Quantum twisted codes
Document Type
Article
Publication Date
2000
Department
Department of Mathematical Sciences
Abstract
A major contribution of [1] is a reduction of the problem of correcting errors in quantum computations to the construction of codes in binary symplectic spaces. This mechanism is known as the additive or stabilizer construction. We consider an obvious generalization of these quantum codes in the symplectic geometry setting and obtain general constructions using our theory of twisted BCH-codes (also known as Reed-Solomon subspace subcodes). This leads to families of quantum codes with good parameters. Moreover, the generator matrices of these codes can be described in a canonical way.
Publication Title
Journal of Combinatorial Designs
Recommended Citation
Bierbrauer, J.,
&
Edel, Y.
(2000).
Quantum twisted codes.
Journal of Combinatorial Designs,
8(3), 174-188.
http://doi.org/10.1002/(SICI)1520-6610(2000)8:3<174::AID-JCD3>3.0.CO;2-T
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/3322