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Hadamard Z₂Z₄Q₈-codes : rank and kernel
Montolio, Pere (Universitat Oberta de Catalunya)
Rifà i Coma, Josep (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)

Imprint: Springer 2015
Description: 7 p.
Abstract: Hadamard Z₂Z₄Q₈-codes are Hadamard binary codes coming from a subgroup of the direct product of Z₂, Z₄ and Q ₈ groups, where Q ₈ is the quaternionic group. We characterize Hadamard Z₂Z₄Q₈-codes as a quotient of a semidirect product of Z₂Z₄-linear codes and we show that all these codes can be represented in a standard form, from a set of generators. On the other hand, we show that there exist Hadamard Z₂Z₄Q₈-codes with any given pair of allowable parameters for the rank and dimension of the kernel.
Note: Publicació amb motiu del 4th International Castle Meeting (Palmela Castle, Portugal, 2014)
Rights: Tots els drets reservats
Language: Anglès.
Series: CIM Series in Mathematical Sciences
Document: bookPart ; acceptedVersion
Subject: Dimension of the kernel ; Error-correcting codes ; Hadamard codes ; Rank ; Z₂Z₄-linear codes ; Z₂Z₄Q₈-codes
ISBN: 978-3-319-17295-8
Published in: Coding Theory and Applications. Palmela Castle, Portugal, Vol. 3, 2015 , p. 273-279

DOI: 10.1007/978-3-319-17296-5_29

7 p, 576.8 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (scientific output) > Engineering > Combinatorics, Coding and Security Group (CCSG)
Books and collections > Book chapters

 Record created 2015-11-05, last modified 2019-02-03

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