Nonbinary quantum error-correcting codes from algebraic curves

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

• Type: Journal
• Year: 2008
• Where: DM
• Authors: Jon-Lark Kim, Judy Walker
• Keywords: DM 2008, Generalized Css Construction, Nonbinary Quantum, Quantum Stabilizer Codes