{"id":"https://openalex.org/W4285188072","doi":"https://doi.org/10.1109/access.2022.3188696","title":"Two Families of Optimal Ternary Cyclic Codes With Two Zeros","display_name":"Two Families of Optimal Ternary Cyclic Codes With Two Zeros","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4285188072","doi":"https://doi.org/10.1109/access.2022.3188696"},"language":"en","primary_location":{"id":"doi:10.1109/access.2022.3188696","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3188696","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09815241.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/ielx7/6287639/6514899/09815241.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047365248","display_name":"Jinmei Fan","orcid":"https://orcid.org/0000-0001-7805-5931"},"institutions":[{"id":"https://openalex.org/I38706770","display_name":"Guilin University of Technology","ror":"https://ror.org/03z391397","country_code":"CN","type":"education","lineage":["https://openalex.org/I38706770"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jinmei Fan","raw_affiliation_strings":["College of Science, Guilin University of Technology, Guilin, China"],"raw_orcid":"https://orcid.org/0000-0001-7805-5931","affiliations":[{"raw_affiliation_string":"College of Science, Guilin University of Technology, Guilin, China","institution_ids":["https://openalex.org/I38706770"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002528308","display_name":"Binseng Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I38706770","display_name":"Guilin University of Technology","ror":"https://ror.org/03z391397","country_code":"CN","type":"education","lineage":["https://openalex.org/I38706770"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Binseng Wang","raw_affiliation_strings":["College of Science, Guilin University of Technology, Guilin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Guilin University of Technology, Guilin, China","institution_ids":["https://openalex.org/I38706770"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047365248"],"corresponding_institution_ids":["https://openalex.org/I38706770"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.4166,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.67775149,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"10","issue":null,"first_page":"72290","last_page":"72300"},"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9890999794006348,"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":0.9782999753952026,"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/finite-field","display_name":"Finite field","score":0.6976760625839233},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5918524861335754},{"id":"https://openalex.org/keywords/cyclic-code","display_name":"Cyclic code","score":0.5253745317459106},{"id":"https://openalex.org/keywords/ternary-operation","display_name":"Ternary operation","score":0.5183575749397278},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.4849146008491516},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44447600841522217},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.40703460574150085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38811194896698},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.334104061126709},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3316860795021057},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20246565341949463},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1658763289451599}],"concepts":[{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6976760625839233},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5918524861335754},{"id":"https://openalex.org/C2096984","wikidata":"https://www.wikidata.org/wiki/Q245464","display_name":"Cyclic code","level":5,"score":0.5253745317459106},{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.5183575749397278},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.4849146008491516},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44447600841522217},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.40703460574150085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38811194896698},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.334104061126709},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3316860795021057},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20246565341949463},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1658763289451599},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2022.3188696","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3188696","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09815241.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:5c4428ec24a7450b80f89db1c62f712f","is_oa":true,"landing_page_url":"https://doaj.org/article/5c4428ec24a7450b80f89db1c62f712f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 10, Pp 72290-72300 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2022.3188696","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3188696","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09815241.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/G202125655","display_name":null,"funder_award_id":"12061027","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4285188072.pdf","grobid_xml":"https://content.openalex.org/works/W4285188072.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W2039170351","https://openalex.org/W2048316651","https://openalex.org/W2094825109","https://openalex.org/W2123695891","https://openalex.org/W2134732546","https://openalex.org/W2137451425","https://openalex.org/W2153936403","https://openalex.org/W2218036766","https://openalex.org/W2342825903","https://openalex.org/W2344427327","https://openalex.org/W2612991769","https://openalex.org/W2732251371","https://openalex.org/W2888200295","https://openalex.org/W2947505990","https://openalex.org/W2963051664","https://openalex.org/W2979768263","https://openalex.org/W3013959785","https://openalex.org/W3189288785","https://openalex.org/W3198025115","https://openalex.org/W4206775542"],"related_works":["https://openalex.org/W135568846","https://openalex.org/W2460434904","https://openalex.org/W1789159349","https://openalex.org/W2113911300","https://openalex.org/W2151857680","https://openalex.org/W4386066307","https://openalex.org/W832867880","https://openalex.org/W917159298","https://openalex.org/W1975697476","https://openalex.org/W1992135520"],"abstract_inverted_index":{"Cyclic":[0],"codes":[1,8,39,55,73],"are":[2,48],"an":[3],"important":[4],"subclass":[5],"of":[6,35,53,71,86,102],"linear":[7],"and":[9,19,27,60,78],"have":[10,24],"wide":[11],"applications":[12],"in":[13],"consumer":[14],"electronics,":[15],"data":[16],"storage":[17],"systems":[18,21],"communication":[20],"as":[22],"they":[23],"efficient":[25],"encoding":[26],"decoding":[28],"algorithms.":[29],"In":[30],"this":[31],"paper,":[32],"two":[33,57,75],"families":[34],"optimal":[36],"ternary":[37],"cyclic":[38,54,72],"with":[40,56,74,89],"parameters":[41],"[3<sup><i>m</i></sup>":[42],"-1,":[43,46],"3<sup><i>m</i></sup>":[44],"-2<i>m</i>":[45],"4]":[47],"presented.":[49],"The":[50,68],"first":[51],"family":[52,70],"zeros":[58,76],"&#x03C0;":[59,98],"&#x03C0;<sup><i>v</i></sup>":[61,79],"is":[62,80,99],"constructed":[63],"by":[64,82],"using":[65],"multivariate":[66],"method.":[67],"second":[69],"&#x03C0;<sup>2</sup>":[77],"obtained":[81],"analyzing":[83],"irreducible":[84],"factors":[85],"certain":[87],"polynomials":[88],"finite":[90,94],"degrees":[91],"over":[92],"the":[93],"field":[95],"F<sub>3<sup><i>m</i></sup></sub>,":[96],"where":[97],"a":[100],"generator":[101],"F*<sub>3<sup><i>m</i></sup></sub>.":[103]},"counts_by_year":[{"year":2024,"cited_by_count":3}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}