{"id":"https://openalex.org/W2101397960","doi":"https://doi.org/10.1109/isit.2009.5205916","title":"Searching for high-rate convolutional codes via binary syndrome trellises","display_name":"Searching for high-rate convolutional codes via binary syndrome trellises","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2101397960","doi":"https://doi.org/10.1109/isit.2009.5205916","mag":"2101397960"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2009.5205916","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205916","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://lup.lub.lu.se/record/1369521","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107233585","display_name":"Florian Hug","orcid":null},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Florian Hug","raw_affiliation_strings":["Dept. of Electrical and Information Technology, Lund University, Lund, Sweden","Dept. of Electrical and Information Technology, Lund University, P. O. Box 118, SE-22100, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Information Technology, Lund University, Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]},{"raw_affiliation_string":"Dept. of Electrical and Information Technology, Lund University, P. O. Box 118, SE-22100, Sweden","institution_ids":["https://openalex.org/I187531555"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018999589","display_name":"Irina E. Bocharova","orcid":"https://orcid.org/0000-0002-6460-4626"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]},{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Irina E. Bocharova","raw_affiliation_strings":["Dept. of Information Systems, St. Petersburg Univ. of Information Technologies, Mechanics and Optics, St. Petersburg, Russia","Department of Information Systems, St. Petersburg University of Information Technologies, Mechanics and Optics, 197101, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Information Systems, St. Petersburg Univ. of Information Technologies, Mechanics and Optics, St. Petersburg, Russia","institution_ids":["https://openalex.org/I173089394","https://openalex.org/I172901346"]},{"raw_affiliation_string":"Department of Information Systems, St. Petersburg University of Information Technologies, Mechanics and Optics, 197101, Russia","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044516030","display_name":"Rolf Johannesson","orcid":null},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Rolf Johannesson","raw_affiliation_strings":["Lunds Universitet, Lund, SE","Dept. of Electrical and Information Technology, Lund University, P. O. Box 118, SE-22100, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lunds Universitet, Lund, SE","institution_ids":["https://openalex.org/I187531555"]},{"raw_affiliation_string":"Dept. of Electrical and Information Technology, Lund University, P. O. Box 118, SE-22100, Sweden","institution_ids":["https://openalex.org/I187531555"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088880021","display_name":"Boris D. Kudryashov","orcid":"https://orcid.org/0000-0002-5865-5283"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]},{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Boris D. Kudryashov","raw_affiliation_strings":["Dept. of Information Systems, St. Petersburg Univ. of Information Technologies, Mechanics and Optics, St. Petersburg, Russia","Department of Information Systems, St. Petersburg University of Information Technologies, Mechanics and Optics, 197101, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Information Systems, St. Petersburg Univ. of Information Technologies, Mechanics and Optics, St. Petersburg, Russia","institution_ids":["https://openalex.org/I173089394","https://openalex.org/I172901346"]},{"raw_affiliation_string":"Department of Information Systems, St. Petersburg University of Information Technologies, Mechanics and Optics, 197101, Russia","institution_ids":["https://openalex.org/I172901346"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.7178,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.91092853,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"25","issue":null,"first_page":"1358","last_page":"1362"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/convolutional-code","display_name":"Convolutional code","score":0.7354884147644043},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6452856063842773},{"id":"https://openalex.org/keywords/trellis","display_name":"Trellis (graph)","score":0.5790189504623413},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46612998843193054},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4608108699321747},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45546990633010864},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4241785705089569},{"id":"https://openalex.org/keywords/binary-code","display_name":"Binary code","score":0.4215930104255676},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4163548946380615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3250487744808197},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.24357882142066956},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.12676376104354858}],"concepts":[{"id":"https://openalex.org/C157899210","wikidata":"https://www.wikidata.org/wiki/Q1395022","display_name":"Convolutional code","level":3,"score":0.7354884147644043},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6452856063842773},{"id":"https://openalex.org/C2781235587","wikidata":"https://www.wikidata.org/wiki/Q7838009","display_name":"Trellis (graph)","level":3,"score":0.5790189504623413},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46612998843193054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4608108699321747},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45546990633010864},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4241785705089569},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.4215930104255676},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4163548946380615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3250487744808197},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.24357882142066956},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12676376104354858}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2009.5205916","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205916","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:lup.lub.lu.se:601dc7ef-083f-42b6-8fa3-332e14478bfb","is_oa":true,"landing_page_url":"https://lup.lub.lu.se/record/1369521","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:lup.lub.lu.se:601dc7ef-083f-42b6-8fa3-332e14478bfb","is_oa":true,"landing_page_url":"https://lup.lub.lu.se/record/1369521","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","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":17,"referenced_works":["https://openalex.org/W1836967236","https://openalex.org/W1989118659","https://openalex.org/W1991162105","https://openalex.org/W1996491504","https://openalex.org/W2015635521","https://openalex.org/W2040621750","https://openalex.org/W2076886566","https://openalex.org/W2100350887","https://openalex.org/W2101114090","https://openalex.org/W2136438857","https://openalex.org/W2142384583","https://openalex.org/W2149902106","https://openalex.org/W2155007889","https://openalex.org/W2157272487","https://openalex.org/W2163727784","https://openalex.org/W2168226105","https://openalex.org/W4242536966"],"related_works":["https://openalex.org/W2050807314","https://openalex.org/W2101868111","https://openalex.org/W2141514624","https://openalex.org/W2164296051","https://openalex.org/W2154949486","https://openalex.org/W1996491504","https://openalex.org/W2183547074","https://openalex.org/W4231075456","https://openalex.org/W2010231960","https://openalex.org/W3008715415"],"abstract_inverted_index":{"Rate":[0],"R":[1,100],"=":[2,23,36,40,79,101,106],"(c-1)/c":[3],"convolutional":[4,110],"codes":[5,111],"of":[6,21,34],"constraint":[7],"length":[8],"\u03bd":[9,24,37,41],"can":[10],"be":[11],"represented":[12],"by":[13,26],"conventional":[14,113],"syndrome":[15,28,72,114,118],"trellises":[16,29,73,115,119,142],"with":[17,30,74,120],"a":[18,31],"state":[19,32,76,122,137],"complexity":[20,33,77,138],"s":[22,35,39,78],"or":[25,38],"binary":[27,71,117,141],"+":[42],"1,":[43],"which":[44],"corresponds":[45],"to":[46,85,91,134],"at":[47,54],"most":[48],"2":[49],"<sup":[50],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[51],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">s</sup>":[52],"states":[53],"each":[55],"trellis":[56],"level.":[57],"It":[58],"is":[59,83,143],"shown":[60],"that":[61,127],"if":[62],"the":[63,128,135],"parity-check":[64,87],"polynomials":[65],"fulfill":[66],"certain":[67],"conditions,":[68],"there":[69],"exist":[70],"optimum":[75,96,121,136],"\u03bd.":[80],"The":[81],"BEAST":[82],"modified":[84],"handle":[86],"matrices":[88],"and":[89,116],"used":[90],"generate":[92],"code":[93],"tables":[94],"for":[95,112,140],"free":[97],"distance":[98,131],"rate":[99],"(c":[102],"-":[103],"1)=c,":[104],"c":[105],"3;":[107],"4;":[108],"5,":[109],"complexity.":[123],"These":[124],"results":[125],"show":[126],"loss":[129],"in":[130],"properties":[132],"due":[133],"restriction":[139],"typically":[144],"negligible.":[145]},"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}