Constructions of Nonequivalent Fp-Additive Generalised Hadamard Codes

Steven T. Dougherty, Josep Rifa, Merce Villanueva

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1 Citació (Scopus)

Resum

A subset of a vector space Fnq is K-additive if it is a linear space over the subfield K C Fq. Let q = pe, p prime, and e > 1. Bounds on the rank and dimension of the kernel of generalised Hadamard (GH) codes which are Fp-additive are established. For specific ranks and dimensions of the kernel within these bounds, Fp-additive GH codes are constructed. Moreover, for the case e = 2, it is shown that the given bounds are tight and it is possible to construct an Fp-additive GH code for all allowable ranks and dimensions of the kernel between these bounds. Finally, we also prove that these codes are selforthogonal with respect to the trace Hermitian inner product, and generate pure quantum codes.

Idioma originalAnglès
Títol de la publicació2020 IEEE International Symposium on Information Theory, ISIT 2020 - Proceedings
EditorInstitute of Electrical and Electronics Engineers Inc.
Pàgines150-155
Nombre de pàgines6
ISBN (electrònic)9781728164328
DOIs
Estat de la publicacióPublicada - de juny 2020

Sèrie de publicacions

NomIEEE International Symposium on Information Theory - Proceedings
Volum2020-June
ISSN (imprès)2157-8095

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