On the automorphism groups of the Z₂Z₄-linear Hadamard codes and their classification
Krotov, Denis S. (Sobolev Institute of Mathematics)
Villanueva, M. (Mercè) (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)

Imprint:	Springer 2015
Description:	7 p.
Abstract:	It is known that there are exactly ⌊(t−1)/2⌋ and ⌊t/2⌋ nonequivalent Z₂Z₄-linear Hadamard codes of length 2ᵗ , with α = 0 and α≠0, respectively, for all t ≥ 3. In this paper, it is shown that each Z₂Z₄-linear Hadamard code with α = 0 is equivalent to a Z₂Z₄-linear Hadamard code with α ≠ 0, so there are only ⌊t/2⌋ nonequivalent Z₂Z₄-linear Hadamard codes of length 2ᵗ. Moreover, the orders of the permutation automorphism groups of the Z₂Z₄-linear Hadamard codes are given.
Note:	Publicació amb motiu del 4th International Castle Meeting (Pamela Castle, Portugal). Sep. 15-18 2014
Rights:	Tots els drets reservats.
Language:	Anglès
Series:	CIM Series in Mathematical Sciences
Document:	Capítol de llibre ; Versió acceptada per publicar
Subject:	Z₂Z₄-linear codes ; Additive codes ; Hadamard codes ; Automorphism group
Published in:	Coding Theory and Applications, Vol. 3, 2015, p. 237-243, ISBN 978-3-319-17295-8

DOI: 10.1007/978-3-319-17296-5_25

Post-print 7 p, 1002.4 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Engineering > Combinatorics, Coding and Security Group (CCSG)
Books and collections > Book chapters