Abstract | ||
---|---|---|
We give a new exposition and proof of a generalized CSS construction for nonbinary quantum error-correcting codes. Using this we construct nonbinary quantum stabilizer codes with various lengths, dimensions, and minimum distances from algebraic curves. We also give asymptotically good nonbinary quantum codes from a Garcia-Stichtenoth tower of function fields which are constructible in polynomial time. |
Year | DOI | Venue |
---|---|---|
2008 | 10.1016/j.disc.2007.08.038 | Discrete Mathematics |
Keywords | Field | DocType |
nonbinary quantum codes,algebraic geometric codes,nonbinary quantum codes.,polynomial time,algebraic curve | Quantum,Quantum codes,Discrete mathematics,Combinatorics,Algebra,Algebraic curve,Error detection and correction,Quantum convolutional code,Time complexity,Mathematics | Journal |
Volume | Issue | ISSN |
308 | 14 | Discrete Mathematics |
Citations | PageRank | References |
10 | 0.82 | 9 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jon-Lark Kim | 1 | 312 | 34.62 |
Judy Walker | 2 | 10 | 0.82 |