Lattice Encoding of Cyclic Codes from Skew-polynomial Rings

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...

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