{"id":"https://openalex.org/W2344427327","doi":"https://doi.org/10.1109/iwsda.2015.7458415","title":"On a conjecture about a class of optimal ternary cyclic codes","display_name":"On a conjecture about a class of optimal ternary cyclic codes","publication_year":2015,"publication_date":"2015-09-01","ids":{"openalex":"https://openalex.org/W2344427327","doi":"https://doi.org/10.1109/iwsda.2015.7458415","mag":"2344427327"},"language":"en","primary_location":{"id":"doi:10.1109/iwsda.2015.7458415","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iwsda.2015.7458415","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100400586","display_name":"Nian Li","orcid":"https://orcid.org/0000-0003-4913-7844"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Nian Li","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004913173","display_name":"Zhengchun Zhou","orcid":"https://orcid.org/0000-0002-0228-7119"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengchun Zhou","raw_affiliation_strings":["School of Mathematics, Southwest Jiaotong University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026698531","display_name":"Tor Helleseth","orcid":"https://orcid.org/0000-0003-1290-3541"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Tor Helleseth","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4115,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.62101849,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"62","last_page":"65"},"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":0.9868999719619751,"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":0.980400025844574,"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/conjecture","display_name":"Conjecture","score":0.6954097747802734},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5311169624328613},{"id":"https://openalex.org/keywords/ternary-operation","display_name":"Ternary operation","score":0.42163461446762085},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40031909942626953},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38177403807640076},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34681928157806396},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34442299604415894},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2872374653816223},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2553810179233551},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11708995699882507}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6954097747802734},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5311169624328613},{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.42163461446762085},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40031909942626953},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38177403807640076},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34681928157806396},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34442299604415894},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2872374653816223},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2553810179233551},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11708995699882507}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iwsda.2015.7458415","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iwsda.2015.7458415","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W149695902","https://openalex.org/W1587687098","https://openalex.org/W1967648774","https://openalex.org/W2012525201","https://openalex.org/W2028650019","https://openalex.org/W2029487152","https://openalex.org/W2037565534","https://openalex.org/W2048316651","https://openalex.org/W2083108312","https://openalex.org/W2094825109","https://openalex.org/W2117293282","https://openalex.org/W2123695891","https://openalex.org/W2134732546","https://openalex.org/W2144789980","https://openalex.org/W2148225705","https://openalex.org/W2153936403","https://openalex.org/W2155646763","https://openalex.org/W2963011145"],"related_works":["https://openalex.org/W2070443794","https://openalex.org/W3194471551","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W2914488349","https://openalex.org/W2193481349","https://openalex.org/W260863705","https://openalex.org/W2039864950","https://openalex.org/W4288279572","https://openalex.org/W921290243"],"abstract_inverted_index":{"Cyclic":[0],"codes":[1,8,88],"are":[2],"an":[3,105],"important":[4],"class":[5,83],"of":[6,42,84],"linear":[7],"and":[9,23,77,108],"have":[10],"been":[11],"widely":[12],"used":[13],"in":[14,79],"many":[15],"areas":[16],"such":[17],"as":[18],"consumer":[19],"electronics,":[20],"data":[21],"storage":[22],"communication":[24],"systems.":[25],"Let":[26],"C(1,e)denote":[27],"the":[28,47],"cyclic":[29,87],"code":[30],"with":[31,93],"generator":[32],"polynomial":[33,49],"m\u03b1(x)m\u03b1e":[34],"(x),":[35],"where":[36,100],"\u03b1":[37],"is":[38,98,104],"a":[39,72,82],"primitive":[40],"element":[41],"F3mand":[43],"m\u03b1i":[44],"(x)":[45],"denotes":[46],"minimal":[48],"of\u03b1i":[50],"over":[51,69],"F3for":[52],"1":[53,103],"\u2264":[54,56,110,112],"i":[55],"3m-1.":[57],"In":[58],"this":[59],"paper,":[60],"through":[61],"some":[62],"subtle":[63],"manipulation":[64],"on":[65],"solving":[66],"certain":[67],"equations":[68],"finite":[70],"fields,":[71],"conjecture":[73],"proposed":[74],"by":[75],"Ding":[76],"Helleseth":[78],"2013":[80],"about":[81],"optimal":[85],"ternary":[86],"C(1,e)for":[89],"e":[90],"=":[91],"2(1+3h)":[92],"parameters":[94],"[3m-1,":[95],"3m-1-2m,":[96],"4]":[97],"settled,":[99],"m":[101],">":[102],"odd":[106],"integer":[107],"0":[109],"h":[111],"m-1.":[113]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":6},{"year":2017,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
