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Binary Construction of Quantum Codes of Minimum Distance Three and Four.
- Source :
-
IEEE Transactions on Information Theory . Jun2004, Vol. 50 Issue 6, p1331-1336. 6p. - Publication Year :
- 2004
-
Abstract
- We give elementary recursive constructions of binary self- orthogonal codes with dual distance four for all even lengths n ≥ 12 and n = 8. Consequently, good quantum codes of minimum distance three and four for such length n are obtained via Steane's construction and the CSS construction. Previously, such quantum codes were explicitly constructed only for a sparse set of lengths. Almost all of our quantum codes of minimum distance three are optimal or near optimal, and some of our minimum-distance four quantum codes are better than or comparable with those known before. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 50
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 13500379
- Full Text :
- https://doi.org/10.1109/TIT.2004.828149