{"id":"https://openalex.org/W1542496577","doi":"https://doi.org/10.1007/978-1-4471-0551-0_6","title":"Meeting the Welch Bound with Equality","display_name":"Meeting the Welch Bound with Equality","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W1542496577","doi":"https://doi.org/10.1007/978-1-4471-0551-0_6","mag":"1542496577"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4471-0551-0_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4471-0551-0_6","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sequences and their Applications","raw_type":"book-chapter"},"type":"book-chapter","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/A5070800719","display_name":"D.V. Sarwate","orcid":null},"institutions":[{"id":"https://openalex.org/I183874917","display_name":"Urbana University","ror":"https://ror.org/04kp3hw27","country_code":"US","type":"education","lineage":["https://openalex.org/I183874917"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dilip V. Sarwate","raw_affiliation_strings":["Department of Electrical and Computer Engineering and the Coordinated Science Laboratory, 1308 West Main Street, Urbana, IL 61801, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and the Coordinated Science Laboratory, 1308 West Main Street, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I183874917"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5070800719"],"corresponding_institution_ids":["https://openalex.org/I183874917"],"apc_list":null,"apc_paid":null,"fwci":1.443,"has_fulltext":false,"cited_by_count":173,"citation_normalized_percentile":{"value":0.80958696,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"79","last_page":"102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10575","display_name":"Wireless Communication Networks Research","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.7102176547050476},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6648427248001099},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5577401518821716},{"id":"https://openalex.org/keywords/square-root","display_name":"Square root","score":0.5541594624519348},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4606066048145294},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.43514353036880493},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4287334084510803},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4138389229774475},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4006566107273102},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.397649884223938},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35517993569374084},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21721020340919495},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1483289897441864},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07663741707801819}],"concepts":[{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.7102176547050476},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6648427248001099},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5577401518821716},{"id":"https://openalex.org/C11577676","wikidata":"https://www.wikidata.org/wiki/Q134237","display_name":"Square root","level":2,"score":0.5541594624519348},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4606066048145294},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.43514353036880493},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4287334084510803},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4138389229774475},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4006566107273102},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.397649884223938},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35517993569374084},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21721020340919495},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1483289897441864},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07663741707801819},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4471-0551-0_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4471-0551-0_6","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sequences and their Applications","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W604518226","https://openalex.org/W1483920764","https://openalex.org/W1589291987","https://openalex.org/W1606480398","https://openalex.org/W1688623590","https://openalex.org/W1988614050","https://openalex.org/W1995836354","https://openalex.org/W2003010976","https://openalex.org/W2006296282","https://openalex.org/W2011540637","https://openalex.org/W2012671328","https://openalex.org/W2015049075","https://openalex.org/W2016876723","https://openalex.org/W2024674802","https://openalex.org/W2036201099","https://openalex.org/W2038681062","https://openalex.org/W2042799657","https://openalex.org/W2055444053","https://openalex.org/W2067096554","https://openalex.org/W2081825044","https://openalex.org/W2102740236","https://openalex.org/W2107156580","https://openalex.org/W2109672127","https://openalex.org/W2111480743","https://openalex.org/W2116119493","https://openalex.org/W2122293472","https://openalex.org/W2138548210","https://openalex.org/W2153603025","https://openalex.org/W2158240998","https://openalex.org/W2166963467","https://openalex.org/W2172233005","https://openalex.org/W2294688254","https://openalex.org/W4285719527","https://openalex.org/W4300399882","https://openalex.org/W6696756241","https://openalex.org/W6826172668"],"related_works":["https://openalex.org/W3102623159","https://openalex.org/W2389267936","https://openalex.org/W2010941966","https://openalex.org/W140150844","https://openalex.org/W2098876649","https://openalex.org/W4235558922","https://openalex.org/W2217961521","https://openalex.org/W2099873975","https://openalex.org/W2366911843","https://openalex.org/W2153876829"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":11}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}