摘要
由于ＲＳＡ的秘密钥ｄ∈Ｚφ（ｎ），以前的门限ＲＳＡ密码体制的秘密共享方案都是以环Ｚφ（ｎ）为背景结构建立的，但这会遇到固有困难：Ｚφ（ｎ）不是域且φ（ｎ）必须保密．本文提出一种新的门限ＲＳＡ密码体制，用一般大素域代替环Ｚφ（ｎ）作为门限方案的背景结构，从而完全避开了上述困难．
Since the secret key of a RSA cryptosystem d∈Z φ(n) ,the secret sharing schemes of the previous threshold RSA cryptosystems were set up over the ring Z φ(n) .But It has natural difficulties: Z φ(n) is not a field and the φ(n) must be kept secret.The existing methods to surmount these difficulties need place rigorous restrictions on the structures of the RSA modulus n and can cause continuous multiplications of large integers,or need an algebraic extension of the ring Z λ(n) .We present a new threshold RSA scheme which instead of the ring Z φ(n) ,we use a general large prime field Z r as the background structure to set up the (t,l) threshold scheme.And then,the above difficulties are overcome and the scheme presented is more practical and efficient in this paper.
出处
《山东大学学报（自然科学版）》
CSCD
1999年第2期149-155,共7页
Journal of Shandong University(Natural Science Edition)
