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Mottagare: Bugtraq (import) <13388>
Ärende: [CORE SDI ADVISORY] MySQL weak authentication
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From: Iván Arce <core.lists.bugtraq@CORE-SDI.COM>
To: BUGTRAQ@SECURITYFOCUS.COM
Message-ID: <035a01c03d3d$b34a8a40$2e58a8c0@ffornicario>

                                         CORE SDI
                                   http://www.core-sdi.com

                   Vulnerability Report for MySQL Authentication
Vulnerability


Date Published: 2000-10-23

Advisory ID: CORE-20001023

Bugtraq ID: 1826

CVE CAN: Not currently assigned.

Title: MySQL Authentication Vulnerability

Class: Design Error

Remotely Exploitable: Yes

Locally Exploitable: No


Vulnerability Description:

 The "MySQL Database Engine" uses an authentication scheme designed
 to prevent the flow of plaintext passwords over the network and the
 storage of them in plaintext. For that purpose a challenge-response
 mechanism for authentication has been implemented on all versions of
 MySQL. Slight variations are to be found between version 3.20 and
 3.21 and above.

 Regrettably, this authentication mechanism is not cryptographically
 strong. Specifically, each time a user executes this mechanism,
 information allowing an attacker to recover this user's password is
 leaked. Using an attack of our design, described in the "Technical
 details" section of this advisory,  an eavesdropper is able to
 recover the user's password after witnessing only a few executions
 of this protocol, and thence is able to authenticate to the database
 engine impersonating a valid user.

Vulnerable Packages/Systems:
  All versions of MySQL

Solution/Vendor Information/Workaround:

 The vendor is aware of the problems described and suggests
 encrypting the traffic between client and server to prevent
 exploitation.
 For further details refer to:

http://www.mysql.com/documentation/mysql/commented/manual.php?section=Securi
ty

 Plans to implement a stronger authentication mechanism are being
 discussed for future versions of MySQL.

 Additionally, advisories and information on security issues
 in MySQL can be obtained from:

        http://www.securityfocus.com/bid/1147
        http://www.securityfocus.com/bid/975
        http://www.securityfocus.com/bid/926

Vendor notified on: October 19th, 2000

Credits:

 These vulnerabilities were found and researched by Ariel "Wata"
 Waissbein, Emiliano Kargieman, Carlos Sarraute, Gerardo Richarte and
 Agustin "Kato" Azubel of CORE SDI, Buenos Aires, Argentina.

 This advisory was drafted with the help of the SecurityFocus.com
 Vulnerability Help Team. For more information or assistance drafting
 advisories please mail vulnhelp@securityfocus.com.

Technical Description - Exploit/Concept Code:

 1. The challenge/response mechanism

 The challenge-response mechanism devised in MySQL does the following:
 From mysql-3.22.32/sql/password.c:

 /***********************************************************************
 The main idea is that no passwords are sent between client & server on
 connection and that no passwords are saved in mysql in a decodable
 form.

 MySQL provides users with two primitives used for authentication: a
 hash function and a (supposedly) random generator. On connection a
 random string is generated by the server and sent to the client. The
 client, using as input the hash value of the random string he has
 received and the hash value of his password, calculates a new string
 using the random generator primitive.  This 'check' string is sent
 to the server, where it is compared with a string generated from the
 stored hash_value of the password and the random string.

 The password is saved (in user.password) by using the PASSWORD()
 function in mysql.

  Example:
    update user set password=PASSWORD("hello") where user="test"
  This saves a hashed number as a string in the password field.
  **********************************************************************/

 To accomplish that purpose several functions and data structures are
  implemented:

  mysql-3.22.32/include/mysql_com.h:
   struct rand_struct {
    unsigned long seed1,seed2,max_value;
    double max_value_dbl;
   };

  mysql-3.22.32/sql/password.c:
   void randominit(struct rand_struct *rand_st,ulong seed1, ulong seed2)
    Initializes the PRNG, used by versions 3.21 and up

   static void old_randominit(struct rand_struct *rand_st,ulong seed1)
    Initializes the PRNG, used by versions up to 3.20

  double rnd(struct rand_struct *rand_st)
    Provides a random floating point (double) number taken from
    the PRNG between 0 and rand_st->max_value

  void hash_password(ulong *result, const char *password)
    Calculates a hash of a password string and stores it
    in 'result'.

  void make_scrambled_password(char *to,const char *password)
    Hashes and stores the password in a readable form in 'to'

  char *scramble(char *to,const char *message,const char *password,
               my_bool old_ver)
    Genererate a new message based on message and password
    The same thing is done in client and server and the results are
    checked.

  my_bool check_scramble(const char *scrambled, const char *message,
                       ulong *hash_pass, my_bool old_ver)
    Checks if the string generated by the hashed password and the
    message sent matches the string received from the other endpoint.
    This is the check for the challenge-response mechanism.

