{"id":"https://openalex.org/W2282998501","doi":"https://doi.org/10.1007/s00493-015-3024-z","title":"Tight lower bounds for linear 2-query LCCs over finite fields","display_name":"Tight lower bounds for linear 2-query LCCs over finite fields","publication_year":2015,"publication_date":"2015-11-28","ids":{"openalex":"https://openalex.org/W2282998501","doi":"https://doi.org/10.1007/s00493-015-3024-z","mag":"2282998501"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-015-3024-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-015-3024-z","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","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/A5102919901","display_name":"Arnab Bhattacharyya","orcid":"https://orcid.org/0000-0002-3648-5957"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I2799411422","display_name":"Center for Discrete Mathematics and Theoretical Computer Science","ror":"https://ror.org/00k551w06","country_code":"US","type":"facility","lineage":["https://openalex.org/I102322142","https://openalex.org/I118347220","https://openalex.org/I1283103587","https://openalex.org/I1311060795","https://openalex.org/I20089843","https://openalex.org/I2799411422","https://openalex.org/I4210107353"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Arnab Bhattacharyya","raw_affiliation_strings":["Center for Discrete Mathematics & Theoretical Computer Science and Rutgers University, New Brunswick, USA"],"affiliations":[{"raw_affiliation_string":"Center for Discrete Mathematics & Theoretical Computer Science and Rutgers University, New Brunswick, USA","institution_ids":["https://openalex.org/I2799411422","https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013053155","display_name":"Zeev Dvir","orcid":null},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zeev Dvir","raw_affiliation_strings":["Department of Computer Science, Princeton University, Princeton, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Princeton University, Princeton, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020540233","display_name":"Shubhangi Saraf","orcid":"https://orcid.org/0009-0005-0874-2978"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shubhangi Saraf","raw_affiliation_strings":["Department of Mathematics and Computer Science, Rutgers University, New Brunswick, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Rutgers University, New Brunswick, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":null,"display_name":"Amir Shpilka","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Amir Shpilka","raw_affiliation_strings":["Faculty of Computer Science, Technion - Israel Institute of Technology, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Technion - Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5102919901"],"corresponding_institution_ids":["https://openalex.org/I102322142","https://openalex.org/I2799411422"],"apc_list":null,"apc_paid":null,"fwci":2.0323,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.85073122,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"36","issue":"1","first_page":"1","last_page":"36"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9987000226974487,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9980999827384949,"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":0.8035221099853516},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.7779263854026794},{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.6367712020874023},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5810741782188416},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5353802442550659},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5040144324302673},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4974417984485626},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4936298131942749},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4724992513656616},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.15324905514717102},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14604631066322327},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0996755063533783},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09063899517059326},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06749379634857178}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8035221099853516},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.7779263854026794},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.6367712020874023},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5810741782188416},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5353802442550659},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5040144324302673},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4974417984485626},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4936298131942749},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4724992513656616},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.15324905514717102},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14604631066322327},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0996755063533783},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09063899517059326},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06749379634857178},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00493-015-3024-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-015-3024-z","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","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":18,"referenced_works":["https://openalex.org/W1507768330","https://openalex.org/W1991584875","https://openalex.org/W1995875735","https://openalex.org/W2000040997","https://openalex.org/W2000211775","https://openalex.org/W2001766583","https://openalex.org/W2074709558","https://openalex.org/W2091329824","https://openalex.org/W2120217745","https://openalex.org/W2126216220","https://openalex.org/W2126982151","https://openalex.org/W2129530428","https://openalex.org/W2145012723","https://openalex.org/W2149617935","https://openalex.org/W2342433841","https://openalex.org/W2568820294","https://openalex.org/W4230909286","https://openalex.org/W4250067307"],"related_works":["https://openalex.org/W88624181","https://openalex.org/W2910428196","https://openalex.org/W2369939250","https://openalex.org/W3185655986","https://openalex.org/W2118907425","https://openalex.org/W2494523064","https://openalex.org/W2277344664","https://openalex.org/W2895235410","https://openalex.org/W251429526","https://openalex.org/W2304380675"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
