def full_sieve_kernel(arg0, params=None, seed=None):
# Pool.map only supports a single parameter
if params is None and seed is None:
n, params, seed = arg0
else:
n = arg0
pump_params = pop_prefixed_params("pump", params)
workout_params = pop_prefixed_params("workout", params)
verbose = params.pop("verbose")
load_matrix = params.pop("load_matrix")
pre_bkz = params.pop("pre_bkz")
trace = params.pop("trace")
reserved_n = n
params = params.new(reserved_n=reserved_n, otf_lift=False)
if load_matrix is None:
A, bkz = load_svpchallenge_and_randomize(n, s=0, seed=seed)
if verbose:
print("Loaded challenge dim %d" % n)
if pre_bkz is not None:
par = BKZ_FPYLLL.Param(pre_bkz,
strategies=BKZ_FPYLLL.DEFAULT_STRATEGY,
max_loops=1)
bkz(par)
else:
A, _ = load_matrix_file(load_matrix, doLLL=False, high_prec=False)
if verbose:
print("Loaded file '%s'" % load_matrix)
g6k = Siever(A, params, seed=seed)
if trace:
tracer = SieveTreeTracer(g6k,
root_label=("full-sieve", n),
start_clocks=True)
else:
tracer = dummy_tracer
# Actually runs a workout with very large decrements, so that the basis is kind-of reduced
# for the final full-sieve
workout(g6k,
tracer,
0,
n,
dim4free_min=0,
dim4free_dec=15,
pump_params=pump_params,
verbose=verbose,
**workout_params)
g6k.output_bench()
tracer.exit()
if hasattr(tracer, "trace"):
return tracer.trace
else:
return None
def hkz_kernel(arg0, params=None, seed=None):
# Pool.map only supports a single parameter
if params is None and seed is None:
n, params, seed = arg0
else:
n = arg0
reserved_n = n
params = params.new(reserved_n=reserved_n, otf_lift=False)
verbose = params.pop("verbose")
pump_params = pop_prefixed_params("pump", params)
workout_params = pop_prefixed_params("workout", params)
verbose = params.pop("verbose")
if verbose:
workout_params["verbose"] = True
challenge_seed = params.pop("challenge_seed")
A, _ = load_svpchallenge_and_randomize(n, s=challenge_seed, seed=seed)
g6k = Siever(A, params, seed=seed)
tracer = SieveTreeTracer(g6k, root_label=("hkz", n), start_clocks=True)
# runs a workout woth pump-down down until the end
workout(g6k, tracer, 0, n, pump_params=pump_params, verbose=verbose, **workout_params)
#Just making sure
pump(g6k, tracer, 15, n-15, 0, **pump_params)
g6k.lll(0, n)
return tracer.exit()
def asvp_kernel(arg0, params=None, seed=None):
logger = logging.getLogger('asvp')
# Pool.map only supports a single parameter
if params is None and seed is None:
n, params, seed = arg0
else:
n = arg0
params = copy.copy(params)
load_matrix = params.pop("load_matrix")
pump_params = pop_prefixed_params("pump", params)
workout_params = pop_prefixed_params("workout", params)
verbose = params.pop("verbose")
if verbose:
workout_params["verbose"] = True
challenge_seed = params.pop("challenge_seed")
if load_matrix is None:
A, _ = load_svpchallenge_and_randomize(n, s=challenge_seed, seed=seed)
if verbose:
print(("Loaded challenge dim %d" % n))
else:
A, _ = load_matrix_file(load_matrix)
if verbose:
print(("Loaded file '%s'" % load_matrix))
g6k = Siever(A, params, seed=seed)
tracer = SieveTreeTracer(g6k,
root_label=("svp-challenge", n),
start_clocks=True)
gh = gaussian_heuristic([g6k.M.get_r(i, i) for i in range(n)])
goal_r0 = (1.05**2) * gh
if verbose:
print(("gh = %f, goal_r0/gh = %f, r0/gh = %f" %
(gh, goal_r0 / gh, sum([x * x for x in A[0]]) / gh)))
flast = workout(g6k,
tracer,
0,
n,
goal_r0=goal_r0,
pump_params=pump_params,
**workout_params)
tracer.exit()
stat = tracer.trace
stat.data["flast"] = flast
if verbose:
