Definition. Quantifying Anonymity. Anonymous Communication. How can we calculate how anonymous we are? Who you are from the communicating party

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1 Definition Anonymous Communication Hiding identities of parties involved in communications from each other, or from third-parties Who you are from the communicating party Who you are talking to from everyone else COS 58: Advanced Computer Systems Lecture Michael Freedman Slides based heavily on Christo Wilson s CS700/5700 at Northeastern Quantifying Anonymity How can we calculate how anonymous we are? Suspects (Anonymity Set) Who sent this message? Larger anonymity set = stronger anonymity

2 Crypto (SSL) Data Traffic Anonymity Systems Content is unobservable Due to encryption 5 Source and destination are trivially linkable No anonymity! 6 Anonymizing Proxies Anonymizing VPNs HTTPS Proxy No anonymity! VPN Gateway No anonymity! Source is known Destination anonymity Destination known Source anonymity 7 Source is known Destination anonymity Destination known Source anonymity 8

3 Crowds Crowds Key idea Users traffic blends into a crowd of users Eavesdroppers and end-hosts don t know which user originated what traffic High-level implementation Every user runs a proxy on their system When a message is received, select x [0, ] If x > p f : forward the message to a random proxy Else: deliver the message to the actual receiver 9 0 Crowds Example Anonymity in Crowds Links between users use public key crypto No source anonymity Target receives m (>= 0) msgs, sends m+ msgs Thus, target is sending something Users may appear on the path multiple times Final Destination Destination anonymity is maintained If the source isn t sending directly to the receiver

4 Anonymity in Crowds Anonymity in Crowds Source and destination are anonymous Source and destination are proxies Destination is hidden by encryption Destination known Source is anonymous O(n) possible sources, where n is the number of proxies Anonymity in Crowds Destination is known Evil proxy able to decrypt the message Source is somewhat anonymous Suppose f evil in system and if p f > 0.5 and n > (f + ), source cannot be inferred with prob > 0.5 Summary of Crowds The good: Crowds has excellent scalability Each user helps forward messages and handle load More users = better anonymity for everyone Strong source anonymity guarantees The bad: Very weak destination anonymity Evil proxies can always see the destination Weak unlinkability guarantees 5 6

5 Mix Networks A different approach to anonymity than Crowds MIXes Originally designed for anonymous David Chaum, 98 Concept has since been generalized for TCP traffic Hugely influential ideas Onion routing Traffic mixing Dummy traffic (a.k.a. cover traffic) 7 8 Onion Routing Encrypted Tunnels Mix Another View of Encrypted Paths [K P, K P, K P ] E(K P, E(K P, E(K P, M))) = C Nonencrypted Mixes form a cascade of anonymous proxies data All traffic is protected with layers of encryption 9 0 5

6 Return Traffic Traffic Mixing In a mix network, how can the destination respond to the sender? During path establishment, the sender places keys at each mix along the path Data is re-encrypted as it travels the reverse path <K P, K S > K P K P K P Hinders timing attacks Messages may be artificially delayed Temporal correlation is warped Problems: Requires lots of traffic Adds latency to network flows Mix collects msgs for t seconds Messages are randomly shuffled and sent in a different order Arrival Order Send Order Applied to cryptographic voting Chain multiple MIXes for security Synchronously collects and shuffles messages (votes) Server collects votes Secure as long as at least honest Computes random shuffle of votes Arrival Order Send Order Arrival Order Send Order Outputs votes in randomized order Includes proof that correctly shuffled Random shuffle Random shuffle Random shuffle 6

7 Dummy / Cover Traffic Simple idea: Send useless traffic to help obfuscate real traffic In practice Hard to be anonymous Information leaked at many layers 5 6 Using Content to Deanonymize It s Hard to be Anonymous! HTTPS Proxy Login to account Information sent in cookies Accessing Facebook pages No anonymity! Network location (IP address) can be linked directly to you ISPs store communications records (legally required for several years) Law enforcement can subpoena these records Application is being tracked Cookies, Flash cookies, E-Tags, HTML5 Storage, browser fingerprinting Centralized services like Skype, Google voice Activities can be used to identify you Unique websites and apps that you use, types of clicked links Types of links that you click 7 8 7

8 You Have to Protect at All Layers! Wednesday s reading Tor: nd generation onion routing (00) Challenges: Freenet: Anonymous file-sharing (000) Maintain performance Provide functionality! 9 0 8

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