关键词: 超椭圆曲线, 简约除子, Jacobian群, 代理签名, 盲签名

Abstract: Analyzing the algebra basis about hyperelliptic curve and its Jacobian discrete logarithm problem, a new proxy blind signature scheme of multivriate linear transformation based on hyperelliptic curve was proposed. The scheme owned the characteristics of both proxy signature and blind signature, and its correctness, safety and efficiency were analyzed. The scheme can be widely used in digital signature fields about the e-voting, e-commerce and so on.

Key words: hyperelliptic curve, semi-reduced divisor, Jacobian group, proxy signature, blind signature