Broadcast Cryptosystem, Crypto-Communication Method, Decryption Device, and Decryption Program
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United States of America Patent
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Issued Date -
Dec 4, 2008
app pub date -
Jul 26, 2007
filing date -
Jun 4, 2007
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Abandoned
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Abstract
A client's secret key is Ki=(s+Ii).sup.-1P where Ii is obtained by using a collision-resistant hash function h to process client IDs with respect to the secret numbers s and r and the parameters P and Q of a secret on an elliptic curve E. The session key Ks that encrypts the message m is Ks=enc(P,Q).sup.rk and the header is constituted by H1=k .PI..sub.i=1-N(s+Ii)R=k.SIGMA..sub.i=0-Ncis.sup.iR, H2=k(rP), S={I1,I2, . . . , IN}. The client restores the session key by means of A/B=en(P,Q).sup.rk.PI.j=1-N,j.noteq.iIj, (A/B).sup..PI.j=1-N,j.noteq.iIj-1=Ks from A=en(Ki,H1)=en((s+Ii).sup.-1P,k.PI..sub.i=1-N(s+Ii)R) and B=en(H2,.PI..sub.j=1-N,j.noteq.i(s+Ij)Q-.PI..sub.j=1-N,j.noteq.iIjQ)=en(P-,Q).sup.rk.PI.j=1-N,j.noteq.i Ij.
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