We provide sets of parameters for multiplicative linear congruential generators (MLCGs) of different sizes and good performance with respect to the spectral test. For
ℓ
=
8
,
9
,
…
,
64
,
127
,
128
\ell = 8, 9, \dots , 64, 127, 128
, we take as a modulus
m
m
the largest prime smaller than
2
ℓ
2^\ell
, and provide a list of multipliers
a
a
such that the MLCG with modulus
m
m
and multiplier
a
a
has a good lattice structure in dimensions 2 to 32. We provide similar lists for power-of-two moduli
m
=
2
ℓ
m = 2^{\ell }
, for multiplicative and non-multiplicative LCGs.