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: |
Capítol de llibre ; Versió acceptada per publicar |
Subject: |
Dimension of the kernel ;
Error-correcting codes ;
Hadamard codes ;
Rank ;
Z₂Z₄-linear codes ;
Z₂Z₄Q₈-codes |
Published in: |
Coding Theory and Applications. Palmela Castle, Portugal, Vol. 3, 2015 , p. 273-279, ISBN 978-3-319-17295-8 |
DOI: 10.1007/978-3-319-17296-5_29
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Record created 2015-11-05, last modified 2023-01-30