`
`MICHAEL K. REITER
`Bell Laboratories, Lucent Technologies
`and
`AVIEL D. RUBIN
`AT&T Labs-Research
`
`In this paper we introduce a system called Crowds for protecting users' anonymity on the
`world-wide-web. Crowds, named for the notion of "blending into a crowd," operates by
`grouping users into a large and geographically diverse group (crowd) that collectively issues
`requests on behalf of its members. Web servers are unable to learn the true source of a request
`because it is equally likely to have originated from any member of the crowd, and even
`collaborating crowd members cannot distinguish the originator of a request from a member
`who is merely forwarding the request on behalf of another. We describe the design, implemen(cid:173)
`tation, security, performance, and scalability of our system. Our security analysis introduces
`degrees of anonymity as an important tool for describing and proving anonymity properties.
`Categories and Subject Descriptors: C.2.0 [Computer-Communication Networks]: Gener(cid:173)
`al-Security and protection; C.2.2 [Computer-Communication Networks]: Network Proto(cid:173)
`cols-Applications; K.4.1 [Computers and Society]: Public Policy Issues-Privacy; K.4.4
`[Computers and Society]: Electronic Commerce-Security
`
`General Terms: Security
`
`Additional Key Words and Phrases: Anonymous communication, world-wide-web
`
`1. INTRODUCTION
`Every man should know that his conversations, his correspondence, and his
`personal life are private. -Lyndon B. Johnson, president of the United
`States, 1963-69
`The lack of privacy for transactions on the world-wide-web, or the
`Internet in general, is a well-documented fact [Brier 1997; Miller 1997].
`While encrypting communication to and from web servers (e.g., using SSL
`[Garfinkel and Spafford 1997, Ch. 12]) can hide the content of the transac(cid:173)
`tion from an eavesdropper (e.g., an Internet service provider, or a local
`
`Authors' addresses: M. K. Reiter, Bell Laboratories, Lucent Technologies, 700 Mountain
`Avenue, Room 2A-342, Murray Hill, NJ 07974; email: reiter@research.bell-labs.com; A. D.
`Rubin, AT&T Labs-Research, 180 Park Avenue, Room A239, Florham Park, NJ 07932-0972;
`email: rubin@research.att.com.
`Permission to make digital/hard copy of part or all of this work for personal or classroom use
`is granted without fee provided that the copies are not made or distributed for profit or
`commercial advantage, the copyright notice, the title of the publication, and its date appear,
`and notice is given that copying is by permission of the ACM, Inc. To copy otherwise, to
`republish, to post on servers, or to redistribute to lists, requires prior specific permission
`and/or a fee.
`© 1998 ACM 1094-9224/98/1100-0066 $5.00
`
`ACM Transactions on Information and System Security, Vol. 1, No. 1, November 1998, Pages 66-92.
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`NetNut Ltd. v. Bright Data Ltd.
`NetNut Exhibit 1006
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`system administrator), the eavesdropper can still learn the IP addresses of
`the client and server computers, the length of the data being exchanged,
`and the time and frequency of exchanges. Encryption also does little to
`protect the privacy of the client from the server. A web server can record
`the Internet addresses at which its clients reside, the servers that referred
`the clients to it, and the times and frequencies of accesses by its clients.
`With additional effort, this information can be combined with other data to
`invade the privacy of clients even further. For example, by automatically
`fingering the client computer shortly after an access and comparing the
`idle time for each user of the client computer with the server access time,
`the server administrator can often deduce the exact user with high likeli(cid:173)
`hood. Some consequences of such privacy abuses are described in Miller
`[1997].
`In this paper we introduce a new approach for increasing the privacy of
`web transactions and a system, called Crowds, that implements it. Our
`approach is based on the idea of "blending into a crowd," i.e., hiding one's
`actions within the actions of many others. To execute web transactions in
`our model, a user first joins a "crowd" of other users. The user's request to
`a web server is first passed to a random member of the crowd. That
`member can either submit the request directly to the end server or forward
`it to another randomly chosen member, and in the latter case the next
`member chooses to submit or forward independently. When the request is
`eventually submitted, it is submitted by a random member, thus prevent(cid:173)
`ing the end server from identifying its true initiator. Even crowd members
`cannot identify the initiator of the request, since the initiator is indistin(cid:173)
`guishable from a member that simply forwards a request from another.
