{"id":"https://openalex.org/W2074719346","doi":"https://doi.org/10.1017/s0963548314000509","title":"Optimal Codes in the Enomoto-Katona Space","display_name":"Optimal Codes in the Enomoto-Katona Space","publication_year":2014,"publication_date":"2014-10-09","ids":{"openalex":"https://openalex.org/W2074719346","doi":"https://doi.org/10.1017/s0963548314000509","mag":"2074719346"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548314000509","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548314000509","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/72235767AE90566C99241908C0C9A346/S0963548314000509a.pdf/div-class-title-optimal-codes-in-the-enomoto-katona-space-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/72235767AE90566C99241908C0C9A346/S0963548314000509a.pdf/div-class-title-optimal-codes-in-the-enomoto-katona-space-div.pdf","any_repository_has_fulltext":true},"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":false,"raw_author_name":"YEOW MENG CHEE","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore (e-mail:","Nanyang Technological University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore (e-mail:","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Nanyang Technological University","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083157397","display_name":"Han Mao Kiah","orcid":"https://orcid.org/0000-0001-5611-0848"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I183874917","display_name":"Urbana University","ror":"https://ror.org/04kp3hw27","country_code":"US","type":"education","lineage":["https://openalex.org/I183874917"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"HAN MAO KIAH","raw_affiliation_strings":["Coordinated Science Lab, University of Illinois, Urbana-Champaign, 1308 W. Main Street, Urbana, IL 61801, USA (e-mail:","#N#\u2004University of Illinois"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Lab, University of Illinois, Urbana-Champaign, 1308 W. Main Street, Urbana, IL 61801, USA (e-mail:","institution_ids":["https://openalex.org/I157725225","https://openalex.org/I183874917"]},{"raw_affiliation_string":"#N#\u2004University of Illinois","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100323546","display_name":"Hui Zhang","orcid":"https://orcid.org/0000-0003-2569-1824"},"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":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore (e-mail:","Nanyang Technological University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore (e-mail:","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Nanyang Technological University","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":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore (e-mail:","Nanyang Technological University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore (e-mail:","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Nanyang Technological University","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8284,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.81326492,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"24","issue":"2","first_page":"382","last_page":"406"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9965999722480774,"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":0.9965999722480774,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9939000010490417,"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/T10849","display_name":"Finite Group Theory Research","score":0.9763000011444092,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/congruence","display_name":"Congruence (geometry)","score":0.6437643766403198},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5818656086921692},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5360257029533386},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5307061076164246},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5147983431816101},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45462632179260254},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.42668619751930237},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4185831844806671},{"id":"https://openalex.org/keywords/complete-metric-space","display_name":"Complete metric space","score":0.4173874258995056},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17041465640068054}],"concepts":[{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.6437643766403198},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5818656086921692},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5360257029533386},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5307061076164246},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5147983431816101},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45462632179260254},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.42668619751930237},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4185831844806671},{"id":"https://openalex.org/C93361540","wikidata":"https://www.wikidata.org/wiki/Q848569","display_name":"Complete metric space","level":3,"score":0.4173874258995056},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17041465640068054},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1017/s0963548314000509","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548314000509","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/72235767AE90566C99241908C0C9A346/S0963548314000509a.pdf/div-class-title-optimal-codes-in-the-enomoto-katona-space-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:dr.ntu.edu.sg:10356/103370","is_oa":true,"landing_page_url":"http://hdl.handle.net/10220/24475","pdf_url":"https://dr.ntu.edu.sg/bitstream/10356/103370/1/Optimal%20Codes%20in%20the%20Enomoto%e2%80%93Katona%20Space.pdf","source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"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":"Journal Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.718.8009","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.718.8009","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/enomotokatona.