A quadratic form approach to Construction A of lattices over cyclic algebras

• المؤلفون الرئيسيون: Berhuy, Grégory, Oggier, Frédérique
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2020
• الموضوعات: Science::Mathematics::Algebra; Construction A; Cyclic Algebra
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/144335
• المؤسسة: Nanyang Technological University

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. Example...