`In studying the anonymity properties provided by this simple mecha(cid:173)
`nism, we introduce the notion of degrees of anonymity. We argue that the
`degree of anonymity provided against an attacker can be viewed as a
`continuum, ranging from no anonymity to complete anonymity and having
`several interesting points in between. We informally define these interme(cid:173)
`diate points and, for our Crowds mechanism described above, we refine
`these definitions and prove anonymity properties for our system. We expect
`these definitions and proofs to yield insights into proving anonymity
`properties for other approaches as well.
`An intriguing property of Crowds is that a member of a crowd may
`submit requests initiated by other users. This has both negative and
`positive consequences. On the negative side, the user may be incorrectly
`suspected of originating that request. On the positive side, this property
`suggests that the mere availability of Crowds offers the user some degree of
`deniability for her observed browsing behavior, if it is possible that she was
`using Crowds. Moreover, if Crowds becomes widely adopted, then the
`presumption that the computer from which a request is received is the
`computer that originated the request will become decreasingly valid (and
`thus decreasingly utilized).
`The anonymity provided by Crowds is subject to some caveats. For
`example, Crowds obviously cannot protect a user's anonymity if the content
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`M. K. Reiter and A. D. Rubin
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`of her web transactions reveals her identity to the web server (e.g., if the
`user submits her name and credit card number in a web form). More subtly,
`Crowds can be undermined by executable web content that, if downloaded
`into the user's browser, can open network connections directly from the
`browser to web servers, thus bypassing Crowds altogether and exposing the
`user to the end server. In today's browsers, such executable content takes
`the form of Java applets and ActiveX controls. Therefore, when using
`Crowds, it is recommended that Java and ActiveX be disabled in the
`browser, which can typically be done via a simple preferences menu in the
`browser.
`The rest of this paper is structured as follows: In Section 2, we state the
`anonymity goals of our system more precisely and introduce the notion of
`degrees of anonymity. This gives us sufficient groundwork to compare our
`approach to other approaches to anonymity in Section 3. We describe the
`basic Crowds mechanism in Section 4 and analyze its security in Section 5.
`We describe the performance and scalability of our system in Sections 6
`and 7, respectively. We discuss crowd membership in Section 8, the
`system's user interface in Section 9, and the obstacles that firewalls
`present to wide scale adoption of Crowds in Section 10. We conclude in
`Section 11.
`
`2. GOALS
`
`2.1 Anonymity
`As discussed in Pfitzmann and Waidner [1987], there are three types of
`anonymous communication properties that can be provided: sender ano(cid:173)
`nymity, receiver anonymity, and unlinkability of sender and receiver.
`Sender anonymity means that the identity of the party who sent a message
`is hidden, while its receiver (and the message itselD might not be. Receiver
`anonymity similarly means that the identity of the receiver is hidden.
`Unlinkability of sender and receiver means that though the sender and
`receiver can each be identified as participating in some communication,
`they cannot be identified as communicating with each other.
`A second aspect of anonymous communication is the attackers against
`which these properties are achieved. The attacker might be an eavesdrop(cid:173)
`per that can observe some or all messages sent and received; collaborations
`consisting of some senders, receivers, and other parties; or variations of
`these [Pfitzmann and Waidner 1987].