logger.info("sol %d, %s" % (n, A[0]))
norm = sum([x * x for x in A[0]])
if verbose:
logger.info("norm %.1f ,hf %.5f" % (norm**.5, (norm / gh)**.5))
return tracer.trace
def svp_kernel(arg0, params=None, seed=None):
# Pool.map only supports a single parameter
if params is None and seed is None:
n, params, seed = arg0
else:
n = arg0
params = copy.copy(params)
challenge_seed = params.pop("challenge_seed")
alg = params.pop("svp/alg")
workout_params = pop_prefixed_params("workout/", params)
pump_params = pop_prefixed_params("pump/", params)
goal_r0 = 1.001 * load_svpchallenge_norm(n, s=challenge_seed)
A, bkz = load_svpchallenge_and_randomize(n, s=challenge_seed, seed=seed)
g6k = Siever(A, params, seed=seed)
tracer = SieveTreeTracer(g6k,
root_label=("svp-exact", n),
start_clocks=True)
if alg == "enum":
assert len(workout_params) + len(pump_params) == 0
bkz_params = fplll_bkz.Param(
block_size=n,
max_loops=1,
strategies=fplll_bkz.DEFAULT_STRATEGY,
flags=fplll_bkz.GH_BND,
)
svp_enum(bkz, bkz_params, goal_r0)
flast = 0
elif alg == "duc18":
assert len(workout_params) + len(pump_params) == 0
flast = ducas18(g6k, tracer, goal=goal_r0)
elif alg == "workout":
flast = workout(g6k,
tracer,
0,
n,
goal_r0=goal_r0,
pump_params=pump_params,
**workout_params)
else:
raise ValueError("Unrecognized algorithm for SVP")
r0 = bkz.M.get_r(0, 0) if alg == "enum" else g6k.M.get_r(0, 0)
if r0 > goal_r0:
raise ValueError("Did not reach the goal")
if 1.002 * r0 < goal_r0:
raise ValueError(
"Found a vector shorter than the goal for n=%d s=%d." %
(n, challenge_seed))
tracer.exit()
stat = tracer.trace
stat.data["flast"] = flast
return stat
def svp_kernel_trial(arg0, params=None, seed=None, goal_r0=None):
# Pool.map only supports a single parameter
if params is None and seed is None:
n, params, seed = arg0
else:
n = arg0
params = copy.copy(params)
dim4free_dec = params.pop("workout/dim4free_dec")
pump_params = pop_prefixed_params("pump", params)
challenge_seed = params.pop("challenge_seed")
A, _ = load_svpchallenge_and_randomize(n, s=challenge_seed, seed=seed)
g6k = Siever(A, params, seed=seed)
tracer = SieveTreeTracer(g6k,
root_label=("svp-challenge", n),
start_clocks=True)
gh = gaussian_heuristic([g6k.M.get_r(i, i) for i in range(n)])
ds = list(range(0, n - 40, dim4free_dec))[::-1] + 10 * [0]
if goal_r0 is None:
goal_r0 = 1.1 * gh
for d in ds:
workout(g6k,
tracer,
0,
n,
dim4free_dec=dim4free_dec,
goal_r0=goal_r0 * 1.001,
pump_params=pump_params)
tracer.exit()
return int(g6k.M.get_r(0, 0)), gh
def full_sieve_kernel(arg0, params=None, seed=None):
# Pool.map only supports a single parameter
if params is None and seed is None:
n, params, seed = arg0
else:
n = arg0
pump_params = pop_prefixed_params("pump", params)
verbose = params.pop("verbose")
reserved_n = n
params = params.new(reserved_n=reserved_n, otf_lift=False)
challenge_seed = params.pop("challenge_seed")
A, _ = load_svpchallenge_and_randomize(n, s=challenge_seed, seed=seed)
g6k = Siever(A, params, seed=seed)
tracer = SieveTreeTracer(g6k,
root_label=("full-sieve", n),
start_clocks=True)
# Actually runs a workout with very large decrements, so that the basis is kind-of reduced
# for the final full-sieve
workout(
g6k,
tracer,
0,
n,
dim4free_min=0,
dim4free_dec=15,
pump_params=pump_params,
verbose=verbose,
)
return tracer.exit()
def asvp_kernel(arg0, params=None, seed=None):
logger = logging.getLogger('asvp')
# Pool.map only supports a single parameter
if params is None and seed is None:
n, params, seed = arg0
