乐胖代购免代理版

{"id":"https://openalex.org/W3103742664","doi":"https://doi.org/10.1109/tit.2016.2611527","title":"The Next-to-Minimal Weights of Binary Projective Reed\u2013Muller Codes","display_name":"The Next-to-Minimal Weights of Binary Projective Reed\u2013Muller Codes","publication_year":2016,"publication_date":"2016-09-20","ids":{"openalex":"https://openalex.org/W3103742664","doi":"https://doi.org/10.1109/tit.2016.2611527","mag":"3103742664"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2611527","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1701.01658","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002116564","display_name":"C\u00edcero Carvalho","orcid":"https://orcid.org/0000-0002-0527-7522"},"institutions":[{"id":"https://openalex.org/I80850581","display_name":"Universidade Federal de Uberl\u00e2ndia","ror":"https://ror.org/04x3wvr31","country_code":"BR","type":"education","lineage":["https://openalex.org/I80850581"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Cicero Carvalho","raw_affiliation_strings":["Faculdade de Matem\u00e1tica, Universidade Federal de Uberl\u00e2ndia, Uberl\u00e2ndia, MG, Brazil"],"affiliations":[{"raw_affiliation_string":"Faculdade de Matem\u00e1tica, Universidade Federal de Uberl\u00e2ndia, Uberl\u00e2ndia, MG, Brazil","institution_ids":["https://openalex.org/I80850581"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083874010","display_name":"V\u00edctor Neumann","orcid":"https://orcid.org/0000-0002-0572-7175"},"institutions":[{"id":"https://openalex.org/I80850581","display_name":"Universidade Federal de Uberl\u00e2ndia","ror":"https://ror.org/04x3wvr31","country_code":"BR","type":"education","lineage":["https://openalex.org/I80850581"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Victor G. L. Neumann","raw_affiliation_strings":["Faculdade de Matem\u00e1tica, Universidade Federal de Uberl\u00e2ndia, Uberl\u00e2ndia, MG, Brazil"],"affiliations":[{"raw_affiliation_string":"Faculdade de Matem\u00e1tica, Universidade Federal de Uberl\u00e2ndia, Uberl\u00e2ndia, MG, Brazil","institution_ids":["https://openalex.org/I80850581"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.443,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.941749,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":86,"max":87},"biblio":{"volume":"62","issue":"11","first_page":"6300","last_page":"6303"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9989,"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":0.9989,"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":0.9725,"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":0.9665,"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/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.65805405},{"id":"https://openalex.org/keywords/hamming-weight","display_name":"Hamming weight","score":0.64202595},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.5757725},{"id":"https://openalex.org/keywords/coding-theory","display_name":"Coding theory","score":0.546936},{"id":"https://openalex.org/keywords/binary-code","display_name":"Binary code","score":0.508347},{"id":"https://openalex.org/keywords/hamming","display_name":"Hamming(7,4)","score":0.49921393},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.4728482},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.45153743},{"id":"https://openalex.org/keywords/hamming-graph","display_name":"Hamming graph","score":0.43225905},{"id":"https://openalex.org/keywords/constant-weight-code","display_name":"Constant-weight code","score":0.42793596}],"concepts":[{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.74501467},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.73932505},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.65805405},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.64202595},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.61824083},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5757725},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.546936},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5285736},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.51575994},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.508347},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5015271},{"id":"https://openalex.org/C112932734","wikidata":"https://www.wikidata.org/wiki/Q2322550","display_name":"Hamming(7,4)","level":5,"score":0.49921393},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.4728482},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.470495},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.45153743},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.43931273},{"id":"https://openalex.org/C29696283","wikidata":"https://www.wikidata.org/wiki/Q369440","display_name":"Hamming graph","level":5,"score":0.43225905},{"id":"https://openalex.org/C197242373","wikidata":"https://www.wikidata.org/wiki/Q5163613","display_name":"Constant-weight code","level":5,"score":0.42793596},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.42159623},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.30149117},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17399237},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16047612},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.121979505}],"mesh":[],"locations_count":3,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2611527","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1701.01658","pdf_url":"https://arxiv.org/pdf/1701.01658","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.1701.01658","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1701.01658","pdf_url":"https://arxiv.org/pdf/1701.01658","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":["https://openalex.org/W2521997605","https://openalex.org/W3103742664"],"referenced_works_count":17,"referenced_works":["https://openalex.org/W196087707","https://openalex.org/W1992195618","https://openalex.org/W2004229705","https://openalex.org/W2009527740","https://openalex.org/W2020907711","https://openalex.org/W2029857487","https://openalex.org/W2031428201","https://openalex.org/W2063994293","https://openalex.org/W2073236804","https://openalex.org/W2073679775","https://openalex.org/W2082121337","https://openalex.org/W2116167902","https://openalex.org/W2121417875","https://openalex.org/W2330061858","https://openalex.org/W4241391312","https://openalex.org/W4285719527","https://openalex.org/W69764794"],"related_works":["https://openalex.org/W4300879987","https://openalex.org/W3103742664","https://openalex.org/W2982774419","https://openalex.org/W2964136540","https://openalex.org/W2786543974","https://openalex.org/W2740543340","https://openalex.org/W2364868136","https://openalex.org/W2106912783","https://openalex.org/W2105471374","https://openalex.org/W2008960744"],"abstract_inverted_index":{"Projective":[0],"Reed-Muller":[1,85,98],"codes":[2,99],"were":[3,15],"introduced":[4],"by":[5,17],"Lachaud":[6],"in":[7,21,30,100],"1988":[8],"and":[9,12,19],"their":[10],"dimension":[11],"minimum":[13],"distance":[14],"determined":[16],"Serre":[18],"Sorensen":[20],"1991.":[22],"In":[23,69],"coding":[24],"theory,":[25],"one":[26],"is":[27,66],"also":[28],"interested":[29],"the":[31,37,45,56,63,75,78,82,94],"higher":[32,46],"Hamming":[33,47],"weights,":[34],"to":[35,90,93],"study":[36],"code":[38],"performance.":[39],"Yet,":[40],"not":[41,54,103],"many":[42],"values":[43,76],"of":[44,77,97],"weights":[48],"are":[49],"known":[50,61],"for":[51,81],"these":[52],"codes,":[53,86],"even":[55],"second":[57],"lowest":[58],"weight":[59,80,96],"(also":[60],"as":[62],"next-to-minimal":[64,79,95],"weight)":[65],"completely":[67],"determined.":[68],"this":[70],"paper,":[71],"we":[72,88],"determine":[73],"all":[74],"binary":[83],"projective":[84],"which":[87],"show":[89],"be":[91],"equal":[92],"most,":[101],"but":[102],"all,":[104],"cases.":[105]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3103742664","counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2}],"updated_date":"2025-01-09T01:30:12.371430","created_date":"2020-11-23"}