This is a temporary work-around for an integration issue.
A future task will re-integrate randomness into these functions are their
entire point is to be randomized; this is really just temporary.
This avoids the need for each calling site to manually regularize the scalar
and randomize coordinates, which makes for simpler safe use and saves 50 bytes
of code size in the library.
Even though this is type name is purely internal to a single C file, let's
reduce the potential for clashes with other wait state types which might be
added elsewhere in the library and become visible here (for example through
platform_util.h).
Previous size was 3584 bytes which is not acceptable on constrained systems
(especially on the stack). This was a misguided attempt at minimizing the
number of calls to the RNG function in order to minimize impact on
performance, but clearly this does not justify using that much RAM and a
compromise had to be found.
While at it, loose the 'curve' argument in internal randomized functions, for
the same reasons we lost 'num_words' in uECC_vli_mult_rnd(): we only have one
curve so we don't need this, and hardcoding it saves a bit of code size and
speed, which is welcome to slightly reduce the impact of the counter-measure
on both of them.
This is a counter-measure to make horizontal attacks harder. Horizontal
attacks work with a single trace by noticing when intermediate computations
within that trace happen on the same operands.
We'll try to make that harder for an attacker to achieve that by introducing
random delays based on extra computation and extra random accesses to input in
the multi-precision multiplication (which is the dominant operation and the target of
horizontal attacks known so far). This should make it hard for the attacker to
compare two multiplications.
This first commit introduces the new function for multiplication with random
delay - future commits will ensure it is used all the way up to the top-level
scalar multiplication routine.
Why: this protects against potential side-channels attacks. This
counter-measure is for example effective against Template SPA. Also, the
bignum arithmetic as implemented in TinyCrypt isn't entirely regular, which
could in principle be exploited by an attacker; randomizing the coordinates
makes this less likely to happen.
Randomizing projective coordinates is also a well-known countermeasure to DPA.
In the context of the scalar multiplication in ECDSA, DPA isn't a concern
since it requires multiple measurements with various base points and the same
scalar, and the scalar mult in ECDSA is the opposite: the base point's always
the same and the scalar is always unique. But we want protection against the
other attacks as well.
How: we use the same code fragment as in uECC_shared_secret in ecc_dh.c,
adapted as follows: (1) replace p2 with k2 as that's how it's called in this
function; (2) adjust how errors are handled.
The code might not be immediately clear so here are a few more details:
regularize_k() takes two arrays as outputs, and the return value says which one
should be passed to ECCPoint_mult(). The other one is free for us to re-use to
generate a random number to be used as the initial Z value for randomizing
coordinates (otherwise the initial Z value is 1), thus avoiding the use of an
extra stack buffer.
The certificate has a corrupted public key and signature.
Generating it through Makefile isn't trivial and since it is
a corrupted certificate, that shouldn't be accepted, there
shouldn't be a need to generate it again anyway.
