## 3 System Design
### Algorithm
#### 3.3.1 Relay Node Selection
We also compared the resource utilization efficiency of two technical solutions, and the experimental results are shown in \[pathstatus(node_{i})=(\alpha\times Bandwidth_{i}+\beta/RTT_{i})\times sigmoid (p_{i}-p_{0}) \tag{1}\]5 From Figure 11, it can be seen that compared with NKN, the method proposed in this paper has higher idle bandwidth utilization on both network topologies. This is because the selection of nodes in NKN is based on chord distance and does not perceive the network state information of nodes. This article combines different network parameters to select the optimal relay node, which can more effectively utilize idle bandwidth resources. \[pathstatus(node_{i})=(\alpha\times Bandwidth_{i}+\beta/RTT_{i})\times sigmoid (p_{i}-p_{0}) \tag{1}\]6 Comparison of average bandwidth utilization testing. \[pathstatus(node_{i})=(\alpha\times Bandwidth_{i}+\beta/RTT_{i})\times sigmoid (p_{i}-p_{0}) \tag{1}\]7 Comparison of average delay testing. ## 5 Conclusions

In this paper, we propose a method to leverage users' idle bandwidth in an IP compatible ICN architecture, combined with blockchain technology to design an incentive mechanism that encourages users to contribute bandwidth. Firstly, we introduce the architecture of ICN as described in this paper and provide a detailed description of how to utilize users' idle bandwidth based on the inherent advantages of ICN technology. Then, we focus on discussing the optimization method for utilizing idle bandwidth, which involves introducing link state to represent the availability of user nodes and greedily selecting the user node with the optimal network state as the next hop for transmission. Additionally, we design a consensus algorithm based on network contribution proof to select blockchain ledger nodes based on the number of forwarded messages by nodes, and we further design an incentive model based on this consensus algorithm. Finally, we conducted simulation experiments to evaluate the effectiveness of the proposed method. The experimental results showed that by utilizing idle bandwidth on the end side, the maximum throughput of ICN network transmission was improved by 19.4%, and the packet loss rate under high transmission data rates was significantly reduced. At the same time, using ICN technology to aggregate idle bandwidth has more advantages in end-to-end latency compared to existing methods, and also brings a maximum utilization improvement of 13.7%. In our approach, node selection and traffic scheduling are based on distributed ICN network nodes, while NMRS is also a distributed autonomous system. Blockchain is a typical decentralized distributed ledger technology, so our solution is entirely based on a distributed architecture when working. In future research, we will focus on the study of network contribution measurement methods. We define the number of forwarded messages by users as network contribution and need to consider measurement security. Adopting a single-point measurement may lead to cheating possibilities and an inability to generate forwarding proof, while existing distributed measurement methods such as proof of relay rely on building a chain of signatures, which incurs significant computational overhead. We consider leveraging the inherent advantages of ICN to design a more efficient proof algorithm. Conceptualization, Q.L., R.H. and Y.L. ; methodology, Q.L., R.H. and Y.L. ; software, Q.L. ; writing--original draft preparation, Q.L. ; writing--review and editing, R.H. and Y.L. ; supervision, R.H.; project administration, Y.L. ; funding acquisition, R.H. All authors have read and agreed to the published version of the manuscript. This work was funded by Goal-Oriented Project Independently Deployed by Institute of Acoustics, Chinese Academy of Sciences: Distributed Supercomputing Based on SEANET Network (project no. MBDX202114). Data Availability Statement: Data are contained within the article. We would like to express our gratitude to [PERSON], [PERSON], and [PERSON] for their meaningful support of this work.