else:
n = arg0
params = copy.copy(params)
load_matrix = params.pop("load_matrix")
pump_params = pop_prefixed_params("pump", params)
workout_params = pop_prefixed_params("workout", params)
verbose = params.pop("verbose")
if verbose:
workout_params["verbose"] = True
challenge_seed = params.pop("challenge_seed")
if load_matrix is None:
A, _ = load_svpchallenge_and_randomize(n, s=challenge_seed, seed=seed)
if verbose:
print("Loaded challenge dim %d" % n)
else:
A, _ = load_matrix_file(load_matrix)
if verbose:
print("Loaded file '%s'" % load_matrix)
g6k = Siever(A, params, seed=seed)
tracer = SieveTreeTracer(g6k, root_label=("svp-challenge", n), start_clocks=True)
gh = gaussian_heuristic([g6k.M.get_r(i, i) for i in range(n)])
flast = workout(g6k, tracer, 0, n, pump_params=pump_params, **workout_params)
tracer.exit()
stat = tracer.trace
f = workout_params["dim4free_min"]
gh2 = gaussian_heuristic([g6k.M.get_r(i, i) for i in range(f, n)])
quality = (gh * (n - f)) / (gh2 * n)
stat.data["quality"] = quality
print >> sys.stderr, g6k.M.B
return tracer.trace
def asvp_kernel(arg0, params=None, seed=None):
# Pool.map only supports a single parameter
if params is None and seed is None:
n, params, seed = arg0
else:
n = arg0
params = copy.copy(params)
load_matrix = params.pop("load_matrix")
goal_r0__gh = params.pop('goal_r0__gh')
pump_params = pop_prefixed_params("pump", params)
workout_params = pop_prefixed_params("workout", params)
verbose = params.pop("verbose")
if verbose:
workout_params["verbose"] = True
A, _ = load_matrix_file(load_matrix, randomize=False, seed=None, float_type="double")
if verbose:
print(("Loaded file '%s'" % load_matrix))
g6k = Siever(A, params, seed=seed)
tracer = SieveTreeTracer(g6k, root_label=("svp-challenge", n), start_clocks=True)
gh = gaussian_heuristic([g6k.M.get_r(i, i) for i in range(n)])
goal_r0 = (goal_r0__gh**2) * gh
if verbose:
print(("gh = %f, goal_r0/gh = %f, r0/gh = %f" % (gh, goal_r0/gh, sum([x*x for x in A[0]])/gh)))
flast = workout(g6k, tracer, 0, n, goal_r0=goal_r0, **workout_params)
tracer.exit()
stat = tracer.trace
sol = tuple(A[0])
stat.data["flast"] = flast
tracer.trace.data['res'] = A
if verbose:
print(f"svp: sol {sol}")
norm = sum([x*x for x in sol])
if verbose:
print("svp: norm %.1f ,hf %.5f" % (norm**.5, (norm/gh)**.5))
return tracer.trace
def find_norm_kernel_trial(arg0, params=None, seed=None, goal_r0=None):
# Pool.map only supports a single parameter
if params is None and seed is None:
n, params, seed = arg0
else:
n = arg0
params = copy.copy(params)
dim4free_dec = params.pop("workout/dim4free_dec")
pump_params = pop_prefixed_params("pump", params)
load_matrix = params.pop("load_matrix")
verbose = params.pop("verbose")
A, _ = load_matrix_file(load_matrix,
randomize=True,
seed=None,
float_type="double")
if A.nrows != n:
raise ValueError(
f"wrong dimension:: Expected dim(A) = {A.nrows}, got n = {n}")
g6k = Siever(A, params, seed=seed)
tracer = SieveTreeTracer(g6k,
root_label=("svp-challenge", n),
start_clocks=True)
gh = gaussian_heuristic([g6k.M.get_r(i, i) for i in range(n)])
ds = list(range(0, n - 40, dim4free_dec))[::-1] + 10 * [0]
if goal_r0 is None:
goal_r0 = 1.1 * gh
if verbose and n < 90:
verbose = False
for d in ds:
workout(g6k,
tracer,
0,
n,
dim4free_dec=dim4free_dec,
goal_r0=goal_r0 * 1.001,
pump_params=pump_params,
verbose=verbose)
tracer.exit()
return int(g6k.M.get_r(0, 0)), gh
def bkz_kernel(arg0, params=None, seed=None):
"""
Run the BKZ algorithm with different parameters.
