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Date:   Thu, 30 Jan 2020 13:55:30 +0000
From:   Ttttabcd <ttttabcd@...tonmail.com>
To:     Netdev <netdev@...r.kernel.org>
Cc:     Eric Dumazet <edumazet@...gle.com>,
        David Miller <davem@...emloft.net>,
        "kuznet@....inr.ac.ru" <kuznet@....inr.ac.ru>,
        "yoshfuji@...ux-ipv6.org" <yoshfuji@...ux-ipv6.org>
Subject: [RFC] tcp: syncookies: Interesting serious errors when generating and verification cookies

Following are the two core functions of current syncookies calculation generating and verification.

static __u32 secure_tcp_syn_cookie(__be32 saddr, __be32 daddr, __be16 sport,
				   __be16 dport, __u32 sseq, __u32 data)
{
	/*
	 * Compute the secure sequence number.
	 * The output should be:
	 *   HASH(sec1,saddr,sport,daddr,dport,sec1) + sseq + (count * 2^24)
	 *      + (HASH(sec2,saddr,sport,daddr,dport,count,sec2) % 2^24).
	 * Where sseq is their sequence number and count increases every
	 * minute by 1.
	 * As an extra hack, we add a small "data" value that encodes the
	 * MSS into the second hash value.
	 */
	u32 count = tcp_cookie_time();
	return (cookie_hash(saddr, daddr, sport, dport, 0, 0) +
		sseq + (count << COOKIEBITS) +
		((cookie_hash(saddr, daddr, sport, dport, count, 1) + data)
		 & COOKIEMASK));
}

static __u32 check_tcp_syn_cookie(__u32 cookie, __be32 saddr, __be32 daddr,
				  __be16 sport, __be16 dport, __u32 sseq)
{
	u32 diff, count = tcp_cookie_time();

	/* Strip away the layers from the cookie */
	cookie -= cookie_hash(saddr, daddr, sport, dport, 0, 0) + sseq;

	/* Cookie is now reduced to (count * 2^24) ^ (hash % 2^24) */
	diff = (count - (cookie >> COOKIEBITS)) & ((__u32) -1 >> COOKIEBITS);
	if (diff >= MAX_SYNCOOKIE_AGE)
		return (__u32)-1;

	return (cookie -
		cookie_hash(saddr, daddr, sport, dport, count - diff, 1))
		& COOKIEMASK;	/* Leaving the data behind */
}

Can you find the problem?

Generate formula is:

cookie = HASH(sec1,saddr,sport,daddr,dport,sec1) + sseq + (count * 2^24)
             + ((HASH(sec2,saddr,sport,daddr,dport,count,sec2) + data) % 2^24)

Verification formula is:

data = (cookie - HASH(sec1,saddr,sport,daddr,dport,sec1) - sseq - HASH(sec2,saddr,sport,daddr,dport,count,sec2)) % 2^24

I don't know if the final & is a modulo or an AND operation, but the result is the same.

Now, I think anyone will understand that the above calculation is wrong.

---------------------------------------------------------------

We know that the last % 2^24 is to remove the upper 8 bits of counte * 2^24.

If we do not perform the final modulo, then the formula is:

(count * 2^24) + data = cookie - HASH(sec1,saddr,sport,daddr,dport,sec1) - sseq - HASH(sec2,saddr,sport,daddr,dport,count,sec2)

The conversion into a generating formula is:

cookie = HASH(sec1,saddr,sport,daddr,dport,sec1) + sseq + (count * 2^24) + HASH(sec2,saddr,sport,daddr,dport,count,sec2) + data

Compared with the real generation formula:

cookie = HASH(sec1,saddr,sport,daddr,dport,sec1) + sseq + (count * 2^24) + ((HASH(sec2,saddr,sport,daddr,dport,count,sec2) + data) % 2^24)

These two formulas are completely different!

So the final calculated (count * 2^24) + data is absolutely wrong.

The correct verification calculation should be:

data = (cookie - HASH(sec1,saddr,sport,daddr,dport,sec1) - sseq - (HASH(sec2,saddr,sport,daddr,dport,count,sec2) % 2^24)) % 2^24

------------------------------------------------------------------

The most interesting place came, the result of the final data turned out to be correct.

