于RsA密码体制，提出了一个新的(f，，1)门限秘密共享方案。在该方案中，秘密份额由各参与者自己

选择，秘密分发者不知道每个参与者所持有的份额，而且秘密份额长度与秘密长度相同。在秘密恢复过程中，每

个参与者能够验证其他参与者是否进行了欺骗。每个参与者只需维护一个秘密份额，就可以实现对多个秘密的共

享。方案的安全性是基于RSA密码体制和Shamir的(‘n)门限秘密共享方案的安全性。-Abstract：A new(f，n)thresh01d secret sharing scheme was proposed，which was based on RSA cryptosystem．1n出is

scheme，each participallt’s secret shadow was selected by the panicipallt himself aIld even the secret dealer did not k110w

aIlything about his secret shadow．A1l these shadows were as short as me secret to be shared．In me recoVery phase，each

participaIlt was allowed to check whether another panicipaIlt pmvided me nlle infoⅡIlation or not．Each participaIlt call

share many secrets with omer panicipants by holding only one shadow．The security of this scheme is the as mat of

tlle RSA cryptosystem and Shamir’s(f，n)threshold secret sharing scheme．