{"id":"https://openalex.org/W2102704738","doi":"https://doi.org/10.1109/tit.2014.2298137","title":"On the Construction of Nonbinary Quantum BCH Codes","display_name":"On the Construction of Nonbinary Quantum BCH Codes","publication_year":2014,"publication_date":"2014-01-31","ids":{"openalex":"https://openalex.org/W2102704738","doi":"https://doi.org/10.1109/tit.2014.2298137","mag":"2102704738"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2298137","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2298137","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1212.5687","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Giuliano Gadioli La Guardia","orcid":null},"institutions":[{"id":"https://openalex.org/I68207295","display_name":"Universidade Estadual de Ponta Grossa","ror":"https://ror.org/027s08w94","country_code":"BR","type":"education","lineage":["https://openalex.org/I68207295"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Giuliano Gadioli La Guardia","raw_affiliation_strings":["Department of Mathematics and Statistics, State University of Ponta Grossa, Ponta Grossa, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, State University of Ponta Grossa, Ponta Grossa, Brazil","institution_ids":["https://openalex.org/I68207295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I68207295"],"apc_list":null,"apc_paid":null,"fwci":6.3302,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.96546864,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"60","issue":"3","first_page":"1528","last_page":"1535"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.8999000191688538,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.8999000191688538,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.0430000014603138,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.009999999776482582,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bch-code","display_name":"BCH code","score":0.5889000296592712},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.5713000297546387},{"id":"https://openalex.org/keywords/quantum-convolutional-code","display_name":"Quantum convolutional code","score":0.42809998989105225},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.42800000309944153},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.37929999828338623},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.3343999981880188},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.3314000070095062}],"concepts":[{"id":"https://openalex.org/C42276685","wikidata":"https://www.wikidata.org/wiki/Q795705","display_name":"BCH code","level":3,"score":0.5889000296592712},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.5713000297546387},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.512499988079071},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4934000074863434},{"id":"https://openalex.org/C69497775","wikidata":"https://www.wikidata.org/wiki/Q7269025","display_name":"Quantum convolutional code","level":5,"score":0.42809998989105225},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.42800000309944153},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.37929999828338623},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.3343999981880188},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.3314000070095062},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32899999618530273},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29499998688697815},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.2904999852180481},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2879999876022339},{"id":"https://openalex.org/C101252705","wikidata":"https://www.wikidata.org/wiki/Q7294373","display_name":"Raptor code","level":5,"score":0.28119999170303345},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.27799999713897705},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.2770000100135803},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.2685000002384186},{"id":"https://openalex.org/C114504821","wikidata":"https://www.wikidata.org/wiki/Q2164281","display_name":"Turbo code","level":3,"score":0.2605000138282776},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.25769999623298645},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.2531999945640564}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2014.2298137","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2298137","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1212.5687","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1212.5687","pdf_url":"https://arxiv.org/pdf/1212.5687","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1212.5687","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1212.5687","pdf_url":"https://arxiv.org/pdf/1212.5687","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W2030818964","https://openalex.org/W2051788381","https://openalex.org/W2060885602","https://openalex.org/W2076107177","https://openalex.org/W2083774980","https://openalex.org/W2095755044","https://openalex.org/W2112952018","https://openalex.org/W2119200400","https://openalex.org/W2135537429","https://openalex.org/W2143438504","https://openalex.org/W2150039337","https://openalex.org/W2150886601","https://openalex.org/W2151819397","https://openalex.org/W2162938940","https://openalex.org/W2164604678","https://openalex.org/W2165203788","https://openalex.org/W2167413626","https://openalex.org/W6632607177","https://openalex.org/W6678819597","https://openalex.org/W6804434002"],"related_works":[],"abstract_inverted_index":{"Four":[0],"quantum":[1,11,78],"code":[2],"constructions":[3,73],"generating":[4],"several":[5],"new":[6,75],"families":[7,76],"of":[8,44,52,65,77],"good":[9],"nonbinary":[10,45],"nonprimitive":[12,33,53,68],"nonnarrow-sense,":[13],"Bose-Chaudhuri-Hocquenghem":[14,34,55,70],"codes,":[15],"are":[16,24,82],"presented":[17],"in":[18,88],"this":[19],"paper.":[20],"The":[21,36,57],"first":[22],"two":[23,32],"based":[25,40],"on":[26,41],"Calderbank-Shor-Steane":[27],"(CSS)":[28],"construction":[29,59],"derived":[30,61],"from":[31,62],"codes.":[35,56,71],"third":[37],"one":[38],"is":[39,60],"Steane's":[42],"enlargement":[43],"CSS":[46],"codes":[47,79],"applied":[48],"to":[49],"suitable":[50,63],"subfamilies":[51,64],"nonnarrow-sense":[54,69],"fourth":[58],"Hermitian":[66],"dual-containing":[67],"These":[72],"generate":[74],"whose":[80],"parameters":[81],"better":[83],"than":[84],"the":[85,89],"ones":[86],"available":[87],"literature.":[90]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2016-06-24T00:00:00"}