论文标题
二次形式的构造方法A循环代数的晶格A
A Quadratic Form Approach to Construction A of Lattices over Cyclic Algebras
论文作者
论文摘要
我们提出了通过（偏斜）多项式代码的晶格构造，通过在数字字段和环状代数中赋予一些合适的痕量形式的某些理想的商。我们给出了单偶性的标准。这产生具有乘法结构的积分和单型晶格。提供了示例。
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.
