| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4582761 | Finite Fields and Their Applications | 2015 | 23 Pages |
Abstract
Stabilizer codes obtained via the CSS code construction and the Steane's enlargement of subfield-subcodes and matrix-product codes coming from generalized Reed–Muller, hyperbolic and affine variety codes are studied. Stabilizer codes with good quantum parameters are supplied; in particular, some binary codes of lengths 127 and 128 improve the parameters of the codes in http://www.codetables.de. Moreover, non-binary codes are presented either with parameters better than or equal to the quantum codes obtained from BCH codes by La Guardia or with lengths that cannot be reached by them.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Carlos Galindo, Fernando Hernando, Diego Ruano,