Certificateless Proxy Authentication Scheme on Lattices Under the Background of Big Data

As a special digital signature, proxy signature is becoming more and more important in electronic authentication. Compared with the insecurity of proxy signatures based on the decomposition of large integers and the difficulty of discrete logarithms, lattice-based cryptography have higher security and computational efficiency. This paper uses the pre-image sampling algorithm and trapdoor generation algorithm to construct a certificateless proxy signature scheme on lattices, and puts the scheme into the background of big data to realize authentication. The safety of the problem is proved by using the difficulty of small integer solutions on the lattices. Compared with other existing proxy signature schemes, it has low computational complexity and higher security.