Weight Calculation And Purity Identification Of Symplectic Self-orthogonal Codes
- 10.2991/csss-14.2014.131How to use a DOI?
- quantum error-correcting codes; symplectic self-orthogonal code; weight polynomial; pure codes
The purity identification of quantum error-correcting codes and symplectic self-orthogonal is a pivotal problem in quantum code theory. This work is dedicated to some issues of symplectic codes. First, by the MacWillams identity, a fast algorithm to determine the weight polynomial of high-dimension symplectic codes is designed; second a solution to seek for the dual codes of symplectic codes is derived; third the effective method to identify the purity of symplectic codes is obtained; and at last constructions of symplectic self-orthogonal codes are given, resulted three impure symplectic self-orthogonal codes, the quantum codes stabilized by the three impure symplectic self-orthogonal codes are optimal. The above work may offer new methods for purity identification of symplectic self-orthogonal codes and quantum error-correcting codes.
- © 2014, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Kai Cao AU - Luobin Guo AU - Chaoyang Li AU - Yuxiang Zheng AU - Leinan He AU - Zhenpeng Zhao PY - 2014/06 DA - 2014/06 TI - Weight Calculation And Purity Identification Of Symplectic Self-orthogonal Codes BT - Proceedings of the 3rd International Conference on Computer Science and Service System PB - Atlantis Press SP - 558 EP - 561 SN - 1951-6851 UR - https://doi.org/10.2991/csss-14.2014.131 DO - 10.2991/csss-14.2014.131 ID - Cao2014/06 ER -