| 摘要 |
PCT No. PCT/AU93/00665 Sec. 371 Date Jul. 24, 1995 Sec. 102(e) Date Jul. 24, 1995 PCT Filed Dec. 20, 1993 PCT Pub. No. WO94/15423 PCT Pub. Date Jul. 7, 1994A cryptographic method including selecting secret keys p and q, being prime numbers greater than 3, selecting public parameters for a series of data values which belong to one of a plurality of pairs of groups whereby any one of the data values in one of the pairs of groups is recovered by performing an operation kNi+1 times modulo n beginning with the any one of the data values, where k is an integer, Ni is the order of the ith pair of groups and n=p.q, selecting a public encryption key e which is a factor of kNi+1 for all i, and processing communications data as a member of one of the pairs of groups by performing the operation on the communications data, whereby the order Ni of the pair of groups i that the communications data belongs to can be determined on the basis of p and q, and a secret decryption key di can be determined using e.di=kNi +1.
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