:param d: the dimension of the lattices to BKZ reduce
:param params: parameters for BKZ:
- bkz/alg: choose the underlying BKZ from
{fpylll, naive, pump_n_jump, slide}
- bkz/blocksizes: given as low:high:inc perform BKZ reduction
with blocksizes in range(low, high, inc) (after some light)
prereduction
- bkz/pre_blocksize: prereduce lattice with fpylll BKZ up
to this blocksize
- bkz/tours: the number of tours to do for each blocksize
- bkz/extra_dim4free: lift to indices extra_dim4free earlier in
the lattice than the currently sieved block
- bkz/jump: the number of blocks to jump in a BKZ tour after
each pump
- bkz/dim4free_fun: in blocksize x, try f(x) dimensions for free,
give as 'lambda x: f(x)', e.g. 'lambda x: 11.5 + 0.075*x'
- pump/down_sieve: sieve after each insert in the pump-down
phase of the pump
- slide/overlap: shift of the dual blocks when running slide reduction
- challenge_seed: a seed to randomise the generated lattice
- dummy_tracer: use a dummy tracer which capture less information
- verbose: print tracer information throughout BKZ run
"""
# Pool.map only supports a single parameter
if params is None and seed is None:
d, params, seed = arg0
else:
d = arg0
# params for underlying BKZ/workout/pump
dim4free_fun = params.pop("bkz/dim4free_fun")
extra_dim4free = params.pop("bkz/extra_dim4free")
jump = params.pop("bkz/jump")
overlap = params.pop("slide/overlap")
pump_params = pop_prefixed_params("pump", params)
workout_params = pop_prefixed_params("workout", params)
# flow of the bkz experiment
algbkz = params.pop("bkz/alg")
blocksizes = params.pop("bkz/blocksizes")
blocksizes = eval("range(%s)" % re.sub(":", ",", blocksizes))
pre_blocksize = params.pop("bkz/pre_blocksize")
tours = params.pop("bkz/tours")
# misc
verbose = params.pop("verbose")
dont_trace = params.pop("dummy_tracer", False)
if blocksizes[-1] > d:
print('set a smaller maximum blocksize with --blocksizes')
return
challenge_seed = params.pop("challenge_seed")
A, bkz = load_prebkz(d, s=challenge_seed, blocksize=pre_blocksize)
MM = GSO.Mat(A,
float_type="double",
U=IntegerMatrix.identity(A.nrows, int_type=A.int_type),
UinvT=IntegerMatrix.identity(A.nrows, int_type=A.int_type))
g6k = Siever(MM, params, seed=seed)
if dont_trace:
tracer = dummy_tracer
else:
tracer = SieveTreeTracer(g6k, root_label=("bkz", d), start_clocks=True)
if algbkz == "fpylll":
M = bkz.M
else:
M = g6k.M
T0 = time.time()
for blocksize in blocksizes:
for t in range(tours):
with tracer.context("tour", t, dump_gso=True):
if algbkz == "fpylll":
par = BKZ_FPYLLL.Param(
blocksize,
strategies=BKZ_FPYLLL.DEFAULT_STRATEGY,
max_loops=1)
bkz(par)
elif algbkz == "naive":
naive_bkz_tour(g6k,
tracer,
blocksize,
extra_dim4free=extra_dim4free,
dim4free_fun=dim4free_fun,
workout_params=workout_params,
pump_params=pump_params)
elif algbkz == "pump_and_jump":
pump_n_jump_bkz_tour(g6k,
tracer,
blocksize,
jump=jump,
dim4free_fun=dim4free_fun,
extra_dim4free=extra_dim4free,
pump_params=pump_params)
elif algbkz == "slide":
slide_tour(g6k,
dummy_tracer,
blocksize,
overlap=overlap,
dim4free_fun=dim4free_fun,
extra_dim4free=extra_dim4free,
workout_params=workout_params,
pump_params=pump_params)
else:
raise ValueError("bkz/alg=%s not recognized." % algbkz)
if verbose:
slope = basis_quality(M)["/"]
fmt = "{'alg': '%25s', 'jump':%2d, 'pds':%d, 'extra_d4f': %2d, 'beta': %2d, 'slope': %.5f, 'total walltime': %.3f}" # noqa
print(fmt % (algbkz + "+" + ("enum" if algbkz == "fpylll" else
g6k.params.default_sieve), jump,
pump_params["down_sieve"], extra_dim4free,
blocksize, slope, time.time() - T0))
tracer.exit()
slope = basis_quality(M)["/"]
stat = tracer.trace
try:
stat.data["slope"] = np.array(slope)
return stat
except AttributeError:
return None
def asvp_kernel(arg0, params=None, seed=None):
logger = logging.getLogger('asvp')
# Pool.map only supports a single parameter
if params is None and seed is None:
n, params, seed = arg0
else:
n = arg0
params = copy.copy(params)
load_matrix = params.pop("load_matrix")
pre_bkz = params.pop("pre_bkz")
pump_params = pop_prefixed_params("pump", params)
workout_params = pop_prefixed_params("workout", params)
verbose = params.pop("verbose")
if verbose:
workout_params["verbose"] = True
challenge_seed = params.pop("challenge_seed")
high_prec = params.pop("high_prec")
trace = params.pop("trace")
if load_matrix is None:
A, bkz = load_svpchallenge_and_randomize(n,
s=challenge_seed,
seed=seed)
if verbose:
print("Loaded challenge dim %d" % n)
if pre_bkz is not None:
par = BKZ_FPYLLL.Param(pre_bkz,
strategies=BKZ_FPYLLL.DEFAULT_STRATEGY,
max_loops=1)
bkz(par)
else:
A, _ = load_matrix_file(load_matrix, doLLL=False, high_prec=high_prec)
if verbose:
print("Loaded file '%s'" % load_matrix)
g6k = Siever(A, params, seed=seed)
if trace:
tracer = SieveTreeTracer(g6k,
root_label=("svp-challenge", n),
start_clocks=True)
else:
tracer = dummy_tracer
gh = gaussian_heuristic([g6k.M.get_r(i, i) for i in range(n)])
gamma = params.pop("gamma")
if gamma is None:
goal_r0 = (1.05**2) * gh
else:
goal_r0 = gamma**2 * gh
if verbose:
print("gh = %f, goal_r0/gh = %f, r0/gh = %f" %
(gh, goal_r0 / gh, sum([x * x for x in A[0]]) / gh))
flast = workout(g6k,
tracer,
0,
n,
goal_r0=goal_r0,
pump_params=pump_params,
**workout_params)
if verbose:
logger.info("sol %d, %s" % (n, A[0]))
norm = sum([x * x for x in A[0]])
if verbose:
logger.info("norm %.1f ,hf %.5f" % (norm**.5, (norm / gh)**.5))
tracer.exit()
if hasattr(tracer, "trace"):
stat = tracer.trace
stat.data["flast"] = flast
return stat
else:
return None
def lwe_kernel(arg0, params=None, seed=None):
"""
Run the primal attack against Darmstadt LWE instance (n, alpha).
