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Title:
Note on the RKA security of Continuously Non-Malleable Key-Derivation Function from PKC 2015
Authors: Eiichiro Fujisaki, Keita Xagawa
Abstract:Qin, Liu, Yuen, Deng, and Chen (PKC 2015) gave a new security notion of key-derivation function (KDF), continuous non-malleability with respect to \Phi-related-key attacks (\Phi-CNM), and its application to RKA-secure public-key cryptographic primitives. They constructed a KDF from cryptographic primitives and showed that the obtained KDF is \Phi_{hoe\&iocr}-CNM, where \Phi_{hoe\&iocr} contains the identity function, the constant functions, and functions that have high output-entropy (HOE) and input-output collision-resistance (IOCR) simultaneously. This short note disproves the security of their KDF by giving \Phi_{hoe\&iocr}-RKAs by exploiting the components of their KDF. We note that their proof is still correct for \Phi-CNM for a subset of \Phi_{hoe\&iocr}; for example the KDF satisfies \Phi_{poly(d)}-CNM, in which an adversary can tamper with a secret by using polynomials of degree at most d.
ePrint: https://eprint.iacr.org/2015/1088
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