The existence of optimal quaternary [28,20,6] and quantum [[28,12,6]] codes
The existence of a quantum $[[28,12,6]]$ code was one of the few cases for codes of length $n\le 30$ that was left open in the seminal paper by Calderbank, Rains, Shor, and Sloane \cite{CRSS}. The main result of this paper is the construction of a new optimal linear quaternary $[28,20,6]$ code which...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Yildiz Technical University
2014-09-01
|
| Series: | Journal of Algebra Combinatorics Discrete Structures and Applications |
| Subjects: | |
| Online Access: | http://www.eds.yildiz.edu.tr/AjaxTool/GetArticleByPublishedArticleId?PublishedArticleId=2028 |
| Summary: | The existence of a quantum $[[28,12,6]]$ code was one of the few cases for codes of length $n\le 30$ that was left open in the seminal paper by Calderbank, Rains, Shor, and Sloane \cite{CRSS}. The main result of this paper is the construction of a new optimal linear quaternary $[28,20,6]$ code which contains its hermitian dual code and yields an optimal linear quantum $[[28,12,6]]$ code. |
|---|---|
| ISSN: | 2148-838X |