Abstract
Key-dependent message KDM security should be considered in the design of security protocols, especially for complicated ones, where the messages related to the secret key might be encrypted. In this paper, we present a new method of constructing a KDM secure asymmetric encryption scheme with the notation of hybrid encryption in the standard model; although the notation of hybrid encryption was thought as no help to get rid of dependencies between messages and the secret key. Our result can also be seen as a partial instantiation for a previously well-known KDM secure asymmetric encryption scheme based on random oracle. As we know, this has never been carried out before. And our result indicates a new cryptographic application for the primitive of lossy trapdoor function. Throughout the paper, our main idea is to archive KDM security by making use of both leakage-resilience and auxiliary-input security properties. Copyright © 2014 John Wiley & Sons, Ltd.
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