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Designs, Codes and Cryptography

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01.09.2014

The structure of quaternary quantum caps

verfasst von: Jürgen Bierbrauer, Daniele Bartoli, Giorgio Faina, Stefano Marcugini, Fernanda Pambianco, Yves Edel

Erschienen in: Designs, Codes and Cryptography | Ausgabe 3/2014

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Abstract

We give a geometric description of binary quantum stabilizer codes. In the case of distance \(d=4\) this leads to the notion of a quaternary quantum cap. We describe several recursive constructions for quantum caps, determine the quantum caps in \(PG(3,4)\) and the cardinalities of quantum caps in \(PG(4,4).\)

Vorheriger Artikel Naive configurations

Nächster Artikel Lexicodes over rings

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Titel: The structure of quaternary quantum caps
verfasst von: Jürgen Bierbrauer
Daniele Bartoli
Giorgio Faina
Stefano Marcugini
Fernanda Pambianco
Yves Edel
Publikationsdatum: 01.09.2014
Verlag: Springer US
Erschienen in: Designs, Codes and Cryptography / Ausgabe 3/2014
Print ISSN: 0925-1022
Elektronische ISSN: 1573-7586
DOI: https://doi.org/10.1007/s10623-013-9796-5

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