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+Tech Note 0002
+How to avoid non-intrusive timing attacks with online computations
+Tom St Denis
+
+Introduction
+------------
+
+A timing attack is when an attacker can observe a side channel of the device (in this case time). In this tech note
+we consider only non-intrusive timing attacks with respect to online computations. That is an attacker can
+determine when a computation (such as a public key encryption) begins and ends but cannot observe the device
+directly. This is specifically important for applications which transmit data via a public network.
+
+Consider a Diffie-Hellman encryption which requires the sender to make up a public key "y = g^x mod p". Libtomcrypt
+uses the MPI bignum library to perform the operation. The time it takes to compute y is controlled by the number
+of 1 bits in the exponent 'x'. To a large extent there will be the same number of squaring operations. "1" bits in
+the exponent require the sender to perform a multiplication. This means to a certain extent an attacker can
+determine not only the magnitude of 'x' but the number of one bits. With this information the attacker cannot directly
+learn the key used. However, good cryptography mandates the close scrutiny of any practical side channel.
+
+Similar logic applies to the other various routines. Fortunately for this case there is a simple solution. First,
+determine the maximum time the particular operation can require. For instance, on an Athlon 1.53Ghz XP processor a
+DH-768 encryption requires roughly 50 milliseconds. Take that time and round it up. Now place a delay after the call.
+
+For example,
+
+void demo(void) {
+ clock_t t1;
+
+ // get initial clock
+ t1 = clock();
+
+ // some PK function
+
+ // now delay
+ while (clock() < (t1 + 100));
+
+ // transmit data...
+
+}
+
+This code has the effect of taking at least 100 ms always. In effect someone analyzing the traffic will see that the
+operations always take a fixed amount of time. Since no two platforms are the same this type of fix has not been
+incorporated into libtomcrypt (nor is it desired for many platforms). This requires on the developers part to profile
+the code to determine the delays required.
+
+Note that this "quick" fix has no effect against an intrusive attacker. For example, power consumption will drop
+significantly in the loop after the operation. However, this type of fix is more important to secure the user of the
+application/device. For example, a user placing an order online won't try to cheat themselves by cracking open their
+device and performing side-channel cryptanalysis. An attacker over a network might try to use the timing information
+against the user.
+
+