Linear Pruning

If we want to use pruning we can use the default pruning of fplll or to use our custom pruning. For instance, say that for some reason we want to use linear pruning. Then, we shall define the new linear pruning strategy as follows.

>>> def linear_pruning_strategy(block_size, level):
...  if level > block_size - 1:
...    raise ValueError
...  if block_size  < 5:
...    raise ValueError
...  from fpylll import BKZ
...  from fpylll.fplll.pruner import PruningParams
...  from fpylll.fplll.bkz_param import Strategy
...  preprocessing = 3
...  strategies1 = [Strategy(i) for i in range(6)]
...  for b in range(6, block_size+1):
...    if block_size == b:
...        pr = PruningParams.LinearPruningParams(block_size, level)
...        s = Strategy(b, [preprocessing], [pr])
...    else:
...        s = Strategy(b, [preprocessing])
...    strategies1.append(s)
...  param = BKZ.Param(block_size = block_size, strategies = strategies1)
...  return param

So, now we can define a new strategy that uses linear pruning

>>> LP = linear_pruning_strategy(10, 6)

Now, we shall compute the BKZ reduction of a large matrix using linear pruning.

>>> from fpylll import IntegerMatrix, BKZ, FPLLL
>>> A = IntegerMatrix(70, 71)
>>> FPLLL.set_random_seed(2013)
>>> A.randomize("intrel", bits=100)
>>> bkz_reduced = BKZ.reduction(A, LP)

Now, bkz_reduced is the BKZ reduced matrix of A using linear pruning with blocksize 10 and level 6. If we want to use the default strategy of fplll (which is faster than the previous linear pruning strategy) we use BKZ.DEFAULT_STRATEGY,

>>> param = BKZ.Param(block_size=10, strategies=BKZ.DEFAULT_STRATEGY)
>>> bkz_reduced_2 = BKZ.reduction(A, param)

and

>>> bkz_reduced == bkz_reduced_2
True