A New Construction of the One-way Ring Homomorphismand Two Digital Multisignature Schemes
Hou Wei-hua · Shuxue de shijian yu renshi · 2002
A new construction of the one-way ring homomorphism is proposed. It makes Z n×U and Z n×Imf commutative rings by directly defining the two operations of Z n×U and Z n×Imf, not using U and Imf are Z n-modules. Where U,V are finite abelian groups and U→V is a group homomorphism. This construction can in form avoid the confusion of some operations. A digital multisignature scheme based on the one-way ring homomorphism of elliptic curves is also presented. Moreover, this paper modifies the digital multisignature scheme proposed by Kazuo Ohta and Tatsuaki Okamoto. It makes the performance of the multisignature done by only one cycle instead of two cycles.