Binary Generalized Quasi-Cyclic Self-orthogonal Codes and Binary Construction of Pure Quantum Codes

DOI

10.2991/icfcce-14.2014.35How to use a DOI?

Keywords

Quantum code, Steane construction, self-orthogonal code, generalized quasi-cyclic code, pair of nested self-orthogonal codes.

Abstract

In this paper, a special subclass of binary generalized quasi-cyclic self-orthogonal codes and quantum codes constructed by Steane construction are discussed. Firstly, eight 16-dimensional even length generalized quasi-cyclic self-orthogonal codes with dual distance five are built based on circulant or partial circulant matrices. Secondly, pairs of nested self-orthogonal codes with dual distance five and three are designed by applying an algorithm for searching subcodes of a given code. Thirdly, revised pairs of codes with dual distance six and four are constructed by extending previous pairs of codes, and then eight quantum codes with distance six are obtained by Steane construction. These eight quantum codes are new binary construction by Steane construction and are best known ones.

Copyright

© 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/).

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TY  - CONF
AU  - Weiliang Wang
AU  - Yangyu Fan
AU  - Luobin Guo
PY  - 2014/03
DA  - 2014/03
TI  - Binary Generalized Quasi-Cyclic Self-orthogonal Codes and Binary Construction of Pure Quantum Codes
BT  - Proceedings of the 2014 International Conference on Future Computer and Communication Engineering
PB  - Atlantis Press
SP  - 142
EP  - 145
SN  - 1951-6851
UR  - https://doi.org/10.2991/icfcce-14.2014.35
DO  - 10.2991/icfcce-14.2014.35
ID  - Wang2014/03
ER  -