{"id":"https://openalex.org/W4387146063","doi":"https://doi.org/10.1109/access.2023.3320559","title":"Applications of Strongly Regular Cayley Graphs to Codebooks","display_name":"Applications of Strongly Regular Cayley Graphs to Codebooks","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4387146063","doi":"https://doi.org/10.1109/access.2023.3320559"},"language":"en","primary_location":{"id":"doi:10.1109/access.2023.3320559","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3320559","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10266353.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10266353.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058092999","display_name":"Qiuyan Wang","orcid":"https://orcid.org/0000-0001-9826-8272"},"institutions":[{"id":"https://openalex.org/I198091727","display_name":"Tiangong University","ror":"https://ror.org/00xsr9m91","country_code":"CN","type":"education","lineage":["https://openalex.org/I198091727"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qiuyan Wang","raw_affiliation_strings":["School of Computer Science and Technology, Tiangong University, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Tiangong University, Tianjin, China","institution_ids":["https://openalex.org/I198091727"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057585043","display_name":"Xiaodan Liang","orcid":"https://orcid.org/0000-0003-3767-2444"},"institutions":[{"id":"https://openalex.org/I198091727","display_name":"Tiangong University","ror":"https://ror.org/00xsr9m91","country_code":"CN","type":"education","lineage":["https://openalex.org/I198091727"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaodan Liang","raw_affiliation_strings":["School of Computer Science and Technology, Tiangong University, Tianjin, China","Engineering Research Center of Integration and Application of Digital Learning Technology, Ministry of Education, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Tiangong University, Tianjin, China","institution_ids":["https://openalex.org/I198091727"]},{"raw_affiliation_string":"Engineering Research Center of Integration and Application of Digital Learning Technology, Ministry of Education, Beijing, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022686531","display_name":"Rize Jin","orcid":"https://orcid.org/0000-0001-5537-0744"},"institutions":[{"id":"https://openalex.org/I198091727","display_name":"Tiangong University","ror":"https://ror.org/00xsr9m91","country_code":"CN","type":"education","lineage":["https://openalex.org/I198091727"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rize Jin","raw_affiliation_strings":["School of Software, Tiangong University, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"School of Software, Tiangong University, Tianjin, China","institution_ids":["https://openalex.org/I198091727"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100318832","display_name":"Yang Yan","orcid":"https://orcid.org/0000-0001-7694-2801"},"institutions":[{"id":"https://openalex.org/I133270356","display_name":"Tianjin University of Technology and Education","ror":"https://ror.org/035gwtk09","country_code":"CN","type":"education","lineage":["https://openalex.org/I133270356"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Yan","raw_affiliation_strings":["School of Information Technology and Engineering, Tianjin University of Technology and Education, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"School of Information Technology and Engineering, Tianjin University of Technology and Education, Tianjin, China","institution_ids":["https://openalex.org/I133270356"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5058092999"],"corresponding_institution_ids":["https://openalex.org/I198091727"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.6913,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76155578,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"11","issue":null,"first_page":"106980","last_page":"106986"},"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/T10849","display_name":"Finite Group Theory Research","score":0.9991000294685364,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.8740699291229248},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6827201843261719},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6221632361412048},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.558923065662384},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5230903625488281},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5086775422096252},{"id":"https://openalex.org/keywords/cayley-transform","display_name":"Cayley transform","score":0.43784815073013306},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2953184247016907},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.10193130373954773},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09378159046173096},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.06075316667556763}],"concepts":[{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.8740699291229248},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6827201843261719},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6221632361412048},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.558923065662384},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5230903625488281},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5086775422096252},{"id":"https://openalex.org/C18586221","wikidata":"https://www.wikidata.org/wiki/Q2778065","display_name":"Cayley transform","level":5,"score":0.43784815073013306},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2953184247016907},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.10193130373954773},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09378159046173096},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.06075316667556763},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2023.3320559","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3320559","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10266353.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:be32e921bfc0440faa551c8217e25df4","is_oa":true,"landing_page_url":"https://doaj.org/article/be32e921bfc0440faa551c8217e25df4","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 11, Pp 106980-106986 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2023.3320559","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3320559","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10266353.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7591874066","display_name":null,"funder_award_id":"22YJC870018","funder_id":"https://openalex.org/F4320321106","funder_display_name":"Ministry of Education of the People's Republic of China"},{"id":"https://openalex.org/G7681024666","display_name":null,"funder_award_id":"22YJC870018","funder_id":"https://openalex.org/F4320336573","funder_display_name":"Humanities and Social Sciences Youth Foundation, Ministry of Education of the People's Republic of China"}],"funders":[{"id":"https://openalex.org/F4320321106","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934"},{"id":"https://openalex.org/F4320336573","display_name":"Humanities and Social Sciences Youth Foundation, Ministry of Education of the People's Republic of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387146063.pdf","grobid_xml":"https://content.openalex.org/works/W4387146063.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1535858642","https://openalex.org/W1542496577","https://openalex.org/W1965122162","https://openalex.org/W1966750408","https://openalex.org/W1969361248","https://openalex.org/W2018047324","https://openalex.org/W2023290000","https://openalex.org/W2055534411","https://openalex.org/W2074863717","https://openalex.org/W2110673833","https://openalex.org/W2138548210","https://openalex.org/W2150052232","https://openalex.org/W2496865975","https://openalex.org/W2605907766","https://openalex.org/W2768518515","https://openalex.org/W2908727703","https://openalex.org/W3000721332","https://openalex.org/W3005571933","https://openalex.org/W3012454402","https://openalex.org/W3017473765","https://openalex.org/W3115562122","https://openalex.org/W3118872769","https://openalex.org/W3127029208","https://openalex.org/W6770707652","https://openalex.org/W6996856713"],"related_works":["https://openalex.org/W2963188491","https://openalex.org/W3139700519","https://openalex.org/W4205105712","https://openalex.org/W2009927663","https://openalex.org/W2348558285","https://openalex.org/W4298173932","https://openalex.org/W1983083559","https://openalex.org/W2320114089","https://openalex.org/W2373753635","https://openalex.org/W4213105785"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"give":[4],"a":[5,29],"construction":[6],"of":[7,23,31],"strongly":[8,25],"regular":[9,26],"Cayley":[10,27],"graphs":[11],"on":[12],"the":[13,44],"finite":[14],"field":[15],"F":[16],"<sub":[17],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[18],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><i>q</i><sup><i>n</i></sup></sub>":[19],".":[20],"As":[21],"applications":[22],"these":[24,49],"graphs,":[28],"class":[30],"codebooks":[32,51],"is":[33],"presented":[34],"and":[35],"proved":[36],"to":[37,43],"be":[38],"asymptotically":[39],"optimal":[40],"with":[41],"respect":[42],"Welch":[45],"bound.":[46],"Further":[47],"more,":[48],"constructed":[50],"have":[52],"new":[53],"parameters.":[54]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}