We propose a construction of lattices from (skew-) polynomial codes, by endowing quotients of some ideals in both number fields and cyclic algebras with a suitable trace form. We give criteria for unimodularity. This yields integral and unimodular lattices with a multiplicative structure. Examples are provided.

中文翻译：

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循环代数上格A的二次型构造方法

我们通过为数域和循环代数中的一些理想的商赋予合适的迹形式，从（偏斜）多项式代码构建格。我们给出了单模性的标准。这产生具有乘法结构的积分和单模晶格。提供了示例。