypt key-dependent data, even when it is used under related keys. KCA is a strengthening of the previously considered notions of related-key attack (RKA) and key-dependent message (KDM) security. This strengthening is strict, as we show that 2-round Even–Mansour fails to be KCA secure even though it is both RKA and KDM secure. We provide feasibility results in the ideal-cipher model for KCAs and show that 3-round Even–Mansour is KCA secure under key offsets in the random-permutation model. We also give a natural transformation that converts any authenticated encryption scheme to a KCA-secure one in the random-oracle model. Conceptually, our results allow for a unified treatment of RKA and KDM security in idealized models of computation.
Universitatsbibliothek der Ruhr-Universitat Bochum
Title: Security of Symmetric Primitives against Key-Correlated Attacks
Description:
We study the security of symmetric primitives against key-correlated attacks (KCA), whereby an adversary can arbitrarily correlate keys, messages, and ciphertexts.
Security against KCA is required whenever a primitive should securely encrypt key-dependent data, even when it is used under related keys.
KCA is a strengthening of the previously considered notions of related-key attack (RKA) and key-dependent message (KDM) security.
This strengthening is strict, as we show that 2-round Even–Mansour fails to be KCA secure even though it is both RKA and KDM secure.
We provide feasibility results in the ideal-cipher model for KCAs and show that 3-round Even–Mansour is KCA secure under key offsets in the random-permutation model.
We also give a natural transformation that converts any authenticated encryption scheme to a KCA-secure one in the random-oracle model.
Conceptually, our results allow for a unified treatment of RKA and KDM security in idealized models of computation.
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