php - Could a random sleep prevent timing attacks?

Question

From Wikipedia

In cryptography, a timing attack is a side channel attack in which the attacker attempts to compromise a cryptosystem by analyzing the time taken to execute cryptographic algorithms.

Actually, to prevent timing attacks, I'm using the following function taken from this answer:

function timingSafeCompare($safe, $user) {
    // Prevent issues if string length is 0
    $safe .= chr(0);
    $user .= chr(0);

    $safeLen = strlen($safe);
    $userLen = strlen($user);

    // Set the result to the difference between the lengths
    $result = $safeLen - $userLen;

    // Note that we ALWAYS iterate over the user-supplied length
    // This is to prevent leaking length information
    for ($i = 0; $i < $userLen; $i++) {
        // Using % here is a trick to prevent notices
        // It's safe, since if the lengths are different
        // $result is already non-0
        $result |= (ord($safe[$i % $safeLen]) ^ ord($user[$i]));
    }

    // They are only identical strings if $result is exactly 0...
    return $result === 0;
}

But I was thinking if is possible prevent this kind of attack using a random sleep like

function timingSafeCompare($a,$b) {
    sleep(rand(0,100));
    if ($a === $b) {
        return true;
    } else {
        return false;
    }
}

Or maybe augmenting the randomness of sleep

sleep(rand(1,10)+rand(1,10)+rand(1,10)+rand(1,10));

This kind of approach can totally prevent timing attacks? Or just make the work harder?

Answer 1

This kind of approach can totally prevent timing attacks? Or just make the work harder?

Neither. It doesn't prevent timing attacks, nor does it make them any more difficult at all.

To understand why, look at the docs for sleep. Specifically, the meaning of the first parameter:

Halt time in seconds.

So your app takes 0.3 seconds to respond without sleep. With sleep it takes either 0.3, 1.3, 2.3, etc...

So really, to get the part we care about (the timing difference), we just need to chop off the integer part:

$real_time = $time - floor($time);

But let's go a step further. Let's say that you randomly sleep using usleep. That's a lot more granular. That's sleeping in microseconds.

Well, the measurements are being made in the 15-50 nanosecond scale. So that sleep is still about 100 times less granular than the measurements being made. So we can average off to the single microsecond:

$microseconds = $time * 1000000;
$real_microseconds = $microseconds - floor($microseconds);

And still have meaningful data.

You could go further and use time_nanosleep which can sleep to nanosecond scale precision.

Then you could start fuddling with the numbers.

But the data is still there. The beauty of randomness is that you can just average it out:

$x = 15 + rand(1, 10000);

Run that enough times and you'll get a nice pretty graph. You'll tell that there are about 10000 different numbers, so you can then average away the randomness and deduce the "private" 15.

Because well-behaved randomness is unbiased, it's pretty easy to detect statistically over a large enough sample.

So the question I would ask is:

Why bother with sleep-like hacks when you can fix the problem correctly?