摘要
In this letter, we present a kind of new trap-door one-way function over algebraic integers. We shall first prove the following theorems. Theorem 1. Suppose that Q(i) is a complex number field,D={a+bi: a, b∈Z} where Z denotes the domain of rational integers. Let m=q1n1…qknk, qj(?)3 (mod 4) (j=1, …, k), where q1,…,qk are distinct primes. Let s>0,
基金
Project supported by the Science Fund of Academia Sinica