Abstract: At ACSAC 2019, we introduced a new cryptographic primitive called proof of aliveness (PoA), allowing us to remotely and automatically track the running status (aliveness) of devices in the fields in cyber-physical systems. We proposed to use a one-way function (OWF) chain structure to build an efficient proof of aliveness, such that the prover sends every node on the OWF chain in a reverse order periodically. However, the finite nodes in OWF chains limited its practicality. We enhance our first PoA construction by linking multiple OWF chains together using a pseudo-random generator chain in our second PoA scheme. This enhancement allows us to integrate one-time signature (OTS) schemes into the structure of the second construction to realize the auto-replenishment of the aliveness proofs for continuous use without interruption for reinitialization. In this work, our primary motivation is to further improve our secondary PoA and auto-replenishment schemes. Instead of storing the tail nodes of multiple OWF chains on the verifier side, we use a Bloom Filter to compress them, reducing the storage cost by $ 4.7$ times. Moreover, the OTS-based auto-replenishment solution cannot be applied to our first scheme, and it is not so efficient despite its standard model security. To overcome these limitations, we design a new auto-replenishment scheme from a hash-based commitment under the random oracle model in this work, which is much faster and can be used by both PoA schemes. Considering the implementation on a storage/memory-constrained device, we particularly study the strategies for efficiently generating proofs.
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