((count * 2^24) + data) % 2^24 is correct!

Why?

correct verification calculation:

data = (cookie - HASH(sec1,saddr,sport,daddr,dport,sec1) - sseq - (HASH(sec2,saddr,sport,daddr,dport,count,sec2) % 2^24)) % 2^24

current verification formula:

data = (cookie - HASH(sec1,saddr,sport,daddr,dport,sec1) - sseq - HASH(sec2,saddr,sport,daddr,dport,count,sec2)) % 2^24

What do you find in comparison? The difference is that before subtracting HASH(sec2, saddr, sport, daddr, dport, count, sec2) we have to take the modulus first.

We know that modulo a % 2^n is equivalent to a & (2^n - 1). So the correct calculation is to subtract the lower 24 bits of HASH2. The current practice is to subtract the entire 32 bits of HASH2.

The error is only in the high bit and has no effect on the low bit.

data is in low bit!

Amazing coincidence reached the right result with the wrong implementation.

Therefore, this wrong implementation has been used for many years without any problems.

-------------------------------------------------------------------------

In the end I raised this RFC to ask, should we fix this implementation?

-------------------------------------------------------------------------

Maybe what I said above is a bit difficult to understand. I drew some pictures to help you understand.

Define HASH(sec1,saddr,sport,daddr,dport,sec1) as HASH1.

Define HASH(sec2,saddr,sport,daddr,dport,count,sec2) as HASH2.

HASH2 + data is expressed as:
+----------------------------------------------+
|                 32 bit HASH2                 |
+----------------------------------------------+
                                        add
                                  +------------+
                                  | 2 bit data |
                                  +------------+
                      result
+----------------------------------------------+
|                                              |
|                 32 bit HASH2       +---------+
|                                    |  data   |
+------------------------------------+---------+

The process of generating cookies can be expressed as:
+----------------------------------------------+
|                 32 bit HASH1                 |
+----------------------------------------------+
                      add
+----------------------------------------------+
|                 32 bit sseq                  |
+----------------------------------------------+
      add
+-------------+
| 8 bit count |
+-------------+               add
               +-------------------------------+
               |                               |
               |    low 24 bit HASH2 +---------+
               |                     |  data   |
               +---------------------+---------+
                  result
+----------------------------------------------+
|                 32 bit cookie                |
+----------------------------------------------+

The process of restoring data can be expressed as:
+----------------------------------------------+
|                 32 bit cookie                |
+----------------------------------------------+
                   subtract
+----------------------------------------------+
|                 32 bit HASH1                 |
+----------------------------------------------+
                   subtract
+----------------------------------------------+
|                 32 bit sseq                  |
+----------------------------------------------+
                    result
+-------------+--------------------------------+
|             |                                |
| 8 bit count |    low 24 bit HASH2  +---------+
|             |                      |  data   |
+-------------+----------------------+---------+

What to do next?

The correct calculation is:
+-------------+--------------------------------+
|             |                                |
| 8 bit count |    low 24 bit HASH2  +---------+
|             |                      |  data   |
+-------------+----------------------+---------+
                            subtract
              +--------------------------------+
              |        low 24bit HASH2         |
              +--------------------------------+
                    result
+-------------+----------------------+---------+
| 8 bit count |                      |  data   |
+-------------+----------------------+---------+
             Reserved lower 24 bits
              +----------------------+---------+
              |                      |  data   |
              +----------------------+---------+

The current calculation is:
+-------------+--------------------------------+
|             |                                |
| 8 bit count |    low 24 bit HASH2  +---------+
|             |                      |  data   |
+-------------+----------------------+---------+
                    subtract
+-------------+--------------------------------+
| high 8 bit  |           low 24 bit           |
|    HASH2    |              HASH2             |
+-------------+--------------------------------++
                     result
+-------------+----------------------+---------+
|    wrong    |                      | correct |
| 8 bit count |                      |  data   |
+-------------+----------------------+---------+
             Reserved lower 24 bits
              +----------------------+---------+
              |                      |  data   |
              +----------------------+---------+

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