estimator.reduction.BDGL16#

class estimator.reduction.BDGL16[source]#
__call__(beta, d, B=None)[source]#

Runtime estimation given β and assuming sieving is used to realise the SVP oracle following [SODA:BDGL16].

Parameters

  • beta – Block size ≥ 2.

  • d – Lattice dimension.

  • B – Bit-size of entries.

EXAMPLE:

>>> from math import log
>>> from estimator.reduction import RC
>>> log(RC.BDGL16(500, 1024), 2.0)
175.4

Methods

LLL(d[, B])

Runtime estimation for LLL algorithm based on [AC:CheNgu11].

__init__()

beta()

Estimate required block size β for a given root-hermite factor δ based on [PhD:Chen13].

delta(beta)

Compute root-Hermite factor δ from block size β.

short_vectors(beta, d[, N, B, preprocess, ...])

Cost of outputting many somewhat short vectors.

short_vectors_simple(beta, d[, N, B, preprocess])

Cost of outputting many somewhat short vectors.

svp_repeat(beta, d)

Return number of SVP calls in BKZ-β.