  The MySQL engine initializes the PRNG upon startup of the server
  as follows:

  mysql-3.22.32/sql/mysqld.cc:main()
  randominit(&sql_rand,(ulong) start_time,(ulong) start_time/2);
    Where start_time is obtained using the seconds since 0:00 Jan 1,
    1970 UTC using time(3) when the server starts. Our first observation
    is that the PRNG is seeded with an easily guessable value. Though,
    this observation has no direct implications in the vulnerability we
    present.

  Upon connection to the server from a client a new thread is created to
  handle it and a random string is calculate and stored in per
  connection structure, this is done in
  mysql-3.22.32/sql/mysqld.cc:create_new_thread():
    ...
    (thread_count-delayed_insert_threads > max_used_connections)
    max_used_connections=thread_count-delayed_insert_threads;
    thd->thread_id=thread_id++;
    for (uint i=0; i < 8 ; i++)         // Generate password teststring
      thd->scramble[i]= (char) (rnd(&sql_rand)*94+33);
    thd->scramble[8]=0;
    thd->rand=sql_rand;
    threads.append(thd);

    /* Start a new thread to handle connection */
    ...
  The challenge/response exchange is performed and checked in
  mysql-3.22.32/sql/sql_parse.cc:check_connections():
    ....
    memcpy(end,thd->scramble,SCRAMBLE_LENGTH+1);
    end+=SCRAMBLE_LENGTH+1;
    ...
    if (net_write_command(net,protocol_version, buff, (uint) (end-buff)) ||
        (pkt_len=my_net_read(net)) == packet_error || pkt_len < 6)
    {
      inc_host_errors(&thd->remote.sin_addr);
      return(ER_HANDSHAKE_ERROR);
    }
    Here the random string has been sent (along with other server
     data) and the response has been read.
    The authentication checks are then perfomed
     ...
     char *passwd= strend((char*) net->read_pos+5)+1;
     if (passwd[0] && strlen(passwd) != SCRAMBLE_LENGTH)
       return ER_HANDSHAKE_ERROR;
      thd->master_access=acl_getroot(thd->host, thd->ip, thd->user,
                                 passwd, thd->scramble, &thd->priv_user,
                                 protocol_version == 9 ||
                                 !(thd->client_capabilities &
                                   CLIENT_LONG_PASSWORD));
     thd->password=test(passwd[0]);
     ...
     acl_getroot() in mysql-3.22.32/sql/sql_acl.cc does the permission
     checks for the username and host the connection comes from and
     calls the check_scramble function described above to verify the
     valid reponse to the challenge sent. If the response is checked
     valid we say this (challenge and response) test was passed.

 2. The problem: Cryptographically weak authentication scheme


  The hash function provided by MySQL outputs eight-bytes strings
  (64 bits), whereas the random number generator outputs five-bytes
  strings (40 bits).
  Notice that as for the authentication mechanism described above, to
  impersonate a user only the hash value of this user's password is
  needed, e.g. not the actual password.

  We now describe why the hash value of the password can be
  efficiently calculated using only a few executions of the
  challenge- and-response mechanism for the same user. In particular,
  we introduce a weakness of this authentication scheme, and deduce
  that an attack more efficient than brute-force attack can be
  carried out.

  Firstly we describe how the MySQL random generator (PRNG) works.
  Then we proceed to analyse this scheme's security. The algorithm for
  making these calculations will be briefly described in the following
  section.

  Let n := 2^{30}-1 (here n is the max_value used in randominit() and
  old_randoninit() respectively). Fix a user U. And initiate a
  challenge and response. That is, suppose the server has sent a
  challenge to the user U. The hash value of this user's password is
  8 bytes long. Denote by P1 the first (leftmost) 4 bytes of this
  hash value and by P2 the last 4 bytes (rightmost). Likewise, let C1
  denote the first 4 bytes of the challenge's hash value and C2 the
  last 4. Then, the random generator works as follows:

  -calculate the values seed1 := P1^C1 and seed2 := P2^C2
  (here ^ denotes the bitwise exclusive or (XOR) function)

  -calculate recursively for 1 =< i =< 8

    seed1 = seed1+(3*seed2)         modulo (n)
    seed2 = seed1+seed2+33          modulo (n)
    r[i] = floor((seed1/n)*31)+64

  -calculate form the preceding values

    seed1 = seed1+(3*seed2)         modulo (n)
    seed2 = seed1+seed2+33          modulo (n)
    r[9] = floor((seed1/n)*31)

  -output the checksum value
   S=(r[1]^r[9] || r[2]^r[9] || ... || r[7]^r[9] || r[8]^r[9])

  It is this checksum that is sent, by U, to the server. The server,
  who has in store the hash value of U's password, recalculates the
  checksum by this same process and succintly verifies the
  authenticity of the value it has received. However it is a small
  collection of these checksums that allows any attacker to obtain P1
  and P2 (the hash value of the user's password). Hence, it is
  therefore possible to impersonate any user with only the
  information that travels on the wire between server and client
  (user).

