{"id":"https://openalex.org/W7220776296","doi":null,"title":"Lower Bounds on Stopping Distance of Linear Codes and Their Applications","display_name":"Lower Bounds on Stopping Distance of Linear Codes and Their Applications","publication_year":2005,"publication_date":"2005-09-28","ids":{"openalex":"https://openalex.org/W7220776296"},"language":"en","primary_location":{"id":"pmh:oai:www.ideals.illinois.edu:2142/132183","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/2142/132183","pdf_url":"https://www.ideals.illinois.edu/items/139184/bitstreams/450090/data.pdf","source":{"id":"https://openalex.org/S4306401358","display_name":"Illinois Digital Environment for Access to Learning and Scholarship (University of Illinois at Urbana-Champaign)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801919071","host_organization_name":"University of Illinois System","host_organization_lineage":["https://openalex.org/I2801919071"],"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":"Conference Paper"},"volume":null,"type":"conference-paper","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.ideals.illinois.edu/items/139184/bitstreams/450090/data.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015787560","display_name":"Mingrui Zhu","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhu, Mingrui","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5052427843","display_name":"K.M. Chugg","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chugg, Keith M.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.42238835,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"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/T11130","display_name":"Coding theory and cryptography","score":0.8925999999046326,"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":0.8925999999046326,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.09860000014305115,"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"}},{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.000699999975040555,"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/stopping-distance","display_name":"stopping distance","score":0.9300000071525574},{"id":"https://openalex.org/keywords/linear-codes","display_name":"linear codes","score":0.9279999732971191},{"id":"https://openalex.org/keywords/lower-bounds","display_name":"lower bounds","score":0.9210000038146973},{"id":"https://openalex.org/keywords/stopping-sets","display_name":"stopping sets","score":0.546999990940094},{"id":"https://openalex.org/keywords/error-correcting-codes","display_name":"error-correcting codes","score":0.7599999904632568},{"id":"https://openalex.org/keywords/code-design","display_name":"code design","score":0.421999990940094}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4717000126838684},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42820000648498535},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3652999997138977},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3458000123500824},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.33169999718666077},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3296999931335449},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.29600000381469727},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.2906000018119812},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.25029999017715454},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.24619999527931213}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:www.ideals.illinois.edu:2142/132183","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/2142/132183","pdf_url":"https://www.ideals.illinois.edu/items/139184/bitstreams/450090/data.pdf","source":{"id":"https://openalex.org/S4306401358","display_name":"Illinois Digital Environment for Access to Learning and Scholarship (University of Illinois at Urbana-Champaign)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801919071","host_organization_name":"University of Illinois System","host_organization_lineage":["https://openalex.org/I2801919071"],"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":"Conference Paper"}],"best_oa_location":{"id":"pmh:oai:www.ideals.illinois.edu:2142/132183","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/2142/132183","pdf_url":"https://www.ideals.illinois.edu/items/139184/bitstreams/450090/data.pdf","source":{"id":"https://openalex.org/S4306401358","display_name":"Illinois Digital Environment for Access to Learning and Scholarship (University of Illinois at Urbana-Champaign)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801919071","host_organization_name":"University of Illinois System","host_organization_lineage":["https://openalex.org/I2801919071"],"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":"Conference Paper"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220776296.pdf","grobid_xml":"https://content.openalex.org/works/W7220776296.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2167696711","https://openalex.org/W2115995841","https://openalex.org/W2950727751","https://openalex.org/W103638934","https://openalex.org/W2104459449","https://openalex.org/W2146422204","https://openalex.org/W2015527701","https://openalex.org/W7095983833","https://openalex.org/W1555985201","https://openalex.org/W2123180096"],"abstract_inverted_index":{"One":[0],"of":[1,16,37,48,74],"the":[2,8,14,35,44,49,75],"most":[3],"important":[4],"open":[5],"problems":[6],"in":[7],"communication":[9],"society":[10],"is":[11,78],"to":[12],"determine":[13],"performance":[15],"iterative":[17],"message":[18],"passing":[19],"algorithms":[20],"over":[21],"loopy":[22,30],"graphs.Some":[23],"recent":[24],"work":[25],"addresses":[26],"this":[27],"problem":[28],"for":[29],"Tanner":[31,55],"graphs":[32],"by":[33],"introducing":[34],"concepts":[36],"stopping":[38,41,63,72],"distance":[39],"and":[40,46],"redundancy.By":[42],"analyzing":[43],"eigenvalues":[45],"eigenvectors":[47],"normalized":[50],"incidence":[51],"matrix":[52],"representing":[53],"a":[54],"graph,":[56],"we":[57],"derive":[58],"lower":[59,66],"bounds":[60],"on":[61,71],"its":[62],"distance.Using":[64],"these":[65],"bounds,":[67],"an":[68],"upper":[69],"bound":[70],"redundancy":[73],"difference-set":[76],"codes":[77],"derived":[79],"as":[80],"well.":[81]},"counts_by_year":[],"updated_date":"2026-10-18T09:31:52.927876","created_date":"2026-10-07T00:00:00"}