{"id":"https://openalex.org/W1964799752","doi":"https://doi.org/10.1007/s00200-011-0140-x","title":"Higher weights for codes over rings","display_name":"Higher weights for codes over rings","publication_year":2011,"publication_date":"2011-03-01","ids":{"openalex":"https://openalex.org/W1964799752","doi":"https://doi.org/10.1007/s00200-011-0140-x","mag":"1964799752"},"language":"en","primary_location":{"id":"doi:10.1007/s00200-011-0140-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-011-0140-x","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","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/A5059969175","display_name":"Steven T. Dougherty","orcid":"https://orcid.org/0000-0003-4877-1923"},"institutions":[{"id":"https://openalex.org/I124113063","display_name":"University of Scranton","ror":"https://ror.org/05xwb6v37","country_code":"US","type":"education","lineage":["https://openalex.org/I124113063"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Steven T. Dougherty","raw_affiliation_strings":["Department of Mathematics, University of Scranton, Scranton, PA, 18510, USA","University of Scranton, Department of Mathematics, 18510, Scranton, PA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Scranton, Scranton, PA, 18510, USA","institution_ids":["https://openalex.org/I124113063"]},{"raw_affiliation_string":"University of Scranton, Department of Mathematics, 18510, Scranton, PA, USA#TAB#","institution_ids":["https://openalex.org/I124113063"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080894628","display_name":"Sunghyu Han","orcid":"https://orcid.org/0000-0002-5484-903X"},"institutions":[{"id":"https://openalex.org/I35886859","display_name":"Korea University of Technology and Education","ror":"https://ror.org/053nycv62","country_code":"KR","type":"education","lineage":["https://openalex.org/I35886859"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Sunghyu Han","raw_affiliation_strings":["School of Liberal Arts, Korea University of Technology and Education, Cheonan, 330-708, South Korea","Korea University of Technology and Education, School of Liberal Arts, 330-708, Cheonan, South Korea#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Liberal Arts, Korea University of Technology and Education, Cheonan, 330-708, South Korea","institution_ids":["https://openalex.org/I35886859"]},{"raw_affiliation_string":"Korea University of Technology and Education, School of Liberal Arts, 330-708, Cheonan, South Korea#TAB#","institution_ids":["https://openalex.org/I35886859"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100411953","display_name":"Hongwei Liu","orcid":"https://orcid.org/0000-0002-4288-1761"},"institutions":[{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongwei Liu","raw_affiliation_strings":["Department of Mathematics, Huazhong Normal University, Wuhan, Hubei, 430079, China","Huazhong Normal University, Department of Mathematics, 430079, Wuhan, Hubei, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Huazhong Normal University, Wuhan, Hubei, 430079, China","institution_ids":["https://openalex.org/I40963666"]},{"raw_affiliation_string":"Huazhong Normal University, Department of Mathematics, 430079, Wuhan, Hubei, China#TAB#","institution_ids":["https://openalex.org/I40963666"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059969175"],"corresponding_institution_ids":["https://openalex.org/I124113063"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.8875,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.79099447,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"22","issue":"2","first_page":"113","last_page":"135"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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":0.9962000250816345,"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/T10849","display_name":"Finite Group Theory Research","score":0.9765999913215637,"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/ternary-golay-code","display_name":"Ternary Golay code","score":0.8798595666885376},{"id":"https://openalex.org/keywords/binary-golay-code","display_name":"Binary Golay code","score":0.8570212125778198},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6632296442985535},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.6393961906433105},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.6325162649154663},{"id":"https://openalex.org/keywords/minimum-weight","display_name":"Minimum weight","score":0.5339967608451843},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.519520103931427},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5147385597229004},{"id":"https://openalex.org/keywords/ternary-operation","display_name":"Ternary operation","score":0.5091342329978943},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.508633017539978},{"id":"https://openalex.org/keywords/dual-code","display_name":"Dual code","score":0.47773808240890503},{"id":"https://openalex.org/keywords/hamming-weight","display_name":"Hamming weight","score":0.47237566113471985},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.46854886412620544},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.448991984128952},{"id":"https://openalex.org/keywords/cyclic-code","display_name":"Cyclic code","score":0.44525980949401855},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.4344263970851898},{"id":"https://openalex.org/keywords/constant-weight-code","display_name":"Constant-weight code","score":0.4261336028575897},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.3919626772403717},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27153098583221436},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22718289494514465},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.19505372643470764},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.12524709105491638},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.08029097318649292}],"concepts":[{"id":"https://openalex.org/C108906091","wikidata":"https://www.wikidata.org/wiki/Q7702927","display_name":"Ternary Golay code","level":5,"score":0.8798595666885376},{"id":"https://openalex.org/C165293857","wikidata":"https://www.wikidata.org/wiki/Q1534522","display_name":"Binary Golay code","level":2,"score":0.8570212125778198},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6632296442985535},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.6393961906433105},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.6325162649154663},{"id":"https://openalex.org/C2778945305","wikidata":"https://www.wikidata.org/wiki/Q6865502","display_name":"Minimum weight","level":2,"score":0.5339967608451843},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.519520103931427},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5147385597229004},{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.5091342329978943},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.508633017539978},{"id":"https://openalex.org/C73666251","wikidata":"https://www.wikidata.org/wiki/Q5310189","display_name":"Dual code","level":5,"score":0.47773808240890503},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.47237566113471985},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.46854886412620544},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.448991984128952},{"id":"https://openalex.org/C2096984","wikidata":"https://www.wikidata.org/wiki/Q245464","display_name":"Cyclic code","level":5,"score":0.44525980949401855},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.4344263970851898},{"id":"https://openalex.org/C197242373","wikidata":"https://www.wikidata.org/wiki/Q5163613","display_name":"Constant-weight code","level":5,"score":0.4261336028575897},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.3919626772403717},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27153098583221436},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22718289494514465},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.19505372643470764},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.12524709105491638},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.08029097318649292},{"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/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00200-011-0140-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-011-0140-x","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1559343931","https://openalex.org/W1801240072","https://openalex.org/W1967378985","https://openalex.org/W1973174922","https://openalex.org/W1993686816","https://openalex.org/W2004865039","https://openalex.org/W2011810490","https://openalex.org/W2064736023","https://openalex.org/W2086780397","https://openalex.org/W2127558904","https://openalex.org/W2144391672","https://openalex.org/W2160607895","https://openalex.org/W2162724186","https://openalex.org/W2171843169","https://openalex.org/W2579906682","https://openalex.org/W4206775542","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2014783995","https://openalex.org/W4283827152","https://openalex.org/W2971495850","https://openalex.org/W2171843169","https://openalex.org/W2077262851","https://openalex.org/W4238936689","https://openalex.org/W1988416194","https://openalex.org/W2950940004","https://openalex.org/W1967378985","https://openalex.org/W2084837155"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}