{"id":"https://openalex.org/W2082324146","doi":"https://doi.org/10.1109/isit.2013.6620276","title":"Complexity of dependencies in bounded domains, Armstrong Codes, and generalizations","display_name":"Complexity of dependencies in bounded domains, Armstrong Codes, and generalizations","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2082324146","doi":"https://doi.org/10.1109/isit.2013.6620276","mag":"2082324146"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2013.6620276","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620276","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-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/A5088037430","display_name":"Yeow Meng Chee","orcid":"https://orcid.org/0000-0001-7823-8068"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Yeow Meng Chee","raw_affiliation_strings":["School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","[Sch. of Phys. & Math. Sci., Nanyang Technol. Univ., Singapore, Singapore]"],"affiliations":[{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"[Sch. of Phys. & Math. Sci., Nanyang Technol. Univ., Singapore, Singapore]","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100323550","display_name":"Hui Zhang","orcid":"https://orcid.org/0000-0003-2989-7547"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Hui Zhang","raw_affiliation_strings":["School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","[Sch. of Phys. & Math. Sci., Nanyang Technol. Univ., Singapore, Singapore]"],"affiliations":[{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"[Sch. of Phys. & Math. Sci., Nanyang Technol. Univ., Singapore, Singapore]","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046105120","display_name":"Xiande Zhang","orcid":"https://orcid.org/0000-0003-4234-3610"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Xiande Zhang","raw_affiliation_strings":["School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","[Sch. of Phys. & Math. Sci., Nanyang Technol. Univ., Singapore, Singapore]"],"affiliations":[{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"[Sch. of Phys. & Math. Sci., Nanyang Technol. Univ., Singapore, Singapore]","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088037430"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":0.4942,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.77160382,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"37","issue":null,"first_page":"499","last_page":"503"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9886999726295471,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9886999726295471,"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/T11130","display_name":"Coding theory and cryptography","score":0.9769999980926514,"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/T10237","display_name":"Cryptography and Data Security","score":0.9753999710083008,"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/bounded-function","display_name":"Bounded function","score":0.7252394556999207},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.6671849489212036},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5995698571205139},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5993174910545349},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.5640072822570801},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5435932874679565},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5275313854217529},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5084282755851746},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4851413667201996},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4478422999382019},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.4018326699733734},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2861003279685974},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21048295497894287},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.11546894907951355}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7252394556999207},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.6671849489212036},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5995698571205139},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5993174910545349},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.5640072822570801},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5435932874679565},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5275313854217529},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5084282755851746},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4851413667201996},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4478422999382019},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.4018326699733734},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2861003279685974},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21048295497894287},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.11546894907951355},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2013.6620276","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620276","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.718.4119","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.718.4119","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www1.spms.ntu.edu.sg/%7Eymchee/papers/armstrong.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320709","display_name":"National Research Foundation Singapore","ror":"https://ror.org/03cpyc314"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W43035074","https://openalex.org/W105112013","https://openalex.org/W183654279","https://openalex.org/W1511539374","https://openalex.org/W1549217443","https://openalex.org/W1870408408","https://openalex.org/W1887159863","https://openalex.org/W1985876493","https://openalex.org/W1993714359","https://openalex.org/W1998512182","https://openalex.org/W2002761806","https://openalex.org/W2023663289","https://openalex.org/W2025465674","https://openalex.org/W2040285094","https://openalex.org/W2047921246","https://openalex.org/W2088679936","https://openalex.org/W2091669764","https://openalex.org/W2125223317","https://openalex.org/W2163978560","https://openalex.org/W2165062870","https://openalex.org/W2479722786","https://openalex.org/W2748892594","https://openalex.org/W2955543650","https://openalex.org/W4232172855","https://openalex.org/W4234718395","https://openalex.org/W4285719527","https://openalex.org/W6601749026","https://openalex.org/W6604261087","https://openalex.org/W6607385831","https://openalex.org/W6743140624","https://openalex.org/W6765138275"],"related_works":["https://openalex.org/W2943247777","https://openalex.org/W2740543340","https://openalex.org/W2371167013","https://openalex.org/W1582340598","https://openalex.org/W2794545997","https://openalex.org/W2584980534","https://openalex.org/W2182731056","https://openalex.org/W66917582","https://openalex.org/W1600949677","https://openalex.org/W2779867339"],"abstract_inverted_index":{"The":[0],"study":[1],"of":[2,10,13,33,49,99,116],"Armstrong":[3,105,118],"codes":[4,106,119],"is":[5,29,84],"motivated":[6],"by":[7],"the":[8,66],"problem":[9],"understanding":[11],"complexities":[12],"dependencies":[14],"in":[15,120],"relational":[16],"database":[17],"systems,":[18],"where":[19],"attributes":[20],"have":[21],"bounded":[22],"domains.":[23],"A":[24],"(q,":[25],"k,":[26],"n)-Armstrong":[27],"code":[28,32,73],"a":[30,72,97],"q-ary":[31],"length":[34],"n":[35,40,68],"with":[36,91],"minimum":[37],"Hamming":[38],"distance":[39],"-":[41,51,82],"k":[42,50],"+":[43],"1,":[44],"and":[45,112],"for":[46,69,86,107],"any":[47],"set":[48],"1":[52,83],"coordinates":[53],"there":[54],"exist":[55],"two":[56],"codewords":[57],"that":[58],"agree":[59],"exactly":[60],"there.":[61],"Let":[62],"f(q,":[63,78],"k)":[64],"be":[65],"maximum":[67],"which":[70],"such":[71],"exists.":[74],"In":[75],"this":[76,121],"paper,":[77],"3)":[79],"=":[80],"3q":[81],"determined":[85],"all":[87],"q":[88],"\u2265":[89],"5":[90],"three":[92],"possible":[93],"exceptions.":[94],"This":[95],"disproves":[96],"conjecture":[98],"Sali.":[100],"Further,":[101],"we":[102],"introduce":[103],"generalized":[104],"branching,":[108],"or":[109],"(s,":[110],"t)-dependencies":[111],"construct":[113],"several":[114],"classes":[115],"optimal":[117],"more":[122],"general":[123],"setting.":[124]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
