{"id":"https://openalex.org/W1514770290","doi":"https://doi.org/10.1007/11560647_2","title":"Codes and Length-Increasing Transitive Binary Relations","display_name":"Codes and Length-Increasing Transitive Binary Relations","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1514770290","doi":"https://doi.org/10.1007/11560647_2","mag":"1514770290"},"language":"en","primary_location":{"id":"doi:10.1007/11560647_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11560647_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5109814667","display_name":"\u0110\u1ed7 Long V\u00e2n","orcid":null},"institutions":[{"id":"https://openalex.org/I4210148301","display_name":"Institute of Mathematics","ror":"https://ror.org/04jr71r83","country_code":"VN","type":"facility","lineage":["https://openalex.org/I4210148301","https://openalex.org/I70349855"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Do Long Van","raw_affiliation_strings":["Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307, Hanoi, Vietnam"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307, Hanoi, Vietnam","institution_ids":["https://openalex.org/I4210148301"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077022350","display_name":"Kieu Van Hung","orcid":null},"institutions":[{"id":"https://openalex.org/I4210095523","display_name":"Hanoi Pedagogical University 2","ror":"https://ror.org/00st18g74","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210095523"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Kieu Van Hung","raw_affiliation_strings":["Hanoi Pedagogical University, No.2, Xuan Hoa, Phuc Yen, Vinh Phuc, Vietnam"],"affiliations":[{"raw_affiliation_string":"Hanoi Pedagogical University, No.2, Xuan Hoa, Phuc Yen, Vinh Phuc, Vietnam","institution_ids":["https://openalex.org/I4210095523"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049282353","display_name":"Phan Trung Huy","orcid":"https://orcid.org/0000-0002-4412-4959"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Phan Trung Huy","raw_affiliation_strings":["Hanoi Polytechnic University, 1 Dai Co Viet Street, Hanoi, Vietnam"],"affiliations":[{"raw_affiliation_string":"Hanoi Polytechnic University, 1 Dai Co Viet Street, Hanoi, Vietnam","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5109814667"],"corresponding_institution_ids":["https://openalex.org/I4210148301"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.2786,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.56047132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"29","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9932000041007996,"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"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9932000041007996,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9922000169754028,"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/T10142","display_name":"Formal Methods in Verification","score":0.973800003528595,"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/transitive-relation","display_name":"Transitive relation","score":0.6900801658630371},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.611229658126831},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.5283313989639282},{"id":"https://openalex.org/keywords/expander-code","display_name":"Expander code","score":0.5073389410972595},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5063356161117554},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.4735873341560364},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4727809429168701},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.4645881950855255},{"id":"https://openalex.org/keywords/binary-code","display_name":"Binary code","score":0.4533412754535675},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.43175357580184937},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4160524904727936},{"id":"https://openalex.org/keywords/schema","display_name":"Schema (genetic algorithms)","score":0.41468796133995056},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38909512758255005},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3361450433731079},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3331056833267212},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26216039061546326},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.16246333718299866},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.09175479412078857},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06626218557357788}],"concepts":[{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.6900801658630371},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.611229658126831},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5283313989639282},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.5073389410972595},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5063356161117554},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.4735873341560364},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4727809429168701},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.4645881950855255},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.4533412754535675},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.43175357580184937},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4160524904727936},{"id":"https://openalex.org/C52146309","wikidata":"https://www.wikidata.org/wiki/Q7431116","display_name":"Schema (genetic algorithms)","level":2,"score":0.41468796133995056},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38909512758255005},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3361450433731079},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3331056833267212},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26216039061546326},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.16246333718299866},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.09175479412078857},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06626218557357788},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11560647_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11560647_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6100000143051147,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W7861317","https://openalex.org/W82956666","https://openalex.org/W196919032","https://openalex.org/W1510695256","https://openalex.org/W1525430886","https://openalex.org/W1584587517","https://openalex.org/W1589319511","https://openalex.org/W1817451992","https://openalex.org/W1968850105","https://openalex.org/W1993165061","https://openalex.org/W2022381145","https://openalex.org/W2032216232","https://openalex.org/W2041155655","https://openalex.org/W2061347549","https://openalex.org/W2062991407","https://openalex.org/W2083135460","https://openalex.org/W2094183349","https://openalex.org/W2327727879","https://openalex.org/W2592184324","https://openalex.org/W3127823229","https://openalex.org/W4211131950","https://openalex.org/W4232006565","https://openalex.org/W4233220581"],"related_works":["https://openalex.org/W2037763716","https://openalex.org/W2150212378","https://openalex.org/W1976052006","https://openalex.org/W1798117689","https://openalex.org/W1968396483","https://openalex.org/W2131310741","https://openalex.org/W4297536019","https://openalex.org/W2913933112","https://openalex.org/W2950636389","https://openalex.org/W2244606909"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}