New key management scheme lattice-based for wireless sensor networks

The cluster structure can effectively reduce the cost of mutual authentication of sensor nodes, which is conducive to the expansion of the network, and can guarantee the security of authentication between sensor nodes even in the post-quantum era. The size of the lattice-based authentication proposed in this paper does not change much with the continuous improvement of the security level of the RSA algorithm. The size of the certificate is kept at a stable level, which is more suitable for encrypting large data at a high-security level.

Methods
The authentication sizes corresponding to different security levels (such as 64bits, 128bits, 192bits, 256bits, 320bits, 384bits,448bits, and 512bits) can be calculated when the selected system parameter is n=256bits, q=2**32.