I have now confirmed that the issue with the ping/iputils is due to the 64bit 
version of the Ubuntu (the same fault appears as well in the 64bit version of 
OpenSUSE).

TEST in 32bit;

$:/# ping -V
ping utility, iputils-sss20101006
$:/# uname -a
Linux ueserver2 3.2.0-23-generic-pae #36-Ubuntu SMP Tue Apr 10 22:19:09 UTC 
2012 i686 i686 i386 GNU/Linux
$:/# lsb_release -a
No LSB modules are available.
Distributor ID: Ubuntu
Description:    Ubuntu 12.04 LTS
Release:        12.04
Codename:       precise
$:/# ping localhost -c 1 -s 8
PING localhost (127.0.0.1) 8(36) bytes of data.
16 bytes from localhost (127.0.0.1): icmp_req=1 ttl=64 time=0.024 ms

--- localhost ping statistics ---
1 packets transmitted, 1 received, 0% packet loss, time 0ms
rtt min/avg/max/mdev = 0.024/0.024/0.024/0.000 ms
$:/#

The packet size is 8 bytes and the time is properly printed out
(time=0.024 ms).

TEST in 64bit;

$:/# ping -V
ping utility, iputils-sss20101006
$:/# uname -a
Linux uetest 3.2.0-23-generic #36-Ubuntu SMP Tue Apr 10 20:39:51 UTC 2012 
x86_64 x86_64 x86_64 GNU/Linux
$:/# lsb_release -a
No LSB modules are available.
Distributor ID: Ubuntu
Description:    Ubuntu 12.04 LTS
Release:        12.04
Codename:       precise
$:/# ping localhost -c 1 -s 8
PING localhost (127.0.0.1) 8(36) bytes of data.
16 bytes from localhost (127.0.0.1): icmp_req=1 ttl=64

--- localhost ping statistics ---
1 packets transmitted, 1 received, 0% packet loss, time 0ms

$:/#

Same ping arguments but no time stamp.

The only difference is the 32bit versus 64bit, for some reason the 8
byte is not enough for the 64 bit version to get the time stamp (would
it need 16 bytes??).

Below is ping with packet size 16 bytes (RTT Time OK) and 15 bytes (RTT
Time missing).

$:/# ping localhost -c 1 -s 16
PING localhost (127.0.0.1) 16(44) bytes of data.
24 bytes from localhost (127.0.0.1): icmp_req=1 ttl=64 time=0.025 ms

--- localhost ping statistics ---
1 packets transmitted, 1 received, 0% packet loss, time 0ms
rtt min/avg/max/mdev = 0.025/0.025/0.025/0.000 ms

$:/# ping localhost -c 1 -s 15
PING localhost (127.0.0.1) 15(43) bytes of data.
23 bytes from localhost (127.0.0.1): icmp_req=1 ttl=64

--- localhost ping statistics ---
1 packets transmitted, 1 received, 0% packet loss, time 0ms

$:/#

Workaround is to have 32bit installed if the ping RTT value is needed
for packet size smaller than 16 bytes.


** Description changed:

+ 
+ Update, 2012-06-11, Please see my updated description in the comment #1.
+ 
  Issue with showing the round trip time in ping, it seems that for some
  reason the roundtrip time is not visible when the packet size is smaller
  than 16 bytes, still there should be all space needed to keep the time
  information in the packet.
  
  Accordingt to the man page (ubuntu);
  
  "If the data space is at least eight bytes large, ping uses the first
  eight bytes of this space to include a timestamp which it uses in the
  computation of round trip times.  If less than eight bytes of pad are
  specified, no round trip times are given."
  
  Below ping with 12 bytes packet size and 16 bytes packet size, with 12
  bytes there is no roundtrip time printed out, but with the 16 bytes
  packet there is.
  
  # ping 137.58.205.245 -s 12
  PING 137.58.205.245 (137.58.205.245) 12(40) bytes of data.
  20 bytes from 137.58.205.245: icmp_req=1 ttl=64
  20 bytes from 137.58.205.245: icmp_req=2 ttl=64
  ^C
  --- 137.58.205.245 ping statistics ---
  5 packets transmitted, 5 received, 0% packet loss, time 3996ms
  
  # ping 137.58.205.245 -s 16
  PING 137.58.205.245 (137.58.205.245) 16(44) bytes of data.
  24 bytes from 137.58.205.245: icmp_req=1 ttl=64 time=0.139 ms
  24 bytes from 137.58.205.245: icmp_req=2 ttl=64 time=0.120 ms
  ^C
  --- 137.58.205.245 ping statistics ---
  5 packets transmitted, 5 received, 0% packet loss, time 3996ms
  rtt min/avg/max/mdev = 0.119/0.123/0.139/0.012 ms
  root@uetest:~#
  
