Cryptographic method
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United States of America Patent
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May 6, 1997
Grant Date -
N/A
app pub date -
Jul 24, 1995
filing date -
Dec 22, 1992
priority date (Note) -
Expired
status (Latency Note)
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Abstract
A 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 kN.sub.i +1 times modulo n beginning with the any one of the data values, where k is an integer, N.sub.i is the order of the ith pair of groups and n=p.q, selecting a public encryption key e which is a factor of kN.sub.i +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 N.sub.i 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 d.sub.i can be determined using e.d.sub.i =kN.sub.i +1.
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