The metaverse is regarded as a new wave of technological transformation that provides a virtual space for people to interact through digital avatars. To achieve immersive user experiences in the metaverse, real-time rendering is the key technology. However, computing intensive tasks of real-time rendering from metaverse service providers cannot be processed efficiently on a single resource-limited mobile device. Alternatively, such mobile devices can offload the metaverse rendering tasks to other mobile devices by adopting the collaborative computing paradigm based on Coded Distributed Computing (CDC). Therefore, this paper introduces a hierarchical game-theoretic CDC framework for the metaverse services, especially for vehicular metaverse. In the framework, idle resources from vehicles, acting as CDC workers, are aggregated to handle intensive computation tasks in the vehicular metaverse. Specifically, in the upper layer, a miner coalition formation game is formulated based on a reputation metric to select reliable workers. To guarantee the reliable management of reputation values, the reputation values calculated based on the subjective logical model are maintained in a blockchain database. In the lower layer, a Stackelberg game based incentive mechanism is considered to attract reliable workers selected in the upper layer to participate in render-

Multiple-operators (multi-OPs) spectrum sharing mechanism can effectively improve the spectrum utilization in fifth-generation (5G) wireless communication networks. The secondary users are introduced to opportunistically access the licensed spectrum of idle operators (OPs). However, the identity privacy and data security issues raise great concerns about the secure spectrum sharing among multi-OPs. To address these challenges, a permissioned blockchain trust framework is proposed for the spectrum sharing in multi-OPs wireless communication networks in this paper. The Multi-OPs Spectrum Sharing (MOSS) smart contract is designed on the constructed permissioned blockchain to implement the spectrum trading among multi-OPs. Without the need of trustless spectrum broker, the MOSS smart contract enforces multi-OPs to share the spectrum truthfully and designs a punishment mechanism to punish malicious OPs. The MOSS smart contract is tested on the Remix integrated development environment (IDE) and the gas costs of MOSS smart contract is estimated. The performance analysis of the proposed permissioned blockchain trust framework demonstrates that the privacy, openness and fairness of the proposed solution are better than traditional spectrum allocation solutions.

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The evolution of Industrial Internet of things (IIoT) boosts the amount of IIoT data. Machine learning promotes the progress of data analytics services. In order to facilitate the flow and explore the economic value of IIoT data, it is crucial to consider data packet transactions (DPTs) and data analytics service transactions (DASTs) simultaneously. Centralized data trading platforms emerge to realize transactions of data commodities. However, centralized platforms lack trust and robustness. How to realize DPTs and DASTs in a decentralized way is a challenging issue. In this paper, a new transaction solution based on the smart contract-enabled blockchain technology is proposed, which consists of the DPT smart contract and DAST smart contract. The DPT smart contract is implemented to trade data packets. The DAST smart contract provides a competitive way to trade data analytics services. Both smart contracts are designed to enable entities in IIoT to execute DPTs and DASTs automatically and honestly. Moreover, the transaction disputes between different IIoT entities are solved by the big data center off-chain, and the treatment results will be recorded on the blockchain by the big data center. The DPT smart contract and DAST smart contract are implemented and tested on Remix integrated development environment to achieve DPTs and DASTs. The gas costs of smart contracts are estimated and the security of the proposed solution is analyzed. The performance analysis demonstrates that the proposed solution is secure and feasible.INDEX TERMS Industrial Internet of Things, data packet transaction, data analytics service transaction, smart contract, blockchain.