Stabilizer quantum codes from J-affine variety codes and a new Steane-like enlargement

Galindo, Carlos; Hernando, Fernando; Ruano Benito, Diego

doi:10.1007/s11128-015-1057-2

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Título

Stabilizer quantum codes from J-affine variety codes and a new Steane-like enlargement

Autor

Galindo, Carlos

Hernando, Fernando

Ruano Benito, Diego

Año del Documento

2015

Descripción

Producción Científica

Documento Fuente

Quantum Information Processing. Volume 14, Issue 9, pages 3211-3231 (2015)

Zusammenfassung

New stabilizer codes with parameters better than the ones available in the literature are provided in this work, in particular quantum codes with parameters [[127,63, >= 12]]_2 and [[63,45, >= 6]]_4 that are records. These codes are constructed with a new generalization of the Steane's enlargement procedure and by considering orthogonal subfield-subcodes -with respect to the Euclidean and Hermitian inner product- of a new family of linear codes, the J-affine variety codes.

Revisión por pares

DOI

10.1007/s11128-015-1057-2

Patrocinador

Supported by the Spanish Ministry of Economy: grant MTM2012-36917-C03-03, the University Jaume I: grant PB1-1B2012-04, the Danish Council for Independent Research, grant DFF-4002-00367 and the "Program for Promoting the Enhancement of Research Universities'' at Tokyo Institute of Technology

Version del Editor

http://dx.doi.org/10.1007/s11128-015-1057-2