2026-04-28T19:49:43Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/317242024-12-18T15:53:22Zcom_10324_1129com_10324_931com_10324_894com_10324_32197com_10324_952col_10324_1193col_10324_32199
On the distance of stabilizer quantum codes from J-affine variety codes
Galindo, Carlos
Geil, Olav
Hernando, Fernando
Ruano Benito, Diego
Producción CientÃfica
Self-orthogonal J-affine variety codes have been successfully used to obtain quantum stabilizer codes with excellent parameters. In a previous paper we gave formulae for the dimension of this family of quantum codes, but no bound for the minimum distance was given. In this work, we show how to derive quantum stabilizer codes with designed minimum distance from J-affine variety codes and their subfield-subcodes. Moreover, this allows us to obtain new quantum codes, some of them either, with better parameters, or with larger distances than the previously known codes.
2018-09-24T12:27:20Z
2018-09-24T12:27:20Z
2017
info:eu-repo/semantics/article
Quantum Information Processing. Volume 16, Issue 4, 16:111 (2017)
http://uvadoc.uva.es/handle/10324/31724
10.1007/s11128-017-1559-1
eng
https://link.springer.com/articl/10.1007%2Fs11128-017-1559-1
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
Attribution-NonCommercial-NoDerivatives 4.0 International
SI