基于有效编码的Voronoi成形
Voronoi Shaping with Efficient Encoding
摘要：
在这封信中，我们提出了一个Voronoi成形方法，降低编码复杂度。该方法适用于满足链$Λ_s \subseteq \textbf{K}\mathbb{Z}^n \subseteq Λ_c$的整数整形和编码格，其中$\textbf{K}$是整数对角矩阵。这个假设很容易满足格从纠错码。对于这些格，使用这种策略，得到一个明确的陪集代表集，格编码的复杂性降低到线性码编码的复杂性。我们的建议是说明在建设D格与Gosset（$E_8$）和水蛭（$Λ_{24}$）格作为成形格。
英文摘要：
In this letter, we propose a Voronoi shaping method with reduced encoding complexity. The method works for integer shaping and coding lattices satisfying the chain $Λ_s \subseteq \textbf{K}\mathbb{Z}^n \subseteq Λ_c$, with $\textbf{K}$ an integer diagonal matrix. This assumption is easily satisfied for lattices obtained from error-correcting codes. For those lattices, using this strategy, an explicit set of coset representatives is obtained and lattice encoding complexity is reduced to the linear code encoding complexity. Our proposal is illustrated in construction-D lattices with Gosset ($E_8$) and Leech ($Λ_{24}$) lattices as shaping lattices.
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