Constructions of new nonbinary quantum codes
Date of Issue2014
School of Physical and Mathematical Sciences
Two new families of good nonbinary quantum codes are constructed in this paper. The first one can be regarded as a generalization of [Theorem 3.2, X. Kai, S. Zhu and Y. Tang, Phys. Rev. A 88, 012326 (2013)], in the sense that we drop the constraint q≡1 (mod 4). The later one is a quantum maximal-distance-separable (MDS) code. Compared the parameters of our quantum MDS codes with the parameters of quantum MDS codes available in the literature, the quantum MDS codes exhibited here have bigger minimum distance.
DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory
International journal of theoretical physics
© 2014 Springer Science+Business Media New York. This is the author created version of a work that has been peer reviewed and accepted for publication by International Journal of Theoretical Physics, Springer Science+Business Media New York. 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/s10773-014-2204-8].