Lattice Encoding of Cyclic Codes from Skew-polynomial Rings

• Main Authors: Ducoat, Jérôme, Oggier, Frédérique
• Other Authors: School of Physical and Mathematical Sciences
• Format: Conference or Workshop Item
• Language: English
• Published: 2015
• Subjects: Mathematical Sciences
• Online Access: https://hdl.handle.net/10356/79329; http://hdl.handle.net/10220/38756
• Institution: Nanyang Technological University

We propose a construction of lattices from cyclic codes from skew-polynomial rings. This construction may be seen as a variation of Construction A of lattices from linear codes, obtained from quotients of orders in cyclic division algebras. An application is coset encoding of wiretap space-time code...