Constructing hash function from plaintext to Huff curves

A deterministic function with its time complexity being O(log3q) was constructed for the first time from a finite field Fq to Huff curves. Based on this function, construct a hash function from plaintext into Huff curves. The Hash function laid the foundation for identity-based protocols on elliptic curves and its experimental time cost on the elliptic curve of the Chinese elliptic curve standard SM2 is 5578 μs.