{"id":"https://openalex.org/W1988374660","doi":"https://doi.org/10.1137/06067852x","title":"Constant Weight Conflict-Avoiding Codes","display_name":"Constant Weight Conflict-Avoiding Codes","publication_year":2007,"publication_date":"2007-12-12","ids":{"openalex":"https://openalex.org/W1988374660","doi":"https://doi.org/10.1137/06067852x","mag":"1988374660"},"language":"en","primary_location":{"id":"doi:10.1137/06067852x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/06067852x","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055835953","display_name":"Koji Momihara","orcid":null},"institutions":[{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Koji Momihara","raw_affiliation_strings":["#N##TAB##TAB##TAB##TAB# Nagoya University#N##TAB##TAB##TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Nagoya University#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I60134161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109881851","display_name":"Meinard M\u00fcller","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Meinard M\u00fcller","raw_affiliation_strings":["University of Bonn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bonn","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073957086","display_name":"Junya Satoh","orcid":null},"institutions":[{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Junya Satoh","raw_affiliation_strings":["#N##TAB##TAB##TAB##TAB# Nagoya University#N##TAB##TAB##TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Nagoya University#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I60134161"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112260612","display_name":"Masakazu Jimbo","orcid":null},"institutions":[{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masakazu Jimbo","raw_affiliation_strings":["#N##TAB##TAB##TAB##TAB# Nagoya University#N##TAB##TAB##TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Nagoya University#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I60134161"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.3596,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.9411446,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"21","issue":"4","first_page":"959","last_page":"979"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9998999834060669,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9980000257492065,"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/combinatorics","display_name":"Combinatorics","score":0.7529999017715454},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7476229667663574},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.6905272603034973},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6471009850502014},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5888542532920837},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5729645490646362},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.5630959272384644},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4683273136615753},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43805426359176636},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.19194859266281128},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09948071837425232},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09203970432281494}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7529999017715454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7476229667663574},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.6905272603034973},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6471009850502014},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5888542532920837},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5729645490646362},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.5630959272384644},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4683273136615753},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43805426359176636},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.19194859266281128},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09948071837425232},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09203970432281494},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/06067852x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/06067852x","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.421.7572","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.421.7572","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mpi-inf.mpg.de/~mmueller/publications/2007_MomiharaMuellerSatohJimbo_ConflictAvoidingCodes_SIAM.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W117039097","https://openalex.org/W186304936","https://openalex.org/W1578772172","https://openalex.org/W1589032548","https://openalex.org/W1592261758","https://openalex.org/W1965142549","https://openalex.org/W2024130166","https://openalex.org/W2060831193","https://openalex.org/W2099505289","https://openalex.org/W2113044244","https://openalex.org/W2120058847","https://openalex.org/W2122942137","https://openalex.org/W2133322225","https://openalex.org/W2161111517"],"related_works":["https://openalex.org/W2070252991","https://openalex.org/W2807449856","https://openalex.org/W238211858","https://openalex.org/W2941201715","https://openalex.org/W2803761277","https://openalex.org/W4297742300","https://openalex.org/W4295096867","https://openalex.org/W2196131019","https://openalex.org/W2112041331","https://openalex.org/W4298824844"],"abstract_inverted_index":{"A":[0,49,65],"conflict-avoiding":[1],"code":[2,53,135],"(CAC)":[3],"C":[4,36],"of":[5,14,17,80,89,112,125,137],"length":[6,18],"n":[7,19,57],"with":[8,51],"weight":[9,21,116,129],"k":[10,22,59],"is":[11,60,104,143],"a":[12,75],"family":[13],"binary":[15],"sequences":[16],"and":[20,33,37,58,96,106,109,118,148],"satisfying":[23,139],"$\\sum_{0\\le":[24],"t\\le":[25],"n-1}x_{it}x_{j,t+s}\\le":[26],"\\lambda$":[27],"for":[28,38,55,70,115,127],"any":[29,39],"distinct":[30],"codewords":[31],"$x_i=(x_{i0},x_{i1},\\ldots,x_{i,n-1})$":[32],"$x_j=(x_{j0},x_{j1},\\ldots,x_{j,n-1})$":[34],"in":[35],"integer":[40],"s,":[41],"where":[42],"the":[43,85,101,133],"subscripts":[44],"are":[45,120],"taken":[46],"modulo":[47],"n.":[48],"CAC":[50,66,83],"maximum":[52,134],"size":[54,136],"given":[56],"said":[61],"to":[62,92],"be":[63],"optimal.":[64],"has":[67],"been":[68],"studied":[69],"sending":[71],"messages":[72],"correctly":[73],"through":[74,145],"multiple-access":[76],"channel.":[77],"The":[78],"use":[79],"an":[81],"optimal":[82,113],"enables":[84],"largest":[86],"possible":[87],"number":[88,146],"potential":[90],"users":[91],"transmit":[93],"information":[94],"efficiently":[95],"reliably.":[97],"In":[98,131],"this":[99],"paper,":[100],"case":[102],"$\\lambda=1$":[103],"treated,":[105],"various":[107],"direct":[108],"recursive":[110],"constructions":[111,124],"CACs":[114,126,138],"$k=4$":[117],"5":[119],"obtained":[121],"by":[122],"providing":[123],"general":[128],"k.":[130],"particular,":[132],"certain":[140],"sufficient":[141],"conditions":[142],"determined":[144],"theoretical":[147],"combinatorial":[149],"approaches.":[150]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
