Lattice Encoding of Cyclic Codes from Skew-polynomial Rings
Date of Issue2015
4th International Castle Meeting on Coding Theory and Applications
School of Physical and Mathematical Sciences
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.
© 2015 Springer International Publishing Switzerland. This is the author created version of a work that has been peer reviewed and accepted for publication by Coding Theory and Applications, Springer International Publishing Switzerland. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1007/978-3-319-17296-5_16].