:param n: the dimension of the LWE-challenge secret
:param params: parameters for LWE:
- lwe/alpha: the noise rate of the LWE-challenge
- lwe/m: the number of samples to use for the primal attack
- lwe/goal_margin: accept anything that is
goal_margin * estimate(length of embedded vector)
as an lwe solution
- lwe/svp_bkz_time_factor: if > 0, run a larger pump when
svp_bkz_time_factor * time(BKZ tours so far) is expected
to be enough time to find a solution
- bkz/blocksizes: given as low:high:inc perform BKZ reduction
with blocksizes in range(low, high, inc) (after some light)
prereduction
- bkz/tours: the number of tours to do for each blocksize
- bkz/jump: the number of blocks to jump in a BKZ tour after
each pump
- bkz/extra_dim4free: lift to indices extra_dim4free earlier in
the lattice than the currently sieved block
- bkz/fpylll_crossover: use enumeration based BKZ from fpylll
below this blocksize
- bkz/dim4free_fun: in blocksize x, try f(x) dimensions for free,
give as 'lambda x: f(x)', e.g. 'lambda x: 11.5 + 0.075*x'
- pump/down_sieve: sieve after each insert in the pump-down
phase of the pump
- dummy_tracer: use a dummy tracer which captures less information
- verbose: print information throughout the lwe challenge attempt
"""
# Pool.map only supports a single parameter
if params is None and seed is None:
n, params, seed = arg0
else:
n = arg0
params = copy.copy(params)
# params for underlying BKZ
extra_dim4free = params.pop("bkz/extra_dim4free")
jump = params.pop("bkz/jump")
dim4free_fun = params.pop("bkz/dim4free_fun")
pump_params = pop_prefixed_params("pump", params)
fpylll_crossover = params.pop("bkz/fpylll_crossover")
blocksizes = params.pop("bkz/blocksizes")
tours = params.pop("bkz/tours")
# flow of the lwe solver
svp_bkz_time_factor = params.pop("lwe/svp_bkz_time_factor")
goal_margin = params.pop("lwe/goal_margin")
# generation of lwe instance and Kannan's embedding
alpha = params.pop("lwe/alpha")
m = params.pop("lwe/m")
decouple = svp_bkz_time_factor > 0
# misc
dont_trace = params.pop("dummy_tracer")
verbose = params.pop("verbose")
A, c, q = load_lwe_challenge(n=n, alpha=alpha)
print "-------------------------"
print "Primal attack, LWE challenge n=%d, alpha=%.4f" % (n, alpha)
if m is None:
try:
min_cost_param = gsa_params(n=A.ncols, alpha=alpha, q=q,
samples=A.nrows, decouple=decouple)
(b, s, m) = min_cost_param
except TypeError:
raise TypeError("No winning parameters.")
else:
try:
min_cost_param = gsa_params(n=A.ncols, alpha=alpha, q=q, samples=m,
decouple=decouple)
(b, s, _) = min_cost_param
except TypeError:
raise TypeError("No winning parameters.")
