Rank weight hierarchy of some classes of polynomial codes

• المؤلفون الرئيسيون: Ducoat, Jérôme, Oggier, Frédérique
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2023
• الموضوعات: Science::Mathematics; Coding Theory; Rank Metric
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/163959
• المؤسسة: Nanyang Technological University

We study the rank weight hierarchy, thus in particular the minimum rank distance, of polynomial codes over the finite field $\FF_{q^m}$, $q$ a prime power, $m \geq 2$. We assume that polynomials involved are squarefree. We establish the rank weight hierarchy of $[n,n-1]$ constacyclic codes. We chara...