On the automorphism groups of the Z₂Z₄-linear Hadamard codes and their classification
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...
| Autores: | , |
|---|---|
| Tipo de documento: | capítulo de livro |
| Data de publicação: | 2015 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:142876 |
| Acesso em linha: | https://ddd.uab.cat/record/142876 https://dx.doi.org/urn:doi:10.1007/978-3-319-17296-5_25 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Z₂Z₄-linear codes Additive codes Hadamard codes Automorphism group |
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On the automorphism groups of the Z₂Z₄-linear Hadamard codes and their classificationKrotov, Denis S.Villanueva, M.|||0000-0001-6179-0833Z₂Z₄-linear codesAdditive codesHadamard codesAutomorphism groupIt 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.Springer 22015-01-0120152015-01-01Capítol de llibrehttp://purl.org/coar/resource_type/c_3248AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/bookPartapplication/pdfhttps://ddd.uab.cat/record/142876https://dx.doi.org/urn:doi:10.1007/978-3-319-17296-5_25reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1428762026-06-06T12:50:31Z |
| dc.title.none.fl_str_mv |
On the automorphism groups of the Z₂Z₄-linear Hadamard codes and their classification |
| title |
On the automorphism groups of the Z₂Z₄-linear Hadamard codes and their classification |
| spellingShingle |
On the automorphism groups of the Z₂Z₄-linear Hadamard codes and their classification Krotov, Denis S. Z₂Z₄-linear codes Additive codes Hadamard codes Automorphism group |
| title_short |
On the automorphism groups of the Z₂Z₄-linear Hadamard codes and their classification |
| title_full |
On the automorphism groups of the Z₂Z₄-linear Hadamard codes and their classification |
| title_fullStr |
On the automorphism groups of the Z₂Z₄-linear Hadamard codes and their classification |
| title_full_unstemmed |
On the automorphism groups of the Z₂Z₄-linear Hadamard codes and their classification |
| title_sort |
On the automorphism groups of the Z₂Z₄-linear Hadamard codes and their classification |
| dc.creator.none.fl_str_mv |
Krotov, Denis S. Villanueva, M.|||0000-0001-6179-0833 |
| author |
Krotov, Denis S. |
| author_facet |
Krotov, Denis S. Villanueva, M.|||0000-0001-6179-0833 |
| author_role |
author |
| author2 |
Villanueva, M.|||0000-0001-6179-0833 |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Z₂Z₄-linear codes Additive codes Hadamard codes Automorphism group |
| topic |
Z₂Z₄-linear codes Additive codes Hadamard codes Automorphism group |
| description |
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. |
| publishDate |
2015 |
| dc.date.none.fl_str_mv |
2 2015-01-01 2015 2015-01-01 |
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Capítol de llibre http://purl.org/coar/resource_type/c_3248 AM http://purl.org/coar/version/c_ab4af688f83e57aa |
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info:eu-repo/semantics/bookPart |
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bookPart |
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https://ddd.uab.cat/record/142876 https://dx.doi.org/urn:doi:10.1007/978-3-319-17296-5_25 |
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https://ddd.uab.cat/record/142876 https://dx.doi.org/urn:doi:10.1007/978-3-319-17296-5_25 |
| dc.language.none.fl_str_mv |
Inglés eng |
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Inglés |
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eng |
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open access http://purl.org/coar/access_right/c_abf2 https://rightsstatements.org/vocab/InC/1.0/ |
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info:eu-repo/semantics/openAccess |
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open access http://purl.org/coar/access_right/c_abf2 https://rightsstatements.org/vocab/InC/1.0/ |
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openAccess |
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application/pdf |
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Springer |
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Springer |
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reponame:Dipòsit Digital de Documents de la UAB instname:Universitat Autònoma de Barcelona |
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Universitat Autònoma de Barcelona |
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Dipòsit Digital de Documents de la UAB |
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Dipòsit Digital de Documents de la UAB |
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