  System and Ping information
  
  # ping -V
  ping utility, iputils-sss20101006
  # uname -a
  Linux uetest 3.2.0-23-generic #36-Ubuntu SMP Tue Apr 10 20:39:51 UTC 2012 
x86_64 x86_64 x86_64 GNU/Linux
  # lsb_release -a
  No LSB modules are available.
  Distributor ID:       Ubuntu
  Description:  Ubuntu 12.04 LTS
  Release:      12.04
  Codename:     precise
  #
  
  When checking the data with wireshark
  
  12 Byte PING :
  
  Internet Control Message Protocol
      Type: 0 (Echo (ping) reply)
      Code: 0
      Checksum: 0xcc5a [correct]
      Identifier (BE): 5504 (0x1580)
      Identifier (LE): 32789 (0x8015)
      Sequence number (BE): 1 (0x0001)
      Sequence number (LE): 256 (0x0100)
      [Response To: 1035]
      [Response Time: 0,131 ms]
      Data (12 bytes)
  
  0000  00 01 02 03 04 05 06 07 08 09 0a 0b               ............
          Data: 000102030405060708090a0b
          [Length: 12]
  
  16 Byte PING :
  
  Internet Control Message Protocol
      Type: 0 (Echo (ping) reply)
      Code: 0
      Checksum: 0x3bd6 [correct]
      Identifier (BE): 5506 (0x1582)
      Identifier (LE): 33301 (0x8215)
      Sequence number (BE): 1 (0x0001)
      Sequence number (LE): 256 (0x0100)
      [Response To: 2266]
      [Response Time: 0,112 ms]
      Data (16 bytes)
  
  0000  83 2c bf 4f 00 00 00 00 6a 2a 02 00 00 00 00 00   .,.O....j*......
          Data: 832cbf4f000000006a2a020000000000
          [Length: 16]
  
  As can be seen here is, that the roundtrip time exists in both cases,
  but for some reason the PING application in Ubuntu will not show it.
  
  To compare with OpenSUSE distribution with an different version of ping,
  here we can see that the ping version is older, as well that we get
  roundtrip time when the packet size is 12 and 8 bytes, with 6 bytes we
  have no roundtrip time anymore.
  
  $ ping www.ubuntu.com -s 12
  PING www.ubuntu.com (91.189.90.41) 12(40) bytes of data.
  20 bytes from jujube.canonical.com (91.189.90.41): icmp_seq=1 ttl=38 
time=38.8 ms
  20 bytes from jujube.canonical.com (91.189.90.41): icmp_seq=2 ttl=38 
time=36.8 ms
  ^C
  --- www.ubuntu.com ping statistics ---
  2 packets transmitted, 2 received, 0% packet loss, time 1001ms
  rtt min/avg/max/mdev = 36.821/37.837/38.853/1.016 ms
  $ ping www.ubuntu.com -s 8
  PING www.ubuntu.com (91.189.90.41) 8(36) bytes of data.
  16 bytes from jujube.canonical.com (91.189.90.41): icmp_seq=1 ttl=38 
time=35.7 ms
  16 bytes from jujube.canonical.com (91.189.90.41): icmp_seq=2 ttl=38 
time=36.3 ms
  ^C
  --- www.ubuntu.com ping statistics ---
  2 packets transmitted, 2 received, 0% packet loss, time 1001ms
  rtt min/avg/max/mdev = 35.772/36.046/36.320/0.274 ms
  $ ping www.ubuntu.com -s 6
  PING www.ubuntu.com (91.189.90.41) 6(34) bytes of data.
  14 bytes from jujube.canonical.com (91.189.90.41): icmp_seq=1 ttl=38
  14 bytes from jujube.canonical.com (91.189.90.41): icmp_seq=2 ttl=38
  ^C
  --- www.ubuntu.com ping statistics ---
  2 packets transmitted, 2 received, 0% packet loss, time 1001ms
  
  $ ping -V
  ping utility, iputils-ss021109
  $ uname -a
  Linux ws7041 2.6.32.29-0.3-pae #1 SMP 2011-02-25 13:36:59 +0100 i686 i686 
i386 GNU/Linux
  $ lsb_release -a
  LSB Version:  
core-2.0-noarch:core-3.2-noarch:core-4.0-noarch:core-2.0-ia32:core-3.2-ia32:core-4.0-ia32:desktop-4.0-ia32:desktop-4.0-noarch:graphics-2.0-ia32:graphics-2.0-noarch:graphics-3.2-ia32:graphics-3.2-noarch:graphics-4.0-ia32:graphics-4.0-noarch
  Distributor ID:       SUSE LINUX
  Description:  SUSE Linux Enterprise Desktop 11 (i586)
  Release:      11
  Codename:     n/a
  $

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https://bugs.launchpad.net/bugs/1004350

Title:
  Ping does not show roundtrip time (64bit issue)

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