Voronoi Shaping for Lattices With Efficient Encoding
Henrique Buglia, Renato Lopes · IEEE Communications Letters · 2021
In this letter, we propose a Voronoi shaping method for shaping lattices, Λs, and coding lattices, Λc, satisfying Λs⊆K\mathbb Zn⊆ Λc⊆ \mathbb Zn, with K being an integer diagonal matrix. This assumption is easily satisfied for lattices obtained from error-correcting codes. For these lattices, using the proposed strategy, lattice encoding complexity is reduced to the encoding complexity of the underlying error-correcting code. Our proposal is illustrated for Construction-D lattices with Gosset ( E8) and Leech ( Λ24) lattices as shaping lattices.