print "Chose %d samples. Predict solution at bkz-%d + svp-%d" % (m, b, s)
print
target_norm = goal_margin * (alpha*q)**2 * m + 1
if blocksizes is not None:
blocksizes = range(10, 40) + eval("range(%s)" % re.sub(":", ",", blocksizes)) # noqa
else:
blocksizes = range(10, 50) + [b-20, b-17] + range(b - 14, b + 25, 2)
B = primal_lattice_basis(A, c, q, m=m)
g6k = Siever(B, params)
print "GSO precision: ", g6k.M.float_type
if dont_trace:
tracer = dummy_tracer
else:
tracer = SieveTreeTracer(g6k, root_label=("lwe"), start_clocks=True)
d = g6k.full_n
g6k.lll(0, g6k.full_n)
slope = basis_quality(g6k.M)["/"]
print "Intial Slope = %.5f\n" % slope
T0 = time.time()
T0_BKZ = time.time()
for blocksize in blocksizes:
for tt in range(tours):
# BKZ tours
if blocksize < fpylll_crossover:
if verbose:
print "Starting a fpylll BKZ-%d tour. " % (blocksize),
sys.stdout.flush()
bkz = BKZReduction(g6k.M)
par = fplll_bkz.Param(blocksize,
strategies=fplll_bkz.DEFAULT_STRATEGY,
max_loops=1)
bkz(par)
else:
if verbose:
print "Starting a pnjBKZ-%d tour. " % (blocksize)
pump_n_jump_bkz_tour(g6k, tracer, blocksize, jump=jump,
verbose=verbose,
extra_dim4free=extra_dim4free,
dim4free_fun=dim4free_fun,
goal_r0=target_norm,
pump_params=pump_params)
T_BKZ = time.time() - T0_BKZ
if verbose:
slope = basis_quality(g6k.M)["/"]
fmt = "slope: %.5f, walltime: %.3f sec"
print fmt % (slope, time.time() - T0)
g6k.lll(0, g6k.full_n)
if g6k.M.get_r(0, 0) <= target_norm:
break
# overdoing n_max would allocate too much memory, so we are careful
svp_Tmax = svp_bkz_time_factor * T_BKZ
n_max = int(58 + 2.85 * log(svp_Tmax * params.threads)/log(2.))
rr = [g6k.M.get_r(i, i) for i in range(d)]
for n_expected in range(2, d-2):
x = (target_norm/goal_margin) * n_expected/(1.*d)
if 4./3 * gaussian_heuristic(rr[d-n_expected:]) > x:
break
print "Without otf, would expect solution at pump-%d. n_max=%d in the given time." % (n_expected, n_max) # noqa
if n_expected >= n_max - 1:
continue
n_max += 1
# Larger SVP
llb = d - blocksize
while gaussian_heuristic([g6k.M.get_r(i, i) for i in range(llb, d)]) < target_norm * (d - llb)/(1.*d): # noqa
llb -= 1
f = d-llb-n_max
if verbose:
print "Starting svp pump_{%d, %d, %d}, n_max = %d, Tmax= %.2f sec" % (llb, d-llb, f, n_max, svp_Tmax) # noqa
pump(g6k, tracer, llb, d-llb, f, verbose=verbose,
goal_r0=target_norm * (d - llb)/(1.*d))
if verbose:
slope = basis_quality(g6k.M)["/"]
fmt = "\n slope: %.5f, walltime: %.3f sec"
print fmt % (slope, time.time() - T0)
print
g6k.lll(0, g6k.full_n)
T0_BKZ = time.time()
if g6k.M.get_r(0, 0) <= target_norm:
break
if g6k.M.get_r(0, 0) <= target_norm:
print "Finished! TT=%.2f sec" % (time.time() - T0)
print g6k.M.B[0]
alpha_ = int(alpha*1000)
filename = 'lwechallenge/%03d-%03d-solution.txt' % (n, alpha_)
fn = open(filename, "w")
fn.write(str(g6k.M.B[0]))
fn.close()
return
raise ValueError("No solution found.")
def ntru_kernel(n, params):
# params for underlying BKZ
extra_dim4free = params.get("bkz/extra_dim4free")
jump = params.get("bkz/jump")
dim4free_fun = params.get("bkz/dim4free_fun")
pump_params = pop_prefixed_params("pump", params)
fpylll_crossover = params.get("bkz/fpylll_crossover")
blocksizes = params.get("bkz/blocksizes")
tours = params.get("bkz/tours")
print("params:", extra_dim4free, jump, dim4free_fun, pump_params,
fpylll_crossover, blocksizes, tours)
# flow of the lwe solver
svp_bkz_time_factor = params.get("lwe/svp_bkz_time_factor")
goal_margin = params.get("lwe/goal_margin")
# generation of lwe instance and Kannan's embedding
# misc
dont_trace = params.get("dummy_tracer")
verbose = params.get("verbose")
#
# Loading pregenerated LWE instance
#
A, b, s, e, q = read_lwe_from_file(n)
print("Hybrid attack on LWE n=%d" % n)
# compute the attack parameters
w = 2 * (n / 3.)
paramset_NTRU1 = {'n': n, 'q': q, 'w': w}
print('paramset_NTRU', paramset_NTRU1)
#
# Preprocessing
#
beta, g, rt, nsamples, GSA = plain_hybrid_complexity(paramset_NTRU1,
verbose=True)
print('beta, g, rt, nsamples predicted:', beta, g, rt, nsamples)
# if g is too small to help, recompute BKZ params
"""
if g <= 4:
g = 0
beta, nsamples,rt, GSA = find_beta(n, q, n)
"""
#force g = 6 for testing the hybrid
print(type(g))
if n < 50 or g == 0:
g = 6
g = 6
beta, nsamples, rt, GSA = find_beta(n, q, n)
print('beta, g, rt, nsamples:', beta, g, rt, nsamples)
# print('GSA predicted:')
# print([exp(GSA[i]) for i in range(len(GSA))])
return A, b, s, q, g, beta, nsamples
def ntru_kernel(arg0, params=None, seed=None):
"""
Run the primal attack against Darmstadt LWE instance (n, alpha).
