论文标题
通过有效编码的Voronoi成型
Voronoi Shaping with Efficient Encoding
论文作者
论文摘要
在这封信中，我们提出了一种具有降低编码复杂性的Voronoi塑形方法。该方法适用于满足链的整数整形和编码晶格，$λ_s\ subseteq \ textbf {k} \ Mathbb {z}^n \subseteqλ_c$，带有$ \ textbf {k} $ integer diagonal diagonal矩阵。对于从错误校正的代码获得的晶格中，很容易满足此假设。对于那些晶格，使用此策略，获得了一组明确的coset代表，并将编码复杂性的晶格编码降低到编码复杂性的线性代码。我们的建议在gosset（$ e_8 $）和leech（$λ_{24} $）晶格中以构造晶格的形式说明了我们的建议。
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.