`To these two aspects of anonymous communication, we add a third: the
`degree of anonymity. As shown in Figure 1, the degree of anonymity can be
`viewed as an informal continuum. For simplicity, we describe this contin(cid:173)
`uum with respect to sender anonymity, but it can naturally be extended to
`receiver anonymity and unlinkability as well. On one end of the spectrum is
`absolute privacy: absolute sender privacy against an attacker means that
`the attacker can in no way distinguish the situations in which a potential
`sender actually sent communication and those in which it did not. That is,
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`absolute
`privacy
`
`beyond
`suspicion
`
`probable
`innocence
`
`possible
`innocence
`
`exposed
`
`provably
`exposed
`
`Fig. 1. Degrees of anonymity: Degrees range from absolute privacy, where the attacker
`cannot perceive the presence of communication, to provably exposed, where the attacker can
`prove the sender, receiver, or their relationship to others.
`
`sending a message results in no observable effects for the attacker. On the
`other end of the spectrum is provably exposed: the identity of a sender is
`provably exposed if the attacker can identify the sender of a message, and
`can also prove the identity of the sender to others.
`For the purposes of this pa per, the following three intermediate points of
`this spectrum are of interest, listed from strongest to weakest.
`-Beyond suspicion: A sender's anonymity is beyond suspicion if though
`the attacker can see evidence of a sent message, the sender appears no
`more likely to be the originator of that message than any other potential
`sender in the system.
`
`-Probable innocence: A sender is probably innocent if, from the attack(cid:173)
`er's point of view, the sender appears no more likely to be the originator
`than to not be the originator. This is weaker than beyond suspicion in
`that the attacker may have reason to suspect that the sender is more
`likely to be responsible than any other potential sender, but it still
`appears at least as likely that the sender is not responsible.
`
`-Possible innocence: A sender is possibly innocent if, from the attack(cid:173)
`er's point of view, there is a nontrivial probability that the real sender is
`someone else.
`It is possible to describe these intermediate points for receiver anonymity
`and sender/receiver unlinkability as well. When necessary, we define these
`intermediate points more precisely.
`Which degree of anonymity suffices for a user obviously depends on the
`user and her circumstances. Probable innocence sender anonymity should
`prevent many types of attackers from acting on their suspicions (therefore
`avoiding many abuses, e.g., cited in Miller [1997]) due to the high probabil(cid:173)
`ity that those suspicions are incorrect. However, if the user wishes to avoid
`any suspicion whatsoever-including even suspicions not sufficiently cer(cid:173)
`tain for the attacker to act upon-then she should insist on beyond
`suspicion sender anonymity.
`The default degree of anonymity on the web for most information and
`attackers is exposed, as described in Section 1. All recent versions of
`Netscape Navigator and Internet Explorer are configured to automatically
`identify the client computer to web servers, by passing information includ(cid:173)
`ing the IP address and the host platform in request headers.
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`Table I. Anonymity Properties In Crowds
`
`Attacker
`
`Sender anonymity
`
`Receiver anonymity
`
`local eavesdropper
`
`exposed
`
`c collaborating members,
`
`probable innocence
`
`n 2: (p 11(pr - 1/2))(c + 1)
`end server
`
`?(absolute privacy) - - , 1
`n---'>OO
`beyond suspicion
`
`P(beyond suspicion) _ _ , 1
`n---'>oo
`?(absolute privacy) _ _ , 1
`n---'>oo
`
`NIA
`
`2.2 What Crowds Achieves
`As described in Section 1, our system consists of a dynamic collection of
`users, called a crowd. These users initiate web requests to various web
`servers (and receive replies from them), and thus the users are the
`"senders" and the servers are the "receivers". We consider the anonymity
`properties provided to an individual user against three distinct types of
`attackers:
`
`-A local eavesdropper is an attacker who can observe all (and only)
`communication to and from the user's computer.
`
`-Collaborating crowd members are other crowd members that can pool
`their information and even deviate from the prescribed protocol.
`
`-The end server is the web server to which the web transaction is
`directed.
`
`The above descriptions are intended to capture the full capabilities of each
`attacker. For example, collaborating members and the end server cannot
`eavesdrop on communication between other members. Similarly, a local
`eavesdropper cannot eavesdrop on messages other than those sent or
`received by the user's computer. A local eavesdropper is intended to model,
`e.g., an eavesdropper on the local area network of the user, such as an
`administrator monitoring web usage at a local firewall. However, if the
`same LAN also serves the end server, then the eavesdropper is effectively
`global, and we provide no protections against it.