:param n: the dimension of the LWE-challenge secret
:param params: parameters for LWE:
- lwe/alpha: the noise rate of the LWE-challenge
- lwe/m: the number of samples to use for the primal attack
- lwe/goal_margin: accept anything that is
goal_margin * estimate(length of embedded vector)
as an lwe solution
- lwe/svp_bkz_time_factor: if > 0, run a larger pump when
svp_bkz_time_factor * time(BKZ tours so far) is expected
to be enough time to find a solution
- bkz/blocksizes: given as low:high:inc perform BKZ reduction
with blocksizes in range(low, high, inc) (after some light)
prereduction
- bkz/tours: the number of tours to do for each blocksize
- bkz/jump: the number of blocks to jump in a BKZ tour after
each pump
- bkz/extra_dim4free: lift to indices extra_dim4free earlier in
the lattice than the currently sieved block
- bkz/fpylll_crossover: use enumeration based BKZ from fpylll
below this blocksize
- bkz/dim4free_fun: in blocksize x, try f(x) dimensions for free,
give as 'lambda x: f(x)', e.g. 'lambda x: 11.5 + 0.075*x'
- pump/down_sieve: sieve after each insert in the pump-down
phase of the pump
- dummy_tracer: use a dummy tracer which captures less information
- verbose: print information throughout the lwe challenge attempt
"""
# Pool.map only supports a single parameter
if params is None and seed is None:
n, params, seed = arg0
else:
n = arg0
params = copy.copy(params)
# params for underlying BKZ
extra_dim4free = params.pop("bkz/extra_dim4free")
jump = params.pop("bkz/jump")
dim4free_fun = params.pop("bkz/dim4free_fun")
pump_params = pop_prefixed_params("pump", params)
fpylll_crossover = params.pop("bkz/fpylll_crossover")
blocksizes = params.pop("bkz/blocksizes")
tours = params.pop("bkz/tours")
# flow of the lwe solver
svp_bkz_time_factor = params.pop("lwe/svp_bkz_time_factor")
goal_margin = params.pop("lwe/goal_margin")
# generation of lwe instance and Kannan's embedding
alpha = params.pop("lwe/alpha")
m = params.pop("lwe/m")
decouple = svp_bkz_time_factor > 0
# misc
dont_trace = params.pop("dummy_tracer")
verbose = params.pop("verbose")
filename = 'ntru_n_'+str(n)+'.txt'
H, q = read_ntru_from_file(filename)
print("-------------------------")
print("Hybrid attack on NTRU n=%d" %n)
# compute the attack parameters
paramset_NTRU1 = {'n': n, 'q': q, 'w': 2*(n/3)}
print(paramset_NTRU1)
beta, g, rt = plain_hybrid_compleixty(paramset_NTRU1, verbose = True)
B = ntru_plain_hybrid_basis(A, g, q, m=m)
g6k = Siever(B, params)
print("GSO precision: ", g6k.M.float_type)
if dont_trace:
tracer = dummy_tracer
else:
tracer = SieveTreeTracer(g6k, root_label=("ntru"), start_clocks=True)
d = g6k.full_n
g6k.lll(0, g6k.full_n)
slope = basis_quality(g6k.M)["/"]
print("Intial Slope = %.5f\n" % slope)
T0 = time.time()
T0_BKZ = time.time()
for blocksize in blocksizes:
for tt in range(tours):
# BKZ tours
if blocksize < fpylll_crossover:
if verbose:
print("Starting a fpylll BKZ-%d tour. " % (blocksize), end=' ')
sys.stdout.flush()
bkz = BKZReduction(g6k.M)
par = fplll_bkz.Param(blocksize,
strategies=fplll_bkz.DEFAULT_STRATEGY,
max_loops=1)
bkz(par)
else:
if verbose:
print("Starting a pnjBKZ-%d tour. " % (blocksize))
pump_n_jump_bkz_tour(g6k, tracer, blocksize, jump=jump,
verbose=verbose,
extra_dim4free=extra_dim4free,
dim4free_fun=dim4free_fun,
goal_r0=target_norm,
pump_params=pump_params)
T_BKZ = time.time() - T0_BKZ
if verbose:
slope = basis_quality(g6k.M)["/"]
fmt = "slope: %.5f, walltime: %.3f sec"
print(fmt % (slope, time.time() - T0))
g6k.lll(0, g6k.full_n)
if g6k.M.get_r(0, 0) <= target_norm:
break
# overdoing n_max would allocate too much memory, so we are careful
svp_Tmax = svp_bkz_time_factor * T_BKZ
n_max = int(58 + 2.85 * log(svp_Tmax * params.threads)/log(2.))
