Plaintext imbedded into the divisors of a hyperelliptic curve is a key work in HECC.

Divisor scalar multiplication is the key operation in hyperelliptic curve cryptosystem.

The hyperelliptic curve cryptosystem is based on the hyperelliptic curve discrete logarithm problem, and has the higher safety and the shorter operands compared to other cryptosystems.

An undeniable signature scheme based on Jacobian groups of hyperelliptic curves;

Scalar multiplication of hyperelliptic curves with the efficient algorithm for inversion;

The explicit formula is presented for computing the reduced sum of two divisors of genus 3 hyperelliptic curves in term of Cantor\' algorithm.

Improved key management scheme based on hyper-elliptic curves cryptosystem;

Analysis are made on the proxy authorization schemes and proxy signature schemes in electronic business,as to the security threats of present proxy signature schemes,this paper presents a hybrid proxy signature scheme based on hyper-elliptic curves cryptosystem that can gain a wide application in computer and wireless communication network.

Based on hyper-elliptic curves cryptosystem,it presents a hybrid multi-signature scheme that can gain a wide application in computer and wireless communication network.