  The reason why the process of producing the checksum out of the
  hash values of both the password and the challenge is insecure is
  that this process can be efficently reversed due to it's rich
  arithmetic properties.  More specifically, consider the random
  generator described above as a mapping 'f' that takes as input the
  two values X and Y and produces the checksum value f(X,Y)=S (e.g.,
  in our case X:=P1^C1 and Y:=P2^C2).  Then we can efficiently
  calculate all of the values X',Y' which map to the same checksum
  value than X,Y, i.e. if f(X,Y)=S, then we calculate the set of all
  the values X',Y' such that f(X',Y')=S. This set is of negligible
  size in comparison to the 2^64 points set of all the possible
  passwords' hashes in which it is contained. Furthermore, given a
  collection of challenges and responses made between the same user
  and the server, it is possible to efficiently calculate the set of
  all (hash values of) passwords passing the given tests.


 3. The attack


  We now give a brief description of the attack we propose. This
  description shall enable readers to verify our assertion that the
  MySQL authentication scheme leaks information. This attack has been
  implemented on Squeak Smalltalk and is now perfectly running. A
  complete description of the attack-algorithm lies beyond the scope
  of this text and will be the matter of future work.

  The attack we designed is mainly divided into two stages. In these
  two stages we respectively use one of our two algorithmic tools:

  Procedure 1 is an algorithmic process which has as input a
  checksum S and the corresponding hash value of the challenge
  C1||C2, and outputs a set consisting of all the pairs X,Y mapping
  through the random generator to the checksum S, i.e. in symbols
  {(X,Y): f(X,Y)=S} (here of course we have 0 <=X,Y< 2^{32}).

  In our attack Procedure 1 is used to cut down the number of
  possible hashed passwords from the brute-force value 2^64 to a much
  smaller cardinality of 2^20. This set is highly efficiently
  described, e.g.  less than 1Kb memory.  For this smaller set, it is
  feasible to eliminate the invalid (hashed) passwords using further
  challenges and responses by our Procedure 2.

  Procedure 2 is an algorithmic process having as input a set SET of
  possible (hashed) passwords, and a new pair (S,C1||C2) of checksum
  and challenge, and producing as output the subset of SET of all the
  passwords passing this new test.

  The way in which Procedure 2 is used in our algorithm should now be
  clear. We first use Procedure 1 to reduce the set of passwords to
  the announced set consisting of 2^{20} points, using as input only
  two challenge and responses for the same user.  This set contains
  all the passwords passing this two tests. Suppose now that the
  attacker has in his possession a new pair (S,C1||C2) of challenge
  and response, then he can use Procedure 2 to produce the smaller
  set of all the passwords passing the first three tests (the ones
  corresponding to the three pairs of challenge and response he has
  used). Notice that this process can be repeated for every new pair
  of challenge and response the attacker gets. With each application
  of this process the set of possible passwords becomes smaller.
  Furthermore, the cardinality of these sets is not only decresing
  but eventually becomes 1. In that case the one element remaining is
  the (hashed) password.


 4. Statistics and Conclusions

  In the examples we tested, about 300 possible passwords were left
  with the use of only 10 pairs of challenge and response. Notice
  that in a plain brute-force attack about
  2^{64}-300=18,446,744,073,709,551,316 would remain as possible
  passwords. It took about 100 pairs of challenge and response to cut
  the 300 set two a set containing two possible passwords (i.e., a
  fake password and the password indeed).  Finally it took about 300
  pairs of challenge and response to get the password.

  We therefore are able to make a variety of attacks depending on the
  amount of pairs of challenge and response we get from the user we
  want to impersonate.  The two extreme cases being very few pairs of
  challenge and response from the same user, and a lot of pairs of
  challenge and response. The second attack, that of many pairs of
  challenge and response captured, is straight-forward: Apply the
  algorithm described above until the password is found.  The first
  case, that of only a few pairs of challenge and response captured,
  is as well easy to carry out: simply apply the algorithm we
  described with all the pairs of challenge and response captured,
  then use any possible password in the set produced by the
  application of the algorithm for authenticating yourself as a user
  (some of these fake passwords will still pass many tests!).


DISCLAIMER:

  The contents of this advisory are copyright (c) 2000 CORE SDI S.A.
  and may be distributed freely provided that no fee is charged for
  this distribution and proper credit is given.

$Id: MySQLauth-advisory.txt,v 1.11 2000/10/23 21:30:57 iarce Exp $

---

"Understanding. A cerebral secretion that enables one having it to know
 a house from a horse by the roof on the house,
 It's nature and laws have been exhaustively expounded by Locke,
 who rode a house, and Kant, who lived in a horse." - Ambrose Bierce


==================[ CORE Seguridad de la Informacion S.A. ]=========
Iván Arce
Presidente
PGP Fingerprint: C7A8 ED85 8D7B 9ADC 6836  B25D 207B E78E 2AD1 F65A
email   : iarce@core-sdi.com
http://www.core-sdi.com
Florida 141 2do cuerpo Piso 7
C1005AAG Buenos Aires, Argentina.
Tel/Fax : +(54-11) 4331-5402
=====================================================================


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