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Re: [tor-bugs] #8106 [Tor]: Make .onion addresses harder to harvest by directory servers

#8106: Make .onion addresses harder to harvest by directory servers
-----------------------------+----------------------------------------------
 Reporter:  asn              |          Owner:                    
     Type:  defect           |         Status:  new               
 Priority:  major            |      Milestone:  Tor: 0.2.5.x-final
Component:  Tor              |        Version:                    
 Keywords:  SponsorZ tor-hs  |         Parent:                    
   Points:                   |   Actualpoints:                    
-----------------------------+----------------------------------------------

Comment(by hyperelliptic):

 To be fully explicit, here is the attack using your notation; l is the
 group order.
   Aprime = scalarmult(blindingExponent, pub.A);
 this is computed the proper way so that it will store to the desired HS
 address.

   fakea = hashToExponent(generateRandomBytes(64));
   inva = 1/fakea mod l;
   Bprime = scalarmult(inva, Aprime);
   r = hashToExponent(generateRandomBytes(64));
   R = scalarmult(r, Bprime);
   messageHash := H(groupElementToBytes(R),
                    groupElementToBytes(blindedPub.Bprime),
                    groupElementToBytes(blindedPub.Aprime),
                    msg);

   s := r + (hashToExponent(messageHash) * fakea);

   return Signature{R = R, s = s};


 verification will work because
 sBprime = rBprime+(hashToExponent(messageHash) * fakea)Bprime
         = R + (hashToExponent(messageHash) * fakea*1/fakea)Aprime
         = R + hashToExponent(messageHash) Aprime

 This is all the directory service can check, so it will accept the
 information provided with the signature as authoritative.

-- 
Ticket URL: <https://trac.torproject.org/projects/tor/ticket/8106#comment:21>
Tor Bug Tracker & Wiki <https://trac.torproject.org/>
The Tor Project: anonymity online
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