{"id":"https://openalex.org/W2975242165","doi":"https://doi.org/10.1109/isit.2019.8849464","title":"Constructive spherical codes in 2 <sup>k</sup> dimensions","display_name":"Constructive spherical codes in 2 <sup>k</sup> dimensions","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2975242165","doi":"https://doi.org/10.1109/isit.2019.8849464","mag":"2975242165"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2019.8849464","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849464","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-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/A5010865156","display_name":"Henrique K. Miyamoto","orcid":"https://orcid.org/0000-0003-1131-2790"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Henrique K. Miyamoto","raw_affiliation_strings":["University of Campinas, FEEC, Brazil","UNICAMP - Universidade Estadual de Campinas =  University of Campinas (Cidade Universit\u00e1ria 'Zeferino Vaz'\r\nCEP 13083-970 | Campinas-SP - Brazil)"],"affiliations":[{"raw_affiliation_string":"University of Campinas, FEEC, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"UNICAMP - Universidade Estadual de Campinas =  University of Campinas (Cidade Universit\u00e1ria 'Zeferino Vaz'\r\nCEP 13083-970 | Campinas-SP - Brazil)","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085214276","display_name":"Henrique N. S\u00e1 Earp","orcid":"https://orcid.org/0000-0003-0475-4494"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Henrique N. S\u00e1 Earp","raw_affiliation_strings":["University of Campinas, IMECC, Brazil","UNICAMP - Universidade Estadual de Campinas =  University of Campinas (Cidade Universit\u00e1ria 'Zeferino Vaz'\r\nCEP 13083-970 | Campinas-SP - Brazil)"],"affiliations":[{"raw_affiliation_string":"University of Campinas, IMECC, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"UNICAMP - Universidade Estadual de Campinas =  University of Campinas (Cidade Universit\u00e1ria 'Zeferino Vaz'\r\nCEP 13083-970 | Campinas-SP - Brazil)","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077453229","display_name":"Sueli I. R. Costa","orcid":"https://orcid.org/0000-0002-8837-9291"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Sueli I. R. Costa","raw_affiliation_strings":["University of Campinas, IMECC, Brazil","UNICAMP - Universidade Estadual de Campinas =  University of Campinas (Cidade Universit\u00e1ria 'Zeferino Vaz'\r\nCEP 13083-970 | Campinas-SP - Brazil)"],"affiliations":[{"raw_affiliation_string":"University of Campinas, IMECC, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"UNICAMP - Universidade Estadual de Campinas =  University of Campinas (Cidade Universit\u00e1ria 'Zeferino Vaz'\r\nCEP 13083-970 | Campinas-SP - Brazil)","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010865156"],"corresponding_institution_ids":["https://openalex.org/I181391015"],"apc_list":null,"apc_paid":null,"fwci":0.1447,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.58484694,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"1612","last_page":"1616"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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":0.9997000098228455,"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/T10849","display_name":"Finite Group Theory Research","score":0.9822999835014343,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9782999753952026,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/constructive","display_name":"Constructive","score":0.5221253037452698},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5044988393783569},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4418811500072479},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3823992908000946},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3510110080242157},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.28820252418518066},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.260762095451355},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11540958285331726}],"concepts":[{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5221253037452698},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5044988393783569},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4418811500072479},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3823992908000946},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3510110080242157},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28820252418518066},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.260762095451355},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11540958285331726},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2019.8849464","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849464","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-04720838v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04720838","pdf_url":null,"source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT), Jul 2019, Paris, France. pp.1612-1616, &#x27E8;10.1109/ISIT.2019.8849464&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W76165185","https://openalex.org/W80223295","https://openalex.org/W636644511","https://openalex.org/W1559601530","https://openalex.org/W1994897752","https://openalex.org/W2026986224","https://openalex.org/W2027891831","https://openalex.org/W2041102645","https://openalex.org/W2085849004","https://openalex.org/W2092247859","https://openalex.org/W2098936473","https://openalex.org/W2165750745","https://openalex.org/W2183208042","https://openalex.org/W2326439758","https://openalex.org/W2744733994","https://openalex.org/W2771455644","https://openalex.org/W2771712241","https://openalex.org/W3037037800","https://openalex.org/W3080519015","https://openalex.org/W3110217282","https://openalex.org/W4235693166","https://openalex.org/W4253979845","https://openalex.org/W4292408570","https://openalex.org/W4376581726"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2377770720","https://openalex.org/W94411513","https://openalex.org/W4311883357","https://openalex.org/W2358668433","https://openalex.org/W4396701345"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,23,65,69,91],"new":[3],"approach":[4],"to":[5],"construct":[6],"spherical":[7],"codes":[8],"in":[9,58,72,85],"2":[10,60],"<sup":[11,26,38,47,61,74],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[12,27,35,39,44,48,62,75],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">k</sup>":[13,63],"dimensions,":[14],"based":[15],"on":[16],"Hopf":[17],"foliations.":[18],"Using":[19],"the":[20],"fact":[21],"that":[22],"sphere":[24],"S":[25,33,42],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2n-1</sup>":[28],"is":[29],"foliated":[30],"by":[31],"manifolds":[32],"<sub":[34,43],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">cos":[36],"\u03b7</sub>":[37,46],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n-1</sup>":[40,49],"\u00d7":[41],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">sin":[45],",":[50],"\u03b7":[51],"\u2208":[52],"[0,":[53],"\u03c0/2],":[54],"we":[55],"distribute":[56],"points":[57],"dimension":[59],"via":[64],"recursive":[66],"algorithm":[67],"from":[68],"basic":[70],"construction":[71],"R":[73],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">4</sup>":[76],".":[77],"Our":[78],"procedure":[79],"outperforms":[80],"some":[81],"current":[82],"constructive":[83],"methods":[84],"several":[86],"small-distance":[87],"regimes":[88],"and":[89,95],"constitutes":[90],"compromise":[92],"between":[93],"optimality":[94],"computational":[96],"effort.":[97]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
