{"id":"https://openalex.org/W2900728126","doi":"https://doi.org/10.1109/tg.2018.2880953","title":"Construction of Strongly Mutually Distinct Sudoku Tables and Solid Sudoku Cubes by Cyclotomic Cosets","display_name":"Construction of Strongly Mutually Distinct Sudoku Tables and Solid Sudoku Cubes by Cyclotomic Cosets","publication_year":2018,"publication_date":"2018-11-13","ids":{"openalex":"https://openalex.org/W2900728126","doi":"https://doi.org/10.1109/tg.2018.2880953","mag":"2900728126"},"language":"en","primary_location":{"id":"doi:10.1109/tg.2018.2880953","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tg.2018.2880953","pdf_url":null,"source":{"id":"https://openalex.org/S4210224842","display_name":"IEEE Transactions on Games","issn_l":"2475-1502","issn":["2475-1502","2475-1510"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Games","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/A5033652464","display_name":"Mehrab Najafian","orcid":"https://orcid.org/0000-0002-3503-9920"},"institutions":[{"id":"https://openalex.org/I170013655","display_name":"Isfahan University of Technology","ror":"https://ror.org/00af3sa43","country_code":"IR","type":"education","lineage":["https://openalex.org/I170013655"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mehrab Najafian","raw_affiliation_strings":["Department of Mathematical Science, Isfahan University of Technology, Isfahan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Science, Isfahan University of Technology, Isfahan, Iran","institution_ids":["https://openalex.org/I170013655"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042761197","display_name":"Mohammad Hesam Tadayon","orcid":"https://orcid.org/0000-0002-0865-7993"},"institutions":[{"id":"https://openalex.org/I4210102178","display_name":"ICT Research Institute","ror":"https://ror.org/01a3g2z22","country_code":"IR","type":"facility","lineage":["https://openalex.org/I4210102178"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Hesam Tadayon","raw_affiliation_strings":["Iran Telecommunication Research Centre, Tehran, Iran"],"raw_orcid":"https://orcid.org/0000-0002-0865-7993","affiliations":[{"raw_affiliation_string":"Iran Telecommunication Research Centre, Tehran, Iran","institution_ids":["https://openalex.org/I4210102178"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102939042","display_name":"Morteza Esmaeili","orcid":"https://orcid.org/0000-0002-8894-7017"},"institutions":[{"id":"https://openalex.org/I170013655","display_name":"Isfahan University of Technology","ror":"https://ror.org/00af3sa43","country_code":"IR","type":"education","lineage":["https://openalex.org/I170013655"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Morteza Esmaeili","raw_affiliation_strings":["Department of Mathematical Science, Isfahan University of Technology, Isfahan, Iran"],"raw_orcid":"https://orcid.org/0000-0002-8894-7017","affiliations":[{"raw_affiliation_string":"Department of Mathematical Science, Isfahan University of Technology, Isfahan, Iran","institution_ids":["https://openalex.org/I170013655"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.198,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.53866951,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"12","issue":"1","first_page":"54","last_page":"62"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9994999766349792,"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9138000011444092,"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/coset","display_name":"Coset","score":0.7434029579162598},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.5313255190849304},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5108587145805359},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4847673773765564},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3363710641860962},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3218228816986084}],"concepts":[{"id":"https://openalex.org/C85307737","wikidata":"https://www.wikidata.org/wiki/Q751969","display_name":"Coset","level":2,"score":0.7434029579162598},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.5313255190849304},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5108587145805359},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4847673773765564},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3363710641860962},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3218228816986084}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tg.2018.2880953","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tg.2018.2880953","pdf_url":null,"source":{"id":"https://openalex.org/S4210224842","display_name":"IEEE Transactions on Games","issn_l":"2475-1502","issn":["2475-1502","2475-1510"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Games","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth","score":0.4000000059604645}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W45009696","https://openalex.org/W193045664","https://openalex.org/W606358983","https://openalex.org/W1947063854","https://openalex.org/W1969410400","https://openalex.org/W2019009699","https://openalex.org/W2025348802","https://openalex.org/W2034959434","https://openalex.org/W2104875665","https://openalex.org/W2139645268","https://openalex.org/W2140512931","https://openalex.org/W2395958060","https://openalex.org/W4251029267","https://openalex.org/W6601828585"],"related_works":["https://openalex.org/W2388953866","https://openalex.org/W2349918401","https://openalex.org/W1963889177","https://openalex.org/W2362355910","https://openalex.org/W2126856880","https://openalex.org/W4225242725","https://openalex.org/W1956868877","https://openalex.org/W2952353860","https://openalex.org/W2037122143","https://openalex.org/W1970248641"],"abstract_inverted_index":{"A":[0],"new":[1,94,102],"method":[2],"of":[3,16,19,22,39,57,72,96],"constructing":[4],"Sudoku":[5,87,98,112],"tables":[6],"(STs)":[7],"(Sudoku":[8],"Latin":[9],"squares)":[10],"is":[11,32,61,106],"introduced":[12,107],"by":[13],"making":[14],"use":[15],"individual":[17],"vectors":[18],"cyclotomic":[20],"cosets":[21],"Zn,":[23],"and":[24,104],"their":[25],"Kronecker":[26],"product.":[27],"We":[28],"show":[29],"that,":[30],"it":[31],"possible":[33],"to":[34,83],"construct":[35,84],"m":[36,41,51,59],"different":[37],"STs":[38,60,64],"order":[40],"such":[42],"that":[43,108],"for":[44,111],"every":[45],"0":[46],"\u2264":[47,50],"u,":[48],"v":[49],"-":[52],"1":[53],"the":[54],"(u,":[55],"v)-entry":[56],"these":[58],"different.":[62],"These":[63],"could":[65],"be":[66],"considered":[67],"as":[68],"a":[69,85,91,93,101],"perfect":[70],"set":[71],"strongly":[73],"mutually":[74],"distinct":[75],"(SMD)":[76],"STs,":[77],"which":[78],"in":[79],"turn":[80],"are":[81,109],"used":[82],"solid":[86],"cube":[88],"(SSC).":[89],"As":[90],"result,":[92],"version":[95],"SMD":[97],"puzzles":[99,113],"under":[100],"rule":[103],"condition":[105],"interesting":[110],"game":[114],"designers.":[115]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
