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Is it possible to derive a dsa key-pair based on two private keys from different/independent "Certificate Authorities" (ca1 and ca2) to sign s.th. which then verifies only that the signature is a child of ca1 and ca2 but not which of the keys, that have been originally issued by the ca's has been used? Thus anonymized signature?

ca1 = certificate authority 1
ca2 = certificate authority 2
cert1 = public certificate of ca1
cert2 = public certificate of c2
privkey1 = private key issued by ca1
privkey2 = private key issued by ca2
privkey = getprivkey(privkey1, privkey2) = private key derived from ca1 & ca2
datasig = signature of data package - signed with privkey
dsaproof = digital signature algorithm proof function

Is the following possible?

True = dsaproof(datasig, cert1)
True = dsaproof(datasig, cert2)
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  • $\begingroup$ So would you write down equations you'd like to verify? $\endgroup$ Jul 4, 2018 at 11:37
  • $\begingroup$ not private keys are associated with CAs but public keys. $\endgroup$
    – user27950
    Jul 5, 2018 at 5:01
  • $\begingroup$ @VadymFedyukovych I dont have an equation but instead wanted to find out, if there is the possibility to do so. $\endgroup$
    – Techradar
    Jul 5, 2018 at 11:49
  • $\begingroup$ @Cryptostase True, but in order to create a new key-pair which is related to two other key-pairs I need to use private keys, otherwise anyone could generate children based on public keys. And further, the signature of the new key-pair should then prove that the key-pair is inherited from ca1 and ca2. Does that make sense? $\endgroup$
    – Techradar
    Jul 5, 2018 at 11:50
  • $\begingroup$ I don’t understand why the CA should be anonymized in the first place. $\endgroup$
    – user27950
    Jul 5, 2018 at 12:23

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