On additive self-dual codes over GF(4) and their applications

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dc.contributor.authorVarbanov, Zlatko
dc.date.accessioned2024-07-12T20:56:09Z
dc.date.available2024-07-12T20:56:09Z
dc.date.issued2009en_US
dc.departmentMaltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesien_US
dc.description.abstractAfter the publication [1], additive self-orthogonal codes over GF(4) under a trace inner product became of interest because of their correspondence to additive (or stabilizer) quantum error-correcting codes. Several papers were devoted to classifying or constructing additive self-dual codes over GF(4). It was shown [2] that certain vectors in some additive self-dual codes over GF(4) hold generalized t-designs as well as classical t-designs with possibly repeated blocks. Also, every additive self-dual code over GF(4) can be uniquely represented as an undirected graph, and conversely. These facts motivate the construction of additive self-dual codes over GF(4). In this work we consider some constructive algorithms for additive self-dual codes over GF(4). We use these algorithms to construct new codes. Also, we describe the relations between this class of codes and other combinatorial structures.en_US
dc.identifier.citationVarbanov, Z. (2009). On additive self-dual codes over GF(4) and their applications. Maltepe Üniversitesi. s. 406.en_US
dc.identifier.endpage407en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage406en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2936
dc.institutionauthorVarbanov, Zlatko
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07660
dc.subjectAdditive self-dual codesen_US
dc.subjectBlock designsen_US
dc.subjectQuantum codesen_US
dc.subjectConstructive algorithmsen_US
dc.titleOn additive self-dual codes over GF(4) and their applicationsen_US
dc.typeConference Object
dspace.entity.typePublication

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