Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Christensen, Ren�� B��dker"'
Publikováno v:
Christensen, R B, Munuera, C, Pereira, F R F & Ruano, D 2023, ' An algorithmic approach to entanglement-assisted quantum error-correcting codes from the Hermitian curve ', Advances in Mathematics of Communication, vol. 17, no. 1, pp. 78-97 . https://doi.org/10.3934/amc.2021072
We study entanglement-assisted quantum error-correcting codes (EAQECCs) arising from classical one-point algebraic geometry codes from the Hermitian curve with respect to the Hermitian inner product. Their only unknown parameter is $c$, the number of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd833aa19058d48248db50fbf4c488f6
Autor:
Christensen, Ren�� B��dker, Geil, Olav
In this work, we study quantum error-correcting codes obtained by using Steane-enlargement. We apply this technique to certain codes defined from Cartesian products previously considered by Galindo et al. in [4]. We give bounds on the dimension incre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8e0010fb5a3f65d4734fe66c68ce0ad3
Autor:
Christensen, Ren�� B��dker, Geil, Olav
In this paper, we study the construction of quantum codes by applying Steane-enlargement to codes from the Hermitian curve. We cover Steane-enlargement of both usual one-point Hermitian codes and of order bound improved Hermitian codes. In particular
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f0a6b4db3430d5186812bbfb1428f640
Autor:
Christensen, Ren�� B��dker, Geil, Olav
Nested code pairs play a crucial role in the construction of ramp secret sharing schemes [Kurihara et al. 2012] and in the CSS construction of quantum codes [Ketkar et al. 2006]. The important parameters are (1) the codimension, (2) the relative mini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::125917b15a88b9cfe758b4a8f675fb72