Unimodular lattices for the Gaussian Wiretap Channel

@article{Belfiore2010UnimodularLF,
  title={Unimodular lattices for the Gaussian Wiretap Channel},
  author={Jean-Claude Belfiore and Patrick Sol{\'e}},
  journal={2010 IEEE Information Theory Workshop},
  year={2010},
  pages={1-5}
}
In [1] the authors introduced a lattice invariant called “Secrecy Gain” which measures the confusion experienced by a passive eavesdropper on the Gaussian Wiretap Channel. We study, here, the behavior of this invariant for unimodular lattices by using tools from Modular Forms and show that, for some families of unimodular lattices, indexed by the dimension, the secrecy gain exponentially goes to infinity with the dimension. 
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