{"id":"https://openalex.org/W29551487","doi":"https://doi.org/10.1023/a:1008335912135","title":"Construction of Extremal Type II Codes over \u21244","display_name":"Construction of Extremal Type II Codes over \u21244","publication_year":1999,"publication_date":"1999-05-01","ids":{"openalex":"https://openalex.org/W29551487","doi":"https://doi.org/10.1023/a:1008335912135","mag":"29551487"},"language":"en","primary_location":{"id":"doi:10.1023/a:1008335912135","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008335912135","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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/A5019785896","display_name":"Philippe Gaborit","orcid":"https://orcid.org/0000-0002-4034-521X"},"institutions":[{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Philippe Gaborit","raw_affiliation_strings":["Laboratoire A2X, Universit\u00e9 Bordeaux I, 33400, Talence, France","Laboratoire A2X, Universit\u00e9 Bordeaux I, 33400 Talence, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratoire A2X, Universit\u00e9 Bordeaux I, 33400, Talence, France","institution_ids":["https://openalex.org/I15057530"]},{"raw_affiliation_string":"Laboratoire A2X, Universit\u00e9 Bordeaux I, 33400 Talence, France#TAB#","institution_ids":["https://openalex.org/I15057530"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015902214","display_name":"Masaaki Harada","orcid":"https://orcid.org/0000-0002-2748-6456"},"institutions":[{"id":"https://openalex.org/I112524849","display_name":"Yamagata University","ror":"https://ror.org/00xy44n04","country_code":"JP","type":"education","lineage":["https://openalex.org/I112524849"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masaaki Harada","raw_affiliation_strings":["Department of Mathematical Sciences, Yamagata University, Yamagata, 990-8560, Japan","Department of Mathematical Sciences, Yamagata University,  Yamagata 990-8560, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Yamagata University, Yamagata, 990-8560, Japan","institution_ids":["https://openalex.org/I112524849"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Yamagata University,  Yamagata 990-8560, Japan","institution_ids":["https://openalex.org/I112524849"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019785896"],"corresponding_institution_ids":["https://openalex.org/I15057530"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.5645,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.84013008,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"16","issue":"3","first_page":"257","last_page":"269"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9868999719619751,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9868999719619751,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6753489971160889},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.6398000121116638},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.560889482498169},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.559694766998291},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5247079133987427},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5123947262763977},{"id":"https://openalex.org/keywords/dual-code","display_name":"Dual code","score":0.5060736536979675},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.482601523399353},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.47694769501686096},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.47619545459747314},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47007209062576294},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.45681700110435486},{"id":"https://openalex.org/keywords/constant-weight-code","display_name":"Constant-weight code","score":0.4495120346546173},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4376077950000763},{"id":"https://openalex.org/keywords/binary-code","display_name":"Binary code","score":0.42773866653442383},{"id":"https://openalex.org/keywords/minimum-weight","display_name":"Minimum weight","score":0.41593432426452637},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.395059198141098},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21962407231330872},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21745824813842773},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.16049423813819885},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.07923957705497742}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6753489971160889},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.6398000121116638},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.560889482498169},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.559694766998291},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5247079133987427},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5123947262763977},{"id":"https://openalex.org/C73666251","wikidata":"https://www.wikidata.org/wiki/Q5310189","display_name":"Dual code","level":5,"score":0.5060736536979675},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.482601523399353},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.47694769501686096},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.47619545459747314},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47007209062576294},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.45681700110435486},{"id":"https://openalex.org/C197242373","wikidata":"https://www.wikidata.org/wiki/Q5163613","display_name":"Constant-weight code","level":5,"score":0.4495120346546173},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4376077950000763},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.42773866653442383},{"id":"https://openalex.org/C2778945305","wikidata":"https://www.wikidata.org/wiki/Q6865502","display_name":"Minimum weight","level":2,"score":0.41593432426452637},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.395059198141098},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21962407231330872},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21745824813842773},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.16049423813819885},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.07923957705497742},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1008335912135","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008335912135","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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":22,"referenced_works":["https://openalex.org/W172261581","https://openalex.org/W1535858642","https://openalex.org/W1972421649","https://openalex.org/W1979177096","https://openalex.org/W1995990042","https://openalex.org/W2003341050","https://openalex.org/W2018051633","https://openalex.org/W2022803795","https://openalex.org/W2028652280","https://openalex.org/W2061147538","https://openalex.org/W2082033818","https://openalex.org/W2104380849","https://openalex.org/W2114751427","https://openalex.org/W2119442123","https://openalex.org/W2154698135","https://openalex.org/W2158848893","https://openalex.org/W2165685544","https://openalex.org/W2177092276","https://openalex.org/W2327984912","https://openalex.org/W4285719527","https://openalex.org/W4292414116","https://openalex.org/W6602380562"],"related_works":["https://openalex.org/W2363317838","https://openalex.org/W2167887731","https://openalex.org/W4246247137","https://openalex.org/W2110798623","https://openalex.org/W2203282990","https://openalex.org/W2348746730","https://openalex.org/W2111330432","https://openalex.org/W2149286354","https://openalex.org/W2762830775","https://openalex.org/W1990661161"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}