{"id":"https://openalex.org/W2001553361","doi":"https://doi.org/10.1016/s0166-218x(00)00348-6","title":"Complete weight enumerators of generalized Kerdock code and related linear codes over Galois ring","display_name":"Complete weight enumerators of generalized Kerdock code and related linear codes over Galois ring","publication_year":2001,"publication_date":"2001-07-01","ids":{"openalex":"https://openalex.org/W2001553361","doi":"https://doi.org/10.1016/s0166-218x(00)00348-6","mag":"2001553361"},"language":"en","primary_location":{"id":"doi:10.1016/s0166-218x(00)00348-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(00)00348-6","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"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 Applied 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/A5101818083","display_name":"Alexey V. Ku\u017amin","orcid":"https://orcid.org/0000-0001-8218-4058"},"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"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Aleksey Kuzmin","raw_affiliation_strings":["Center of New Informational Technologies of Moscow State University, 119899, Russia"],"affiliations":[{"raw_affiliation_string":"Center of New Informational Technologies of Moscow State University, 119899, Russia","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110348195","display_name":"\u0410\u043b\u0435\u043a\u0441\u0430\u043d\u0434\u0440 \u0410\u043b\u0435\u043a\u0441\u0430\u043d\u0434\u0440\u043e\u0432\u0438\u0447 \u041d\u0435\u0447\u0430\u0435\u0432","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"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Aleksandr Nechaev","raw_affiliation_strings":["Center of New Informational Technologies of Moscow State University, 119899, Russia"],"affiliations":[{"raw_affiliation_string":"Center of New Informational Technologies of Moscow State University, 119899, Russia","institution_ids":["https://openalex.org/I19880235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110348195"],"corresponding_institution_ids":["https://openalex.org/I19880235"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":1.095,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.83429647,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"111","issue":"1-2","first_page":"117","last_page":"137"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9922000169754028,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9865999817848206,"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/mathematics","display_name":"Mathematics","score":0.8452659845352173},{"id":"https://openalex.org/keywords/polynomial-code","display_name":"Polynomial code","score":0.7286044359207153},{"id":"https://openalex.org/keywords/concatenation","display_name":"Concatenation (mathematics)","score":0.6318811774253845},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.6089465618133545},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5448737740516663},{"id":"https://openalex.org/keywords/dual-code","display_name":"Dual code","score":0.5433810353279114},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5405856370925903},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.5249968767166138},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5163941979408264},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5076662302017212},{"id":"https://openalex.org/keywords/cyclic-code","display_name":"Cyclic code","score":0.4956585168838501},{"id":"https://openalex.org/keywords/constant-weight-code","display_name":"Constant-weight code","score":0.4934145510196686},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.4733845293521881},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.4572983682155609},{"id":"https://openalex.org/keywords/polynomial-ring","display_name":"Polynomial ring","score":0.4568610191345215},{"id":"https://openalex.org/keywords/galois-theory","display_name":"Galois theory","score":0.4527287483215332},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44871336221694946},{"id":"https://openalex.org/keywords/gf","display_name":"GF(2)","score":0.4346776008605957},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4328480064868927},{"id":"https://openalex.org/keywords/weight-distribution","display_name":"Weight distribution","score":0.4132170081138611},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.3558461666107178},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24354597926139832},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13883227109909058},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.09851199388504028},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.09825184941291809},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06659826636314392},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06252613663673401}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8452659845352173},{"id":"https://openalex.org/C39635130","wikidata":"https://www.wikidata.org/wiki/Q7226636","display_name":"Polynomial code","level":5,"score":0.7286044359207153},{"id":"https://openalex.org/C87619178","wikidata":"https://www.wikidata.org/wiki/Q126002","display_name":"Concatenation (mathematics)","level":2,"score":0.6318811774253845},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.6089465618133545},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5448737740516663},{"id":"https://openalex.org/C73666251","wikidata":"https://www.wikidata.org/wiki/Q5310189","display_name":"Dual code","level":5,"score":0.5433810353279114},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5405856370925903},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.5249968767166138},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5163941979408264},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5076662302017212},{"id":"https://openalex.org/C2096984","wikidata":"https://www.wikidata.org/wiki/Q245464","display_name":"Cyclic code","level":5,"score":0.4956585168838501},{"id":"https://openalex.org/C197242373","wikidata":"https://www.wikidata.org/wiki/Q5163613","display_name":"Constant-weight code","level":5,"score":0.4934145510196686},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.4733845293521881},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.4572983682155609},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.4568610191345215},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.4527287483215332},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44871336221694946},{"id":"https://openalex.org/C156350748","wikidata":"https://www.wikidata.org/wiki/Q5513324","display_name":"GF(2)","level":3,"score":0.4346776008605957},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4328480064868927},{"id":"https://openalex.org/C25432639","wikidata":"https://www.wikidata.org/wiki/Q3711790","display_name":"Weight distribution","level":2,"score":0.4132170081138611},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.3558461666107178},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24354597926139832},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13883227109909058},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.09851199388504028},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.09825184941291809},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06659826636314392},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06252613663673401},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0166-218x(00)00348-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(00)00348-6","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"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 Applied Mathematics","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":14,"referenced_works":["https://openalex.org/W1194192780","https://openalex.org/W1606480398","https://openalex.org/W1866391720","https://openalex.org/W2010825458","https://openalex.org/W2034619007","https://openalex.org/W2038681062","https://openalex.org/W2057616013","https://openalex.org/W2065743807","https://openalex.org/W2073098064","https://openalex.org/W2103780699","https://openalex.org/W2138623837","https://openalex.org/W3144798926","https://openalex.org/W3151140615","https://openalex.org/W6602554868"],"related_works":["https://openalex.org/W1999721813","https://openalex.org/W3008704690","https://openalex.org/W2377508920","https://openalex.org/W2886619161","https://openalex.org/W2533621910","https://openalex.org/W4245351974","https://openalex.org/W3100288140","https://openalex.org/W1989332790","https://openalex.org/W4387972755","https://openalex.org/W1973797880"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":6},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}