`The security offered against each of these types of attackers is summa(cid:173)
`rized in Table 1 and justified in the remainder of the paper. As indicated by
`the omission of an "unlinkability of sender and receiver" column from this
`table, our system serves primarily to hide the sender or receiver from the
`attacker. In this table, n denotes the number of members in the crowd (for
`the moment we treat this as static) andp1 > 1/2 denotes the probability of
`forwarding, i.e., when a crowd member receives a request, the probability
`that it forwards the request to another member, rather than submitting it
`to the end server. (p 1 is explained more fully in Section 4.) The boldface
`claims in the table-i.e., probable innocence sender anonymity against
`collaborating members and beyond suspicion sender anonymity against the
`end server-are guarantees. The probability of beyond suspicion receiver
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`anonymity against a local eavesdropper, on the other hand, only increases
`to one asymptotically as the crowd size increases to infinity. Put another
`way, if the local eavesdropper is sufficiently lucky, then it observes events
`that expose the receiver of a web request, and otherwise the receiver is
`beyond suspicion. However, the probability that it views these events
`decreases as a function of the size of the crowd. Similarly, a sender's
`assurance of absolute privacy against collaborating members also holds
`asymptotically with probability one as crowd size grows to infinity (for a
`constant number of collaborators). Thus, if the collaborators are unlucky,
`users achieve absolute privacy. We provide a more careful treatment of
`these notions in Section 5.
`Of course, against an attacker that is comprised of two or more of the
`attackers described above, our system yields degrees of sender and receiver
`anonymity that are the minimum among those provided against the attack(cid:173)
`ers present. For example, if a local eavesdropper and the end server to
`which the user's request is destined collaborate in an attack, then our
`techniques achieve neither sender anonymity nor receiver anonymity.
`Another caveat is that all of the claims of sender and receiver anonymity in
`this section, and their justifications in the remainder of this paper, require
`that neither message contents themselves nor a priori knowledge of sender
`behavior give clues to the sender's or receiver's identity.
`
`2.3 What Crowds Does Not Achieve
`Crowds makes no effort to defend against denial-of-service attacks by rogue
`crowd members. A crowd member could, e.g., accept messages from other
`crowd members and refuse to pass them along. In our system, such
`denial-of-service can result from malicious behavior, but typically does not
`result if (the process representing) a crowd member fails benignly or leaves
`the crowd. As a result, these attacks are detectable. More difficult to detect
`are active attacks where crowd members substitute wrong information in
`response to web requests that they receive from other crowd members.
`Such attacks are inherent in any system that uses intermediaries to
`forward unprotected information, but fortunately they cannot be utilized to
`compromise anonymity directly.
`
`3. RELATED WORK
`There are two basic approaches previously proposed for achieving anony(cid:173)
`mous web transactions. The first approach is to interpose an additional
`party (a proxy) between the sender and receiver to hide the sender's
`identity from the receiver. Examples of such proxies include the Anony(cid:173)
`mizer (http: //www.anonymizer.com/) and the Lucent Personalized Web
`Assistant [Gabber, Gibbons, Matias, and Mayer 1997] (http:// lpwa. com).
`Crowds provides protection against a wider range of attackers than proxies
`do. In particular, proxy-based systems are entirely vulnerable to a passive
`attacker in control of the proxy, since the attacker can monitor and record
`the senders and receivers of all communication. Our system presents no
`
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`single point at which a passive attack can cripple all users' anonymity. In
`addition, a proxy is typically a single point of failure; i.e., if the proxy fails,
`then anonymous browsing cannot continue. In Crowds, no single failure
`discontinues all ongoing web transactions.
