With the digitalization of various industries, thecombination of cloud computing and the Industrial Internet ofThings (IIoT) has become an attractive data processing paradigm.However, cloud-assisted IIoT still has challenging issues includingauthenticity of data, untrustworthiness of third parties, andsystem robustness and eciency. Recently Karati et al. proposed a lightweight certificateless signature (CLS) scheme forcloud-assisted IIoT, that was claimed to address both authenticityof data and untrustworthiness of third parties. In this paper, wedemonstrate that the CLS scheme fails to achieve the claimedsecurity properties by presenting four types of signature forgeryattacks. We also propose a robust certificateless signature (RCLS)scheme to address the aforementioned challenges. Our RCLS onlyneeds public channels and is proven secure against both publickey replacement attacks and malicious-but-passive third partiesin the standard model. Performance evaluation indicates thatRCLS outperforms other CLS schemes and is suitable for IIoT.
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