New quantum codes from evaluation and matrix-product codes

نویسندگان

  • Carlos Galindo
  • Fernando Hernando
  • Diego Ruano
چکیده

Stabilizer codes obtained via the CSS code construction and the Steane’s enlargement of subfield-subcodes and matrix-product codes coming from generalized ReedMuller, 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, nonbinary 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.

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عنوان ژورنال:
  • Finite Fields and Their Applications

دوره 36  شماره 

صفحات  -

تاریخ انتشار 2015