`A second approach to achieving anonymous web transactions is to use a
`mix [Chaum 1981]. A mix is actually an enhanced proxy that, in addition to
`hiding the sender from the receiver, also takes measures to provide sender
`and receiver unlinkability against a global eavesdropper. It does so by
`collecting messages of equal length from senders, cryptographically alter(cid:173)
`ing them (typically by decrypting them with its private key), and forward(cid:173)
`ing the messages to their recipients in a different order. These techniques
`make it difficult for an eavesdropper to determine which output messages
`correspond to which input messages. A natural extension is to interpose a
`sequence of mixes between the sender and receiver [Chaum 1981]. A
`sequence of mixes can tolerate colluding mixes, as any single correctly(cid:173)
`behaving mix server in the sequence prevents an eavesdropper from linking
`the sender and receiver. Mixes have been implemented to support many
`types of communication, for example, electronic mail [Gulcu and Tsudik
`1996], ISDN service [Pfitzmann, Pfitzmann, and Waidner 1991], and gen(cid:173)
`eral synchronous communication (including web browsing) [Syverson, Gold(cid:173)
`schlag, and Reed 1997].
`The properties offered by Crowds are different from those offered by
`mixes. As described above, Crowds provide (probable innocence) sender
`anonymity against collaborating crowd members. In contrast, in the closest
`analog to this attack in typical mix systems-i.e., a group of collaborating
`mix servers-mixes do not provide sender anonymity but do ensure sender
`and receiver unlinkability [Pfitzmann and Waidner 1987]. Another differ(cid:173)
`ence is that mixes provide sender and receiver unlinkability against a
`global eavesdropper. Crowds does not provide anonymity against global
`eavesdroppers. However, our intention is for a crowd to span multiple
`administrative domains, where the existence of a global eavesdropper is
`unlikely. Another difference is that mixes typically rely on public key
`encryption, the algebraic properties of which have been exploited to break
`some implementations [Pfitzmann and Pfitzmann 1990].
`Crowds' unique properties admit very efficient implementations in com(cid:173)
`parison to mixes. With mixes, the length of a message routed through a mix
`network grows proportionally to the number of mixes through which it is
`routed, and the mix network must pad messages to fixed lengths and
`generate decoy messages to foil traffic analysis. Moreover, in a typical mix
`implementation, routing a message through a sequence of n mixes incurs a
`cost of n public key encryptions and n private key decryptions on the
`critical path of the message, which are comparatively expensive operations.
`Thus, since the unlinkability provided by mixes is tolerant of up to n -
`l
`mixes colluding, increasing n improves anonymity but hurts performance.
`Privacy in Crowds can similarly be enhanced by increasing the average
`number of times a request is forwarded among members before being
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`submitted to the end server, but this should impact performance less
`because there are no public/private key operations, no inflation of message
`transmission lengths (beyond a small, constant-size header), and no decoy
`messages needed.
`Another performance advantage of Crowds is that since each user ac(cid:173)
`tively participates in the function of the crowd, the throughput of a crowd
`grows as a function of the number of users. In fact, we show in Section 7
`that a crowd can scale almost limitlessly (in theory), in the sense that the
`load on each user's computer is expected to remain roughly constant as new
`users join the crowd. With a fixed network of mixes, the load of each server
`increases proportionally to the number of users, with a resulting linear
`decrease in throughput.
`
`4. CROWD OVERVIEW
`As discussed previously, a crowd can be thought of as a collection of users.
`A user is represented in a crowd by a process on her computer called a
`Janda (pronounced "John Doe" and meant to convey the image of a faceless
`participant). The user (or a local administrator) starts the jondo on the
`user's computer. When the jondo is started, it contacts a server called the
`blender to request admittance to the crowd. If admitted, the blender reports
`to this jondo the current membership of the crowd and information that
`enables this jondo to participate in the crowd. We defer further discussion
`of the blender and crowd membership maintenance to Section 8.
