{"id":"https://openalex.org/W2168076560","doi":"https://doi.org/10.1109/isit.2008.4594996","title":"Quantum Goethals-Preparata codes","display_name":"Quantum Goethals-Preparata codes","publication_year":2008,"publication_date":"2008-07-01","ids":{"openalex":"https://openalex.org/W2168076560","doi":"https://doi.org/10.1109/isit.2008.4594996","mag":"2168076560"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2008.4594996","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2008.4594996","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0801.2150","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036635049","display_name":"Markus Grassl","orcid":"https://orcid.org/0000-0002-3720-5195"},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"funder","lineage":["https://openalex.org/I138211613"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Markus Grassl","raw_affiliation_strings":["Institute for Quantum Optics & Quantum Information, Austrian Academy of Sciences, Innsbruck, Austria"],"affiliations":[{"raw_affiliation_string":"Institute for Quantum Optics & Quantum Information, Austrian Academy of Sciences, Innsbruck, Austria","institution_ids":["https://openalex.org/I138211613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109086831","display_name":"Martin R\u00f6tteler","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Martin Rotteler","raw_affiliation_strings":["NEC Laboratories of America, Inc., Princeton, NJ, USA"],"affiliations":[{"raw_affiliation_string":"NEC Laboratories of America, Inc., Princeton, NJ, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036635049"],"corresponding_institution_ids":["https://openalex.org/I138211613"],"apc_list":null,"apc_paid":null,"fwci":5.8659,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.9595776,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":1.0,"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":1.0,"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":0.9980999827384949,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/dimension","display_name":"Dimension (graph theory)","score":0.724461555480957},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5140413045883179},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.4921266436576843},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3940547704696655},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38856685161590576},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3516271710395813}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.724461555480957},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5140413045883179},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.4921266436576843},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3940547704696655},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38856685161590576},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3516271710395813}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2008.4594996","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2008.4594996","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:0801.2150","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0801.2150","pdf_url":"https://arxiv.org/pdf/0801.2150","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.245.6578","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.245.6578","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0801.2150v1.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0801.2150","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0801.2150","pdf_url":"https://arxiv.org/pdf/0801.2150","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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/W1662276872","https://openalex.org/W1681162693","https://openalex.org/W1980903264","https://openalex.org/W1991401790","https://openalex.org/W1998417411","https://openalex.org/W1999270946","https://openalex.org/W2014706286","https://openalex.org/W2038681062","https://openalex.org/W2063592138","https://openalex.org/W2066583820","https://openalex.org/W2069711632","https://openalex.org/W2091331782","https://openalex.org/W2114207424","https://openalex.org/W2135537429","https://openalex.org/W2138183898","https://openalex.org/W2167413626","https://openalex.org/W2169662449","https://openalex.org/W6637022858","https://openalex.org/W6637501592","https://openalex.org/W6645900261"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2171635774","https://openalex.org/W2129090975"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2],"family":[3],"of":[4,29,39,46],"non-additive":[5],"quantum":[6,44],"codes":[7,13,31,45],"based":[8],"on":[9],"Goethals":[10],"and":[11,49],"Preparata":[12],"with":[14],"parameters":[15],"((2":[16],"<sup":[17,22],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[18,23],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">m</sup>":[19],",":[20,25],"2":[21],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2m-5m+1</sup>":[24],"8)).":[26],"The":[27],"dimension":[28,38],"these":[30],"is":[32],"eight":[33],"times":[34],"higher":[35],"than":[36],"the":[37,40],"best":[41],"known":[42],"additive":[43],"equal":[47],"length":[48],"minimum":[50],"distance.":[51]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}