{"id":"https://openalex.org/W2153823223","doi":"https://doi.org/10.1109/isit.2005.1523493","title":"Quantum block and convolutional codes from self-orthogonal product codes","display_name":"Quantum block and convolutional codes from self-orthogonal product codes","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2153823223","doi":"https://doi.org/10.1109/isit.2005.1523493","mag":"2153823223"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2005.1523493","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2005.1523493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. International Symposium on Information Theory, 2005. ISIT 2005.","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/quant-ph/0703181","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/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"M. Grassl","raw_affiliation_strings":["Institut f\u00fcr Algorithmen und Kognitive Systeme, Arbeitsgruppe Quantum Computing, Fakult\u00e4t f\u00fcr Informatik, Universit\u00e4t Karlsruhe, Karlsruhe, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algorithmen und Kognitive Systeme, Arbeitsgruppe Quantum Computing, Fakult\u00e4t f\u00fcr Informatik, Universit\u00e4t Karlsruhe, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109086831","display_name":"Martin R\u00f6tteler","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. 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/I102335020"],"apc_list":null,"apc_paid":null,"fwci":3.1995,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.92513088,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1018","last_page":"1022"},"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9976000189781189,"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"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9970999956130981,"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/quantum-convolutional-code","display_name":"Quantum convolutional code","score":0.7579531073570251},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.7297298908233643},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.6855396628379822},{"id":"https://openalex.org/keywords/serial-concatenated-convolutional-codes","display_name":"Serial concatenated convolutional codes","score":0.6322377920150757},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.6285915374755859},{"id":"https://openalex.org/keywords/turbo-code","display_name":"Turbo code","score":0.6248968243598938},{"id":"https://openalex.org/keywords/convolutional-code","display_name":"Convolutional code","score":0.5947411060333252},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4817531108856201},{"id":"https://openalex.org/keywords/expander-code","display_name":"Expander code","score":0.4440973699092865},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40198808908462524},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33310946822166443},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3278105556964874},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.1034596860408783}],"concepts":[{"id":"https://openalex.org/C69497775","wikidata":"https://www.wikidata.org/wiki/Q7269025","display_name":"Quantum convolutional code","level":5,"score":0.7579531073570251},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.7297298908233643},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.6855396628379822},{"id":"https://openalex.org/C33529081","wikidata":"https://www.wikidata.org/wiki/Q18378194","display_name":"Serial concatenated convolutional codes","level":5,"score":0.6322377920150757},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.6285915374755859},{"id":"https://openalex.org/C114504821","wikidata":"https://www.wikidata.org/wiki/Q2164281","display_name":"Turbo code","level":3,"score":0.6248968243598938},{"id":"https://openalex.org/C157899210","wikidata":"https://www.wikidata.org/wiki/Q1395022","display_name":"Convolutional code","level":3,"score":0.5947411060333252},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4817531108856201},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.4440973699092865},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40198808908462524},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33310946822166443},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3278105556964874},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.1034596860408783}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/isit.2005.1523493","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2005.1523493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. International Symposium on Information Theory, 2005. ISIT 2005.","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:quant-ph/0703181","is_oa":true,"landing_page_url":"http://arxiv.org/abs/quant-ph/0703181","pdf_url":"https://arxiv.org/pdf/quant-ph/0703181","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.252.7157","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.252.7157","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/quant-ph/0703181v1.pdf","raw_type":"text"},{"id":"pmh:oai:cds.cern.ch:1025466","is_oa":false,"landing_page_url":"http://cds.cern.ch/record/1025466","pdf_url":null,"source":{"id":"https://openalex.org/S2765065519","display_name":"CERN Bulletin","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4327876864","host_organization_name":"CERN Publications","host_organization_lineage":["https://openalex.org/P4327876864"],"host_organization_lineage_names":["CERN Publications"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:arXiv.org:quant-ph/0703181","is_oa":true,"landing_page_url":"http://arxiv.org/abs/quant-ph/0703181","pdf_url":"https://arxiv.org/pdf/quant-ph/0703181","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":[{"id":"https://metadata.un.org/sdg/8","score":0.41999998688697815,"display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1581232847","https://openalex.org/W1593683169","https://openalex.org/W1606480398","https://openalex.org/W1744773624","https://openalex.org/W1976677460","https://openalex.org/W1981162221","https://openalex.org/W1984788479","https://openalex.org/W2035258074","https://openalex.org/W2042474962","https://openalex.org/W2061680022","https://openalex.org/W2076107177","https://openalex.org/W2114207424","https://openalex.org/W2124584433","https://openalex.org/W2143438504","https://openalex.org/W2532838295","https://openalex.org/W3106206450","https://openalex.org/W6635310770","https://openalex.org/W6636396655","https://openalex.org/W6660939691"],"related_works":["https://openalex.org/W1996737726","https://openalex.org/W4239415679","https://openalex.org/W2126275884","https://openalex.org/W792671342","https://openalex.org/W2075640816","https://openalex.org/W2015101254","https://openalex.org/W4230255614","https://openalex.org/W1837854271","https://openalex.org/W1580452828","https://openalex.org/W190540493"],"abstract_inverted_index":{"We":[0,26],"present":[1],"a":[2,82,96,103],"construction":[3,61],"of":[4,32,95],"self-orthogonal":[5],"codes":[6,21,34,42],"using":[7,43],"product":[8,60,94],"codes.":[9,25],"From":[10],"the":[11,30,59,64,67,93],"resulting":[12],"codes,":[13],"one":[14],"can":[15,37,74],"construct":[16],"both":[17],"block":[18],"quantum":[19,23,40,77],"error-correcting":[20,41],"and":[22],"convolutional":[24,33],"show":[27,71,80],"that":[28,58,72,81],"from":[29],"examples":[31],"found,":[35],"we":[36,70,79],"derive":[38],"ordinary":[39],"tail-biting":[44],"with":[45,102],"parameters":[46],"[42N,":[47],"24N,":[48],"3]":[49,86],"<sub":[50,87,99],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[51,88,100],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[52,89,101],".":[53],"While":[54],"it":[55],"is":[56,90],"known":[57],"cannot":[62],"improve":[63],"rate":[65],"in":[66],"classical":[68],"case,":[69],"this":[73],"happen":[75],"for":[76],"codes:":[78],"code":[83,97,105],"[15,":[84],"7,":[85],"obtained":[91],"by":[92],"[5,1,3]":[98],"suitable":[104]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":6},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}