`The user selects this jondo as her web proxy by specifying its host name
`and port number in her web browser as the proxy for all services. Thus, any
`request coming from the browser is sent directly to the jondo. 1 Upon
`receiving the first user request from the browser, the jondo initiates the
`establishment of a random path of jondos that carries its users' transac(cid:173)
`tions to and from their intended web servers. More precisely, the jondo
`picks a jondo from the crowd (possibly itself) at random, and forwards the
`request to it. When this jondo receives the request, it flips a biased coin to
`determine whether or not to forward the request to another jondo; the coin
`indicates to forward with probability Pt· If the result is to forward, then the
`jondo selects a random jondo and forwards the request to it, and otherwise
`the jondo submits the request to the end server for which the request was
`destined. So, each request travels from the user's browser, through some
`number of jondos, and finally to the end server. A possible set of such paths
`is shown in Figure 2. In this figure, the paths are 1 -
`5 -
`server; 2 -
`server; 3 -
`1 -
`6 -
`server; 4 -
`4 -
`server; 5 -
`4 -
`6 -
`6 -
`2 -
`server; and 6 -
`3 -
`server. Subsequent requests initiated at the same
`
`1The services that must be proxied include Gopher, FTP, HTTP and SSL. Otherwise, e.g., FTP
`requests triggered by downloading a web page would not go through the crowd, and would
`thus reveal the user's IP address to the end server. Java and ActiveX should be disabled in the
`browser as well, because a Java applet or ActiveX control embedded in a retrieved web page
`could connect back to its server directly and reveal the user's IP address to that server.
`
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`Crowd
`
`Web Servers
`
`Fig. 2. Paths in a crowd (the initiator and web server of each path are labeled the same).
`
`jondo follow the same path (except perhaps going to a different end server),
`and server replies traverse the same path as the requests, only in reverse.
`A pseudocode description of a jondo is presented in Figure 3. This figure
`describes a thread of execution that is executed per received request. This
`description uses client-server terminology, where one jondo is a client of its
`successor on the path. For each path, indicated by a path id, the value
`next[path_id] is the next jondo on the path. To assign next jondos for paths,
`each jondo maintains a set Jondos of jondos that it believes to be active
`(itself included). When it chooses to direct the path to another jondo, it
`selects the next jondo uniformly at random from this set (lines 6, 16, and
`
`26); i.e., "- S" denotes selection from the set S uniformly at random.
`R
`Subsequent sections shed greater light on the operation of a jondo and the
`pseudocode description of Figure 3.
`It is important for the jondo at each position in a path to hold a different
`path identifier for the path. That is, if a jondo receives a request marked
`with path_id from its predecessor in a path, then it replaces path_id with a
`different path identifier stored in translate[path_id] before forwarding the
`request to its successor (if a jondo). This enables a jondo that occupies
`multiple positions on a path to act independently in each position: if the
`path_id remained the same along the path, then the jondo would behave
`identically each time it received a message on the path, resulting in an
`infinite loop. Path identifiers should be unique and unpredictable; in our
`present implementation, new_path_id() (lines 5 and 15) returns a random
`128-bit value.
