{"id":"https://openalex.org/W1585391929","doi":"https://doi.org/10.1007/3-540-63163-1_21","title":"Formal duality of linearly presentable codes over a Galois field","display_name":"Formal duality of linearly presentable codes over a Galois field","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1585391929","doi":"https://doi.org/10.1007/3-540-63163-1_21","mag":"1585391929"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-63163-1_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-63163-1_21","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/A5078389977","display_name":"A. A. Nechaev","orcid":"https://orcid.org/0000-0002-0464-9961"},"institutions":[{"id":"https://openalex.org/I4210150146","display_name":"Moscow State University","ror":"https://ror.org/050a13t43","country_code":"TJ","type":"education","lineage":["https://openalex.org/I4210150146"]},{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU","TJ"],"is_corresponding":true,"raw_author_name":"Alexander A. Nechaev","raw_affiliation_strings":["Center of New Informational Technologies, Moscow State University, 119899, Russia","Moscow State  University"],"affiliations":[{"raw_affiliation_string":"Center of New Informational Technologies, Moscow State University, 119899, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Moscow State  University","institution_ids":["https://openalex.org/I4210150146"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113499242","display_name":"A. S. Kuzmin","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]},{"id":"https://openalex.org/I4210150146","display_name":"Moscow State University","ror":"https://ror.org/050a13t43","country_code":"TJ","type":"education","lineage":["https://openalex.org/I4210150146"]}],"countries":["RU","TJ"],"is_corresponding":false,"raw_author_name":"Alexey S. Kuzmin","raw_affiliation_strings":["Center of New Informational Technologies, Moscow State University, 119899, Russia","Moscow State  University"],"affiliations":[{"raw_affiliation_string":"Center of New Informational Technologies, Moscow State University, 119899, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Moscow State  University","institution_ids":["https://openalex.org/I4210150146"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078389977"],"corresponding_institution_ids":["https://openalex.org/I19880235","https://openalex.org/I4210150146"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.2907,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.79753486,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"263","last_page":"276"},"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":0.9965000152587891,"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":0.9950000047683716,"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/mathematics","display_name":"Mathematics","score":0.7008138298988342},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5885690450668335},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5244213342666626},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.49560320377349854},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49109578132629395},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.4889437258243561},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.4854155480861664},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.4797424077987671},{"id":"https://openalex.org/keywords/weight-distribution","display_name":"Weight distribution","score":0.4612201154232025},{"id":"https://openalex.org/keywords/galois-theory","display_name":"Galois theory","score":0.44586363434791565},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4376089572906494},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.2424038052558899},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14958146214485168},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.10759881138801575},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08031994104385376}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7008138298988342},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5885690450668335},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5244213342666626},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.49560320377349854},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49109578132629395},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.4889437258243561},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.4854155480861664},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.4797424077987671},{"id":"https://openalex.org/C25432639","wikidata":"https://www.wikidata.org/wiki/Q3711790","display_name":"Weight distribution","level":2,"score":0.4612201154232025},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.44586363434791565},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4376089572906494},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2424038052558899},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14958146214485168},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.10759881138801575},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08031994104385376},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-63163-1_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-63163-1_21","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W949515176","https://openalex.org/W1194192780","https://openalex.org/W2010168779","https://openalex.org/W2033117386","https://openalex.org/W2034619007","https://openalex.org/W2038681062","https://openalex.org/W2065743807","https://openalex.org/W2099477319","https://openalex.org/W2914855067","https://openalex.org/W3151140615","https://openalex.org/W6627754136","https://openalex.org/W6628614173"],"related_works":["https://openalex.org/W2186975062","https://openalex.org/W2377672155","https://openalex.org/W2890903969","https://openalex.org/W2064186082","https://openalex.org/W4387838227","https://openalex.org/W2963484356","https://openalex.org/W2161125858","https://openalex.org/W2914281158","https://openalex.org/W1667411252","https://openalex.org/W2587136861"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
