{"id":"https://openalex.org/W2086268020","doi":"https://doi.org/10.1016/0012-365x(73)90080-0","title":"A construction scheme for linear and non-linear codes","display_name":"A construction scheme for linear and non-linear codes","publication_year":1973,"publication_date":"1973-02-01","ids":{"openalex":"https://openalex.org/W2086268020","doi":"https://doi.org/10.1016/0012-365x(73)90080-0","mag":"2086268020"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(73)90080-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(73)90080-0","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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":"Discrete Mathematics","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/A5045139121","display_name":"C. L. Liu","orcid":null},"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/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["CA","US"],"is_corresponding":true,"raw_author_name":"C.L. Liu","raw_affiliation_strings":["Department of Computer Science, University of Illinois, Urbana, Ill., USA","Department of Electrical Engineering, Massachusetts Institute of Technology, Cambridge, Mass., USA","Department of Mathematics, Queens University, Kingston, Ont., Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Illinois, Urbana, Ill., USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Electrical Engineering, Massachusetts Institute of Technology, Cambridge, Mass., USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Department of Mathematics, Queens University, Kingston, Ont., Canada","institution_ids":["https://openalex.org/I204722609"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103412747","display_name":"Ban-Choon Ong","orcid":null},"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/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"B.G. Ong","raw_affiliation_strings":["Department of Computer Science, University of Illinois, Urbana, Ill., USA","Department of Electrical Engineering, Massachusetts Institute of Technology, Cambridge, Mass., USA","Department of Mathematics, Queens University, Kingston, Ont., Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Illinois, Urbana, Ill., USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Electrical Engineering, Massachusetts Institute of Technology, Cambridge, Mass., USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Department of Mathematics, Queens University, Kingston, Ont., Canada","institution_ids":["https://openalex.org/I204722609"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109838967","display_name":"Gregory R. Ruth","orcid":null},"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/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"G.R. Ruth","raw_affiliation_strings":["Department of Computer Science, University of Illinois, Urbana, Ill., USA","Department of Electrical Engineering, Massachusetts Institute of Technology, Cambridge, Mass., USA","Department of Mathematics, Queens University, Kingston, Ont., Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Illinois, Urbana, Ill., USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Electrical Engineering, Massachusetts Institute of Technology, Cambridge, Mass., USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Department of Mathematics, Queens University, Kingston, Ont., Canada","institution_ids":["https://openalex.org/I204722609"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045139121"],"corresponding_institution_ids":["https://openalex.org/I157725225","https://openalex.org/I204722609","https://openalex.org/I63966007"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.14861461,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"4","issue":"2","first_page":"171","last_page":"184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9965000152587891,"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":0.9965000152587891,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9958999752998352,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9897000193595886,"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/linear-code","display_name":"Linear code","score":0.8286895751953125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7635844945907593},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.6473450660705566},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4912347197532654},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4868833124637604},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4496878683567047},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4258204400539398},{"id":"https://openalex.org/keywords/expander-code","display_name":"Expander code","score":0.4247773289680481},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3674365282058716},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35888436436653137},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15888091921806335},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.1467490792274475}],"concepts":[{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.8286895751953125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7635844945907593},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.6473450660705566},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4912347197532654},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4868833124637604},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4496878683567047},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4258204400539398},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.4247773289680481},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3674365282058716},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35888436436653137},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15888091921806335},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.1467490792274475},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(73)90080-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(73)90080-0","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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":"Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.7900000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1999270946","https://openalex.org/W2040306726","https://openalex.org/W2061048888","https://openalex.org/W2062582191","https://openalex.org/W2063994293","https://openalex.org/W2100838727","https://openalex.org/W2293663105","https://openalex.org/W6697171523"],"related_works":["https://openalex.org/W4386066307","https://openalex.org/W1789159349","https://openalex.org/W2535963896","https://openalex.org/W2095450438","https://openalex.org/W2107754089","https://openalex.org/W3136820369","https://openalex.org/W4383466497","https://openalex.org/W2460434904","https://openalex.org/W1992135520","https://openalex.org/W3035292973"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}