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Chapter 2 Algorithm Info Types 81
AI_ECParamGen
Crypto-C procedures to use with algorithm object:
B_GenerateInit and B_GenerateParameters. B_GenerateParameters sets the
resultAlgorithmObject
with the parameter information. You must pass an initialized
random algorithm to
B_GenerateParameters.
Algorithm methods to include in application’s algorithm chooser:
AM_ECFP_PARAM_GEN for odd prime fields and AM_ECF2POLY_PARAM_GEN for even
characteristic.
Notes:
Generating an elliptic curve for even characteristic without table lookup (
fieldType
=
FT_F2_ONB or FT_F2_POLYNOMIAL and
tableLookup
= 0) can be extremely time-
consuming, taking several hours in some cases. In general, larger values for
minOrderBits
mean longer times for curve generation. Therefore, if you wish to
generate curves for even characteristic, but do not want to use table lookup, you can
speed curve generation by setting a smaller value for
minOrderBits
. Remember,
however, that the size of
minOrderBits
is directly tied to the security of your elliptic
curve cryptosystem. Setting
minOrderBits
allows you to make a trade-off between the
time it takes to generate curves and the security of your system.