Abstract—The Industrial Internet of Things (IIoT), through

the extensive deployment of devices for sensing, transmitting,

and analyzing production states, can provide users with more

comprehensive services and enhance production and manufacturing efficiency. However, most IIoT devices are limited by

software and hardware resources, and existing mature security

mechanisms are no longer suitable due to high computing and

communication costs. This weakness makes these devices highly

susceptible to illegal attacks, such as counterfeiting, leading to

a decline in service quality of IIoT. Therefore, to ensure the

secure and efficient verification of the legitimacy of numerous

IIoT devices, scholars have employed numerous viable solutions.

However, many existing solutions have difficulty achieving a

balance between the limited resources and security requirements

of IIoT, resulting in certain shortcomings. To address this, we first

propose a lightweight certificateless signature scheme without

pairing, which can achieve unforgeability and reduce computation pressure by batch verification for multiple signatures.

Furthermore, we propose a lightweight certificateless mutual

authentication scheme (LCLMA-BS) for the IIoT. LCLMA-BS

is capable of conducting key agreement for both authentication parties and batch authentication for multiple participants.

Moreover, through analysis and proof, LCLMA-BS is shown

to have various security properties, such as perfect forward

and backward security and known session-specific temporary

information security. Finally, the simulation results indicate that

our signature and LCLMA-BS exhibit higher computational

efficiency and communication efficiency, demonstrating better

suitability for the IIoT