对一类门限密码体制的研究注记

Research into a Kind of Threshold Cryptosystem

本文在研究扩展到有限Abel群上的Shamir(k,n)-门限秘密分享体制的基础上,构造出一类新的EIGamal类型的门限密码体制及具有信息恢复特性的数字签名体制;指出这类体制的一些良好特性及其在诸如密钥托管、密钥分配体制等方面的应用,并证明了其安全性。

In this paper, we construct a kind of (k , n ) - threshold EIGamal cryptosystem and signature scheme with message recovery using extended Shamir's secret sharing scheme over finite Abelian group. We also show their some useful properties and applications in Key Escrow and Key management, etc. The cryptosystem is secure.