Research PapersNo Access

QUANTUM ERROR-CORRECTING CODES FROM QUASI-CYCLIC CODES

JIANFA QIAN

National Key Laboratory of ISN, Xidian University, Xi'an 710071, P. R. China

Search for more papers by this author

WENPING MA

National Key Laboratory of ISN, Xidian University, Xi'an 710071, P. R. China

Search for more papers by this author

, and

XINMEI WANG

National Key Laboratory of ISN, Xidian University, Xi'an 710071, P. R. China

Search for more papers by this author

https://doi.org/10.1142/S0219749908004444Cited by:7 (Source: Crossref)

Abstract

Quasi-cyclic codes form a generalization of cyclic codes, and contain a large number of record breaking codes. In this paper, we provide a method for constructing self-orthogonal quasi-cyclic codes, and obtain a large number of new quantum quasi-cyclic codes by CSS construction.

Keywords:

References

T. Beth and M. Grassl, Fortschr. Phys. 46, 459 (1998). Crossref, Web of Science, Google Scholar
A. R. Calderbanket al., Phys. Rev. Lett. 76, 405 (1997). Google Scholar
A. R. Calderbanket al., IEEE Trans. Inform. Theory 44, 1369 (1998), DOI: 10.1109/18.681315. Crossref, Web of Science, Google Scholar
S. A. Aly, A. Klappenedker and P. K. Sarvepalli, IEEE Trans. Inform. Theory 53, 1183 (2007), DOI: 10.1109/TIT.2006.890730. Crossref, Web of Science, Google Scholar
M. Grassl, W. Geiselmonn and T. Beth, AAECC 13, 231 (1999). Google Scholar
M. Grassl and T. Beth, Proc. Roy. Soc. London Series A 456, 2689 (2000). Crossref, Web of Science, Google Scholar
A. Ketkaret al., IEEE Trans. Inform. Theory 52, 4892 (2006), DOI: 10.1109/TIT.2006.883612. Crossref, Web of Science, Google Scholar
M. Hagiwara and H. Imai, Proc. ISIT (2007) p. 54. Google Scholar
G. Seroussi and A. Lempel, SIAM J. Comput. 9, 758 (1980), DOI: 10.1137/0209059. Crossref, Web of Science, Google Scholar
G. E. Seguin, IEEE Trans. Inform. Theory 50, 1745 (2004), DOI: 10.1109/TIT.2004.831861. Crossref, Web of Science, Google Scholar
J. Conan and G. Seguin, AAECC 4, 25 (1993), DOI: 10.1007/BF01270398. Crossref, Web of Science, Google Scholar
K. Lally and P. Fitzpatrick, Proc. Workshop on coding and cryptography (1999) p. 11. Google Scholar
I. Siap, N. Aydin and D. K. Ray-Chaudhuri, IEEE Trans. Inform. Theory 46, 1554 (2000), DOI: 10.1109/18.850694. Crossref, Web of Science, Google Scholar
R. Li, J. Air Force Eng. Univ. (Natural Science edition) 8, 85 (2007). Google Scholar
R. Li and X. Li, Int. J. Quant. Inform. 2, 265 (2004), DOI: 10.1142/S0219749904000213. Link, Web of Science, Google Scholar
J. Bierbrauer and Y. Edel, J. Combin. Des. 8, 174 (2000). Crossref, Web of Science, Google Scholar