{"id":"https://openalex.org/W7163658037","doi":"https://doi.org/10.1016/j.jcta.2026.106225","title":"On lattice tilings of Zn by limited-magnitude error balls B(n,2,k1,k2) with k1\u202f>\u202fk2","display_name":"On lattice tilings of Zn by limited-magnitude error balls B(n,2,k1,k2) with k1\u202f>\u202fk2","publication_year":2026,"publication_date":"2026-06-05","ids":{"openalex":"https://openalex.org/W7163658037","doi":"https://doi.org/10.1016/j.jcta.2026.106225"},"language":"en","primary_location":{"id":"doi:10.1016/j.jcta.2026.106225","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jcta.2026.106225","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","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/A5027255093","display_name":"Ka Hin Leung","orcid":"https://orcid.org/0000-0001-5865-139X"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Ka Hin Leung","raw_affiliation_strings":["Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 119260, Republic of Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 119260, Republic of Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100372988","display_name":"Ran Tao","orcid":"https://orcid.org/0000-0003-2064-7429"},"institutions":[{"id":"https://openalex.org/I4210132990","display_name":"State Key Laboratory of Cryptology","ror":"https://ror.org/02pn5rj08","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210132990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ran Tao","raw_affiliation_strings":["State Key Laboratory of Cryptography and Digital Economy Security, Shandong University, Qingdao, 266237, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Cryptography and Digital Economy Security, Shandong University, Qingdao, 266237, China","institution_ids":["https://openalex.org/I4210132990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042988726","display_name":"Daohua Wang","orcid":"https://orcid.org/0009-0006-1270-3805"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Daohua Wang","raw_affiliation_strings":["School of Cyber Engineering, Xidian University, Xi'an 710126, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Cyber Engineering, Xidian University, Xi'an 710126, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5137967341","display_name":"Tao Zhang","orcid":"https://orcid.org/0000-0002-9914-0382"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tao Zhang","raw_affiliation_strings":["Institute of Mathematics and Interdisciplinary Sciences, Xidian University, Xi'an 710126, China"],"raw_orcid":"https://orcid.org/0000-0002-9914-0382","affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Interdisciplinary Sciences, Xidian University, Xi'an 710126, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5137967341"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.60838225,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"224","issue":null,"first_page":"106225","last_page":"106225"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.4555000066757202,"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":0.4555000066757202,"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/T11887","display_name":"Quasicrystal Structures and Properties","score":0.16599999368190765,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.1005999967455864,"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/lattice","display_name":"Lattice (music)","score":0.6708999872207642},{"id":"https://openalex.org/keywords/substitution-tiling","display_name":"Substitution tiling","score":0.4250999987125397},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.42329999804496765},{"id":"https://openalex.org/keywords/lattice-energy","display_name":"Lattice energy","score":0.26350000500679016},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.23980000615119934}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7728000283241272},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7221999764442444},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6708999872207642},{"id":"https://openalex.org/C21550011","wikidata":"https://www.wikidata.org/wiki/Q7632143","display_name":"Substitution tiling","level":2,"score":0.4250999987125397},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.42329999804496765},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3540000021457672},{"id":"https://openalex.org/C131468747","wikidata":"https://www.wikidata.org/wiki/Q685892","display_name":"Lattice energy","level":3,"score":0.26350000500679016},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.23980000615119934},{"id":"https://openalex.org/C2777620828","wikidata":"https://www.wikidata.org/wiki/Q7582067","display_name":"Square lattice","level":3,"score":0.21940000355243683},{"id":"https://openalex.org/C203101518","wikidata":"https://www.wikidata.org/wiki/Q263214","display_name":"Quasicrystal","level":2,"score":0.2085999995470047}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jcta.2026.106225","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jcta.2026.106225","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336567","display_name":"Natural Science Basic Research Program of Shaanxi Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1965258646","https://openalex.org/W1986166912","https://openalex.org/W1993216293","https://openalex.org/W1993333266","https://openalex.org/W1998087361","https://openalex.org/W2032605678","https://openalex.org/W2034099424","https://openalex.org/W2045168812","https://openalex.org/W2051588288","https://openalex.org/W2058144850","https://openalex.org/W2067495494","https://openalex.org/W2088119478","https://openalex.org/W2096408325","https://openalex.org/W2101520845","https://openalex.org/W2102628331","https://openalex.org/W2109619902","https://openalex.org/W2150237827","https://openalex.org/W2474914300","https://openalex.org/W2606030710","https://openalex.org/W2985096936","https://openalex.org/W3009961155","https://openalex.org/W3142677918","https://openalex.org/W3177337890","https://openalex.org/W3205289534","https://openalex.org/W4225273059","https://openalex.org/W4244868841","https://openalex.org/W4385525480"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2026-06-06T00:00:00"}