New quantum codes from evaluation and matrix-product codes

Producción CientíficaStabilizer 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.Supported by the Spanish Ministry of Economy: grant MTM2012-36917-C03-03, the University Jaume I: grant PB1-1B2012-04 and the Danish Council for Independent Research, grant DFF-4002-00367