Generalized rank weights : a duality statement

• Main Author: Ducoat, Jérôme
• 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/10356/100886; http://hdl.handle.net/10220/25511; http://www.ams.org/books/conm/632/
• Institution: Nanyang Technological University

We consider linear codes over some fixed finite field extension Fq m/Fq, where Fq is an arbitrary finite field. In [1], Gabidulin introduced rank metric codes, by endowing linear codes over Fq m with a rank weight over Fq and studied their basic properties in analogy with linear codes and the classical...