rr = [g6k.M.get_r(i, i) for i in range(d)]
for n_expected in range(2, d-2):
x = (target_norm/goal_margin) * n_expected/(1.*d)
if 4./3 * gaussian_heuristic(rr[d-n_expected:]) > x:
break
print("Without otf, would expect solution at pump-%d. n_max=%d in the given time." % (n_expected, n_max)) # noqa
if n_expected >= n_max - 1:
continue
n_max += 1
# Larger SVP
llb = d - blocksize
while gaussian_heuristic([g6k.M.get_r(i, i) for i in range(llb, d)]) < target_norm * (d - llb)/(1.*d): # noqa
llb -= 1
f = d-llb-n_max
if verbose:
print("Starting svp pump_{%d, %d, %d}, n_max = %d, Tmax= %.2f sec" % (llb, d-llb, f, n_max, svp_Tmax)) # noqa
pump(g6k, tracer, llb, d-llb, f, verbose=verbose,
goal_r0=target_norm * (d - llb)/(1.*d))
if verbose:
slope = basis_quality(g6k.M)["/"]
fmt = "\n slope: %.5f, walltime: %.3f sec"
print(fmt % (slope, time.time() - T0))
print()
g6k.lll(0, g6k.full_n)
T0_BKZ = time.time()
if g6k.M.get_r(0, 0) <= target_norm:
break
if g6k.M.get_r(0, 0) <= target_norm:
print("Finished! TT=%.2f sec" % (time.time() - T0))
print(g6k.M.B[0])
alpha_ = int(alpha*1000)
filename = 'lwechallenge/%03d-%03d-solution.txt' % (n, alpha_)
fn = open(filename, "w")
fn.write(str(g6k.M.B[0]))
fn.close()
return
"""
raise ValueError("No solution found.")
def ntru():
"""
Attempt to solve an ntru instance.
"""
description = ntru.__doc__
args, all_params = parse_args(description,
ntru__m=None,
lwe__goal_margin=1.5,
lwe__svp_bkz_time_factor=1,
bkz__blocksizes=None,
bkz__tours=1,
bkz__jump=1,
bkz__extra_dim4free=12,
bkz__fpylll_crossover=51,
bkz__dim4free_fun="default_dim4free_fun",
pump__down_sieve=True,
dummy_tracer=True, # set to control memory
verbose=True
)
stats = run_all(ntru_kernel, list(all_params.values()), # noqa
lower_bound=args.lower_bound,
upper_bound=args.upper_bound,
step_size=args.step_size,
trials=args.trials,
workers=args.workers,
seed=args.seed)
def svp_kernel(arg0, params=None, seed=None):
# Pool.map only supports a single parameter
if params is None and seed is None:
n, params, seed = arg0
else:
n = arg0
params = copy.copy(params)
load_matrix = params.pop("load_matrix")
alg = params.pop("svp/alg")
goal_r0 = 1.001 * params.pop('goal_r0')
workout_params = pop_prefixed_params("workout/", params)
pump_params = pop_prefixed_params("pump/", params)
verbose = params.pop("verbose")
if verbose and alg == "workout":
workout_params["verbose"] = True
A, bkz = load_matrix_file(load_matrix,
randomize=True,
seed=seed,
float_type="double")
if verbose:
print(("Loaded file '%s'" % load_matrix))
g6k = Siever(A, params, seed=seed)
tracer = SieveTreeTracer(g6k,
root_label=("svp-exact", n),
start_clocks=True)
if alg == "enum":
assert len(workout_params) + len(pump_params) == 0
bkz_params = fplll_bkz.Param(block_size=n,
max_loops=1,
strategies=fplll_bkz.DEFAULT_STRATEGY,
flags=fplll_bkz.GH_BND)
svp_enum(bkz, bkz_params, goal_r0)
flast = -1
elif alg == "duc18":
assert len(workout_params) + len(pump_params) == 0
flast = ducas18(g6k, tracer, goal=goal_r0)
elif alg == "workout":
flast = workout(g6k,
tracer,
0,
n,
goal_r0=goal_r0,
pump_params=pump_params,
**workout_params)
else:
raise ValueError("Unrecognized algorithm for SVP")
r0 = bkz.M.get_r(0, 0) if alg == "enum" else g6k.M.get_r(0, 0)
if r0 > goal_r0:
raise ValueError('Did not reach the goal')
if 1.002 * r0 < goal_r0:
raise ValueError(
'Found a vector(%d) shorter than the goal(%d) for n=%d.' %
(r0, goal_r0, n))
if verbose:
print("sol %d, %s" % (n, A[0]))
tracer.exit()
stat = tracer.trace
stat.data["flast"] = flast
tracer.trace.data['res'] = A
return stat