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.720.6291","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.720.6291","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/EKcodes.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.828.1064","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.828.1064","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www3.ntu.edu.sg/home/hmkiah/docs/papers/EK-codes.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1017/s0963548314000509","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548314000509","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/72235767AE90566C99241908C0C9A346/S0963548314000509a.pdf/div-class-title-optimal-codes-in-the-enomoto-katona-space-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2946405534","display_name":null,"funder_award_id":"11301503","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5302094078","display_name":null,"funder_award_id":"NRF-CRP2-2007-03","funder_id":"https://openalex.org/F4320320709","funder_display_name":"National Research Foundation Singapore"},{"id":"https://openalex.org/G89056297","display_name":null,"funder_award_id":"CRP2-2007-03","funder_id":"https://openalex.org/F4320320709","funder_display_name":"National Research Foundation Singapore"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320320709","display_name":"National Research Foundation Singapore","ror":"https://ror.org/03cpyc314"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2074719346.pdf","grobid_xml":"https://content.openalex.org/works/W2074719346.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W43035074","https://openalex.org/W1870408408","https://openalex.org/W1965142549","https://openalex.org/W1993714359","https://openalex.org/W1995201633","https://openalex.org/W1998512182","https://openalex.org/W2023663289","https://openalex.org/W2047921246","https://openalex.org/W2051968426","https://openalex.org/W2055543858","https://openalex.org/W2091669764","https://openalex.org/W2093699365","https://openalex.org/W2100466276","https://openalex.org/W2142588078","https://openalex.org/W2165401350","https://openalex.org/W2165467455","https://openalex.org/W2185907055","https://openalex.org/W2748892594","https://openalex.org/W2920061280","https://openalex.org/W2951316515","https://openalex.org/W4243930103","https://openalex.org/W4285719527","https://openalex.org/W6664320706","https://openalex.org/W6674807027","https://openalex.org/W6684239258","https://openalex.org/W6743140624"],"related_works":["https://openalex.org/W2045467581","https://openalex.org/W1492993649","https://openalex.org/W1608645710","https://openalex.org/W3153036459","https://openalex.org/W1141707765","https://openalex.org/W2032835035","https://openalex.org/W2929254961","https://openalex.org/W1985946497","https://openalex.org/W4293280731","https://openalex.org/W2774520555"],"abstract_inverted_index":{"Coding":[0],"in":[1,14,28,58,95,107],"a":[2,101],"new":[3,89],"metric":[4],"space,":[5,9],"called":[6],"the":[7,17,35,42,59,96],"Enomoto-Katona":[8,60,97],"has":[10],"recently":[11],"been":[12],"considered":[13],"connection":[15],"with":[16,177],"study":[18],"of":[19,22,37,44,48,64,76,92,103,175],"implication":[20],"structures":[21],"functional":[23],"dependencies":[24],"and":[25,55,99,105,136,165],"their":[26],"generalizations":[27],"relational":[29],"databases.":[30],"The":[31,62],"central":[32],"problem":[33],"is":[34,122],"determination":[36],"C":[38,65,112,167],"(":[39,66,79,113,138,168],"n,k,d":[40,67],"),":[41],"size":[43],"an":[45],"optimal":[46,93],"code":[47],"length":[49],"n":[50,77,114,128,131,137,139,150,169,176],",":[51,54,115,117,148],"weight":[52],"k":[53,116,119,135,146,154,162],"distance":[56],"d":[57],"space.":[61],"value":[63],")":[68,81],"was":[69],"known":[70],"only":[71],"for":[72,124,161,171],"some":[73],"congruence":[74,173],"classes":[75,174],"when":[78],"k,d":[80],"\u2208":[82],"{(2,3),(3,5)}.":[83],"In":[84,110],"this":[85],"paper,":[86],"we":[87],"obtain":[88],"infinite":[90],"families":[91],"codes":[94],"space":[98],"verify":[100],"conjecture":[102],"Brightwell":[104],"Katona":[106],"certain":[108,172],"instances.":[109],"particular,":[111],"2":[118,145,147,164],"\u2212":[120,140],"1)":[121,141],"determined":[123],"all":[125],"sufficiently":[126],"large":[127],"satisfying":[129],"either":[130],"\u2261":[132,142,151],"1":[133],"mod":[134,144,153],"0":[143,152],"or":[149],".":[155],"We":[156],"also":[157],"give":[158],"complete":[159],"solutions":[160],"=":[163],"determine":[166],",3,5)":[170],"finite":[178],"exceptions.":[179]},"counts_by_year":[{"year":2016,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}