Rank weight hierarchy of some classes of cyclic codes

• Main Authors: Ducoat, Jérôme, Oggier, Frédérique
• Other Authors: School of Physical and Mathematical Sciences
• Format: Conference or Workshop Item
• Language: English
• Published: 2015
• Subjects: DRNTU::Science::Physics::Atomic physics::Field theories
• Online Access: https://hdl.handle.net/10356/104524; http://hdl.handle.net/10220/25585
• Institution: Nanyang Technological University

We study the rank weight hierarchy, thus in particular the rank metric, of cyclic codes over the finite field Fqm, q a prime power, m ≤ 2. We establish the rank weight hierarchy for [n, n - 1] cyclic codes and characterize [n, k] cyclic codes of rank metric 1 when (1) k = 1, (2) n and q are coprime,...