New optimal asymmetric quantum codes from constacyclic codes
Date of Issue2014
School of Physical and Mathematical Sciences
In this paper, we construct two classes of asymmetric quantum codes by using constacyclic codes. The first class is the asymmetric quantum codes with parameters [[q2 + 1, q2 + 1 - 2(t + k + 1), (2k + 2)/(2t + 2)]]q2 where q is an odd prime power, t, k are integers with , which is a generalization of [J. Chen, J. Li and J. Lin, Int. J. Theor. Phys. 53 (2014) 72, Theorem 2] in the sense that we do not assume that q ≡1 (mod 4). The second one is the asymmetric quantum codes with parameters , where q ≥ 5 is an odd prime power, t, k are integers with 0 ≤ t ≤ k ≤ q - 1. The constructed asymmetric quantum codes are optimal and their parameters are not covered by the codes available in the literature.
Modern physics letters B
© 2014 World Scientific Publishing Company. This paper was published in Modern Physics Letters B and is made available as an electronic reprint (preprint) with permission of World Scientific Publishing Company. The paper can be found at the following official DOI: [http://dx.doi.org/10.1142/S0217984914501267]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.