Attribute-Based Authentication Scheme from Partial Encryption for Lattice with Short Key

Wireless network is the basis of the Internet of things and the intelligent vehicle Internet. Due to the complexity of the Internet of things and intelligent vehicle Internet environment, the nodes of the Internet of things and the intelligent vehicle Internet are more vulnerable to malicious destruction and attacks. Most of the proposed authentication and key agreement protocols for wireless networks are based on traditional cryptosystems such as large integer decomposition and elliptic curves. With the rapid development of quantum computing, these authentication protocols based on traditional cryptography will be more and more threatened, so it is necessary to design some authentication and key agreement protocols that can resist quantum attacks. In this paper, an anti-quantum authentication scheme for wireless networks based on lattice cryptosystem is constructed. In the attribute-based authentication scheme, the length of the authenticated public-private key pair depends on the maximum order and complexity of the formula in the algorithm. In the attribute-based authentication scheme, there is a certain correlation between the authenticated data and the attribute value of the user in the scheme. We show that the attribute-based authentication scheme gives an attribute-based with smaller public-private key pairs. The security of the attribute-based authentication scheme is based on the sub-exponential hard problem of the LWE (Learning With Errors). The Q-poly made by the adversary in the scheme, and our attribute-based authentication scheme guarantees that private data about user attributes and ciphertext cannot be obtained by malicious attackers.