  Monte Carlo data of the two-dimensional Ising spin glass with bimodal
interactions are presented with the aim of understanding the low-temperature
physics of the model. An analysis of the specific heat, spin-glass
susceptibility, finite-size correlation length, and the Binder ratio is
performed to try to verify a recent proposal in which for large system sizes
and finite but low temperatures the effective critical exponents are identical
to the critical exponents of the two-dimensional Ising spin glass with Gaussian
interactions. Our results show that with present system sizes the recently
proposed scenario in which the two-dimensional Ising spin glass with bimodally
distributed interactions is in the same universality class as the model with
Gaussian-distributed disorder at low but finite temperatures cannot be reliably
proven.
