Abstract:Recently, a design criterion depending on a lattice's volume and theta series, called the secrecy gain, was proposed to quantify the secrecy-goodness of the applied lattice code for the Gaussian wiretap channel. To address the secrecy gain of Construction A 4 lattices from formally self-dual Z 4 -linear codes, i.e., codes for which the symmetrized weight enumerator (swe) coincides with the swe of its dual, we present new constructions of Z 4 -linear codes which are formally self-dual with respect to the swe. F… Show more
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