Let C be a binary linear code and suppose that its automorphism group contains a non trivial subgroup G. What can we say about C knowing G? In this thesis we collect some answers to this question. We focus on the cases G = C_p, G = C_2p and G = D_2p (p an odd prime), with a particular regard to the case in which C is self-dual. Furthermore we generalize some methods used in other papers on this subject. The third chapter is devoted to the investigation of the automorphism group of a putative self-dual [72; 36; 16] code, whose existence is a long-standing open problem. Last chapter is about semi self-dual codes and new upped bound on their dual distance.
(2014). Automorphism groups of self-dual binary linear codes with a particular regard to the extremal case of length 72. (Tesi di dottorato, Università degli Studi di Milano-Bicocca, 2014).
Automorphism groups of self-dual binary linear codes with a particular regard to the extremal case of length 72
BORELLO, MARTINO
2014
Abstract
Let C be a binary linear code and suppose that its automorphism group contains a non trivial subgroup G. What can we say about C knowing G? In this thesis we collect some answers to this question. We focus on the cases G = C_p, G = C_2p and G = D_2p (p an odd prime), with a particular regard to the case in which C is self-dual. Furthermore we generalize some methods used in other papers on this subject. The third chapter is devoted to the investigation of the automorphism group of a putative self-dual [72; 36; 16] code, whose existence is a long-standing open problem. Last chapter is about semi self-dual codes and new upped bound on their dual distance.Campo DC | Valore | Lingua |
---|---|---|
dc.authority.academicField2000 | MAT/02 - ALGEBRA | it |
dc.authority.advisor | DALLA VOLTA, FRANCESCA | it |
dc.authority.people | BORELLO, MARTINO | it |
dc.authority.phdCourse | MATEMATICA PURA E APPLICATA - 23R | it |
dc.authority.phdSchool | Scuola di dottorato di Scienze | it |
dc.collection.id.s | e39773c1-7ce8-35a3-e053-3a05fe0aac26 | * |
dc.collection.name | 07 - Tesi di dottorato Bicocca post 2009 | * |
dc.coverage.academiccycle | 26 | it |
dc.coverage.academicyear | 2012/2013 | it |
dc.date.accessioned | 2014-01-24T15:14:37Z | - |
dc.date.available | 2014-01-24T15:14:37Z | - |
dc.date.issued | 2014-01-16 | - |
dc.description.abstracteng | Let C be a binary linear code and suppose that its automorphism group contains a non trivial subgroup G. What can we say about C knowing G? In this thesis we collect some answers to this question. We focus on the cases G = C_p, G = C_2p and G = D_2p (p an odd prime), with a particular regard to the case in which C is self-dual. Furthermore we generalize some methods used in other papers on this subject. The third chapter is devoted to the investigation of the automorphism group of a putative self-dual [72; 36; 16] code, whose existence is a long-standing open problem. Last chapter is about semi self-dual codes and new upped bound on their dual distance. | - |
dc.description.allpeople | Borello, M | - |
dc.description.allpeopleoriginal | Borello, | - |
dc.description.codicestruttura | 4402 | it |
dc.description.doctoreuropaeus | No | it |
dc.description.fulltext | open | en |
dc.description.fulltextoriginal | open | en |
dc.description.numberofauthors | 1 | - |
dc.identifier.citation | (2014). Automorphism groups of self-dual binary linear codes with a particular regard to the extremal case of length 72. (Tesi di dottorato, Università degli Studi di Milano-Bicocca, 2014). | it |
dc.identifier.uri | http://hdl.handle.net/10281/49887 | - |
dc.language.iso | eng | it |
dc.publisher.country | Italy | - |
dc.publisher.name | Università degli Studi di Milano-Bicocca | - |
dc.relation.alleditors | SALA, MASSIMILIANO | it |
dc.subject.keywords | Automorphism group; extremal self-dual codes | - |
dc.subject.singlekeyword | Automorphism group | * |
dc.subject.singlekeyword | extremal self-dual codes | * |
dc.title | Automorphism groups of self-dual binary linear codes with a particular regard to the extremal case of length 72 | it |
dc.type | Tesi di dottorato | - |
dc.type.driver | info:eu-repo/semantics/doctoralThesis | - |
dc.type.full | Pubblicazioni::07 - Tesi di dottorato Bicocca post 2009 | it |
dc.type.miur | -2.0 | - |
iris.bncf.datainvio | 2024/06/03 10:13:08 | * |
iris.bncf.handle | 20.500.14242/72246 | * |
iris.bncf.nbn | URN:NBN:IT:UNIMIB-72246 | * |
iris.bncf.stato | 2 | * |
iris.bncf.uuid | 44990ee3-9ed3-445a-a5f6-f5bccbfa77f3 | * |
iris.orcid.lastModifiedDate | 2023/12/21 12:13:19 | * |
iris.orcid.lastModifiedMillisecond | 1703157199317 | * |
iris.sitodocente.maxattempts | 1 | - |
Appare nelle tipologie: | 07 - Tesi di dottorato Bicocca post 2009 |
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