{"id":"https://openalex.org/W1921018655","doi":"https://doi.org/10.1109/isit.2015.7282886","title":"Information sets of Multiplicity codes","display_name":"Information sets of Multiplicity codes","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1921018655","doi":"https://doi.org/10.1109/isit.2015.7282886","mag":"1921018655"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2015.7282886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282886","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1509.00279","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035914152","display_name":"Daniel Augot","orcid":"https://orcid.org/0000-0002-4284-3319"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210126360","display_name":"Centre Inria de Saclay","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Daniel Augot","raw_affiliation_strings":["INRIA Saclay and LIX B\u00e2timent Alan Turing 1 rue Honor\u00e9 d'Estienne d'Orves 91120 Palaiseau","INRIA Saclay and LIX, B\u00e2timent Alan Turing, 1 rue Honor\u00e9 d'Estienne d'Orves, 91120 Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"INRIA Saclay and LIX B\u00e2timent Alan Turing 1 rue Honor\u00e9 d'Estienne d'Orves 91120 Palaiseau","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA Saclay and LIX, B\u00e2timent Alan Turing, 1 rue Honor\u00e9 d'Estienne d'Orves, 91120 Palaiseau, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111986285","display_name":"Fran\u00e7oise Levy-dit-Vehel","orcid":null},"institutions":[{"id":"https://openalex.org/I201181511","display_name":"\u00c9cole Nationale Sup\u00e9rieure de Techniques Avanc\u00e9es","ror":"https://ror.org/0309cs235","country_code":"FR","type":"education","lineage":["https://openalex.org/I201181511","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Francoise Levy-dit-Vehel","raw_affiliation_strings":["ENSTA ParisTech 828 boulevard des Mar\u00e9chaux","ENSTA ParisTech, 828 boulevard des Mar\u00e9chaux, 91762 Palaiseau, INRIA Saclay and LIX, France"],"affiliations":[{"raw_affiliation_string":"ENSTA ParisTech 828 boulevard des Mar\u00e9chaux","institution_ids":["https://openalex.org/I201181511"]},{"raw_affiliation_string":"ENSTA ParisTech, 828 boulevard des Mar\u00e9chaux, 91762 Palaiseau, INRIA Saclay and LIX, France","institution_ids":["https://openalex.org/I201181511"]}]},{"author_position":"last","author":{"id":null,"display_name":"Cuong M. Ngo","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210126360","display_name":"Centre Inria de Saclay","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Cuong M. Ngo","raw_affiliation_strings":["INRIA Saclay and LIX B\u00e2timent Alan Turing 1 rue Honor\u00e9 d'Estienne d'Orves, Palaiseau","INRIA Saclay and LIX, B\u00e2timent Alan Turing, 1 rue Honor\u00e9 d'Estienne d'Orves, 91120 Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"INRIA Saclay and LIX B\u00e2timent Alan Turing 1 rue Honor\u00e9 d'Estienne d'Orves, Palaiseau","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA Saclay and LIX, B\u00e2timent Alan Turing, 1 rue Honor\u00e9 d'Estienne d'Orves, 91120 Palaiseau, France","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035914152"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"],"apc_list":null,"apc_paid":null,"fwci":0.8903,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.8242844,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"tr12 44","issue":null,"first_page":"2401","last_page":"2405"},"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":0.998199999332428,"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/T12029","display_name":"DNA and Biological Computing","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multiplicity","display_name":"Multiplicity (mathematics)","score":0.7137013673782349},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6422429084777832},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6291444301605225},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.542755126953125},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.5113093852996826},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39249077439308167},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3537575602531433},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26293057203292847},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1470451056957245}],"concepts":[{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.7137013673782349},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6422429084777832},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6291444301605225},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.542755126953125},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.5113093852996826},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39249077439308167},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3537575602531433},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26293057203292847},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1470451056957245},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2015.7282886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282886","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1509.00279","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1509.00279","pdf_url":"https://arxiv.org/pdf/1509.00279","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01188935v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01188935","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Information Theory (ISIT), 2015 IEEE International Symposium on , Jun 2015, Hong-Kong, China. pp.2401 - 2405, ⟨10.1109/ISIT.2015.7282886⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1509.00279","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1509.00279","pdf_url":"https://arxiv.org/pdf/1509.00279","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1967703498","https://openalex.org/W2001766583","https://openalex.org/W2013452229","https://openalex.org/W2021999231","https://openalex.org/W2063994293","https://openalex.org/W2093434772","https://openalex.org/W2161788512","https://openalex.org/W2611959999","https://openalex.org/W2914659449","https://openalex.org/W2918466505","https://openalex.org/W3037365189","https://openalex.org/W4299490515","https://openalex.org/W6684033262","https://openalex.org/W6780627135"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4394650907","https://openalex.org/W154364797","https://openalex.org/W4254119641","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W2576399385","https://openalex.org/W2963408011","https://openalex.org/W4236324517"],"abstract_inverted_index":{"We":[0,29,51],"here":[1],"provide":[2],"a":[3,54],"method":[4],"for":[5,34],"systematic":[6],"encoding":[7,60],"of":[8,27,41,44,57],"the":[9,42,58],"Multiplicity":[10],"codes":[11,36],"introduced":[12],"by":[13],"Kopparty,":[14],"Saraf":[15],"and":[16,37],"Yekhanin":[17],"in":[18],"2011.":[19],"The":[20],"construction":[21],"is":[22],"built":[23],"on":[24],"an":[25],"idea":[26],"Kopparty.":[28],"properly":[30],"define":[31],"information":[32],"sets":[33],"these":[35],"give":[38,53],"detailed":[39],"proofs":[40],"validity":[43],"Kopparty's":[45],"construction,":[46],"that":[47],"use":[48],"generating":[49],"functions.":[50],"also":[52],"complexity":[55],"estimate":[56],"associated":[59],"algorithm.":[61]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}