`Omitted from the description in Figure 3 is that fact that all communica(cid:173)
`tion between any two jondos is encrypted using a key known only to the two
`
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`(1)
`(2)
`(3)
`(4)
`(5)
`(6)
`(7)
`(8)
`(9)
`(10)
`(11)
`(12)
`(13)
`(14)
`(15)
`(16)
`(17)
`(18)
`(19)
`(20)
`
`(21)
`(22)
`(23)
`(24)
`(25)
`(26)
`(27)
`(28)
`(29)
`
`(30)
`(31)
`(32)
`(33)
`
`client,request +- receive.request()
`if (client = browser)
`sanitize(request)
`if (my_path_id = 1-)
`my_path_id +- new_path_id()
`next[my_path_id] +-R Jondos
`forward.request ( my _path_id)
`
`else
`
`path_id +- remove_path_id(request)
`if ( translate[path_id] = 1-)
`coin +- coinJlip(p I)
`if ( coin = heads)
`translate[path_id] +- 'submit'
`
`else
`
`translate[path_id] +- new_path_id()
`next[translate[path_idl] +- R Jondos
`if (translate[path_id] = 'submit')
`submit.request()
`
`else
`
`forward.request( translate[pathJd])
`
`subroutine forward.request( out_path_id)
`send ouLpath_idllrequest to next[ouLpath_id]
`reply +- awaiLreply( ex,)
`if (reply = 'jondo failed')
`Jondos +- Jondos \ { next[ouLpath_id]}
`next[out.path_id] +- R Jondos
`forward.request ( out_path_id)
`
`else
`
`send reply to client
`
`/* strip cookies and identifying headers • /
`/* if my _path_id is not initialized ... • /
`
`/* client is a jondo • /
`/* remove "incoming" path id * /
`/* "incoming" path id is new * /
`/* tails with probability p I • /
`
`/* set "outgoing" path id • /
`/* select next jondo at random • /
`
`/* wait for reply or recognizable jondo failure * /
`/* jondo failed • /
`/* remove the jondo * /
`/* assign a new random jondo for this path • /
`/* try again * /
`/* received reply from jondo • /
`
`subroutine submit.request ()
`send request to destination(request)
`reply+- await_reply(timeout)
`send reply to client
`
`/* send to destination web server • /
`/* wait for reply, timeout, or server failure • /
`/* send reply or error message to client * /
`
`Fig. 3. Pseudocode description of a jondo.
`
`of them. Encryption keys are established as jondos join the crowd, as is
`discussed in Section 8.
`
`5. SECURITY ANALYSIS
`In this section we consider the question of what information an attacker
`can learn about the senders and receivers of web transactions, given the
`mechanisms we described in Section 4. The types of attackers we consider
`were described in Section 2. Our analysis begins with the two attackers for
`which analysis is more straightforward, namely a local eavesdropper and
`the end server. This is followed by an analysis of crowd security versus
`collaborating jondos.
`
`5.1 Local Eavesdropper
`Recall that a local eavesdropper is an attacker that can observe all (and
`only) communication emanating from an individual user's computer. When
`this user initiates a request, the fact that she did so is exposed to the local
`eavesdropper, since we make no effort to hide correlations between inputs
`to and outputs from the initiating computer. That is, the local eavesdropper
`observes that a request output by the user's computer did not result from a
`corresponding input. Thus, we offer no sender anonymity against a local
`eavesdropper.
`
`ACM Transactions on Information and System Security, Vol. 1, No. 1, November 1998.
`
`NetNut Ltd. v. Bright Data Ltd.
`NetNut Exhibit 1006
`Page 10 of 27
`
`
`
`76
`
`M. K. Reiter and A. D. Rubin
`
`The mechanisms we described do, however, typically prevent a local
`eavesdropper from learning the intended receiver of a request, because
`every message forwarded on a path, except for the final request to the end
`server, is encrypted. Thus, while the eavesdropper is able to view any
`message emanating from the user's computer, it only views a message
`submitted to the end server (or equivalently a plaintext message containing
`the end server's address) if the user's jondo ultimately submits the user's
`request itself. Since the probability that the user's jondo ultimately sub(cid:173)
`mits the request is 1 / n where n is the size of the crowd when the path
`was created, the probability that the eavesdropper learns the identity of
`the receiver decreases as a function of crowd size. Moreover, when the
`user's jondo does not ultimately submit the request, the local eavesdropper
`sees only the encrypted address of the end server, which we suggest yields
`receiver anonymity that is (informally) beyond suspicion. Thus, P(beyond
`
`suspicion) ~ 1 for receiver anonymity.
`n-oo
`
`5.2 End Servers
`We now consider the security of our system against an attack by the end
`server only. Because the web server is the receiver, obviously receiver
`anonymity is not possible against this attacker. However, the anonymity
`for the path initiator is quite strong. In particular, since the path initiator
`first forwards to another jondo when creating its path (see Section 4), the
`end server is equally likely to receive the initiator's requests from any
`crowd member. That is, from the end server's perspective, all crowd
`members are equally likely to have initiated t