{"id":"https://openalex.org/W4294811735","doi":"https://doi.org/10.1109/iwsda50346.2022.9870610","title":"Construction of A Class of Minimal Linear Codes","display_name":"Construction of A Class of Minimal Linear Codes","publication_year":2022,"publication_date":"2022-08-01","ids":{"openalex":"https://openalex.org/W4294811735","doi":"https://doi.org/10.1109/iwsda50346.2022.9870610"},"language":"en","primary_location":{"id":"doi:10.1109/iwsda50346.2022.9870610","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iwsda50346.2022.9870610","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 10th International Workshop on Signal Design and Its Applications in Communications (IWSDA)","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/A5115695502","display_name":"Tianxin Wang","orcid":"https://orcid.org/0000-0002-5210-1853"},"institutions":[{"id":"https://openalex.org/I68986083","display_name":"Northwest Normal University","ror":"https://ror.org/00gx3j908","country_code":"CN","type":"education","lineage":["https://openalex.org/I68986083"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tianxin Wang","raw_affiliation_strings":["College of Mathematics and Statistics Northwest Normal University,Lanzhou,China","College of Mathematics and Statistics Northwest Normal University, Lanzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics Northwest Normal University,Lanzhou,China","institution_ids":["https://openalex.org/I68986083"]},{"raw_affiliation_string":"College of Mathematics and Statistics Northwest Normal University, Lanzhou, China","institution_ids":["https://openalex.org/I68986083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101507366","display_name":"Xiaoni Du","orcid":"https://orcid.org/0000-0003-3997-7196"},"institutions":[{"id":"https://openalex.org/I68986083","display_name":"Northwest Normal University","ror":"https://ror.org/00gx3j908","country_code":"CN","type":"education","lineage":["https://openalex.org/I68986083"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoni Du","raw_affiliation_strings":["College of Mathematics and Statistics Northwest Normal University,Lanzhou,China","College of Mathematics and Statistics Northwest Normal University, Lanzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics Northwest Normal University,Lanzhou,China","institution_ids":["https://openalex.org/I68986083"]},{"raw_affiliation_string":"College of Mathematics and Statistics Northwest Normal University, Lanzhou, China","institution_ids":["https://openalex.org/I68986083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033792776","display_name":"Wengang Jin","orcid":null},"institutions":[{"id":"https://openalex.org/I68986083","display_name":"Northwest Normal University","ror":"https://ror.org/00gx3j908","country_code":"CN","type":"education","lineage":["https://openalex.org/I68986083"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wengang Jin","raw_affiliation_strings":["College of Mathematics and Statistics Northwest Normal University,Lanzhou,China","College of Mathematics and Statistics Northwest Normal University, Lanzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics Northwest Normal University,Lanzhou,China","institution_ids":["https://openalex.org/I68986083"]},{"raw_affiliation_string":"College of Mathematics and Statistics Northwest Normal University, Lanzhou, China","institution_ids":["https://openalex.org/I68986083"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022216472","display_name":"Yanzhong Sun","orcid":"https://orcid.org/0000-0001-5723-9512"},"institutions":[{"id":"https://openalex.org/I68986083","display_name":"Northwest Normal University","ror":"https://ror.org/00gx3j908","country_code":"CN","type":"education","lineage":["https://openalex.org/I68986083"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanzhong Sun","raw_affiliation_strings":["College of Mathematics and Statistics Northwest Normal University,Lanzhou,China","College of Mathematics and Statistics Northwest Normal University, Lanzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics Northwest Normal University,Lanzhou,China","institution_ids":["https://openalex.org/I68986083"]},{"raw_affiliation_string":"College of Mathematics and Statistics Northwest Normal University, Lanzhou, China","institution_ids":["https://openalex.org/I68986083"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5115695502"],"corresponding_institution_ids":["https://openalex.org/I68986083"],"apc_list":null,"apc_paid":null,"fwci":0.1326,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.52725714,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"39","issue":null,"first_page":"1","last_page":"5"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9983999729156494,"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/secret-sharing","display_name":"Secret sharing","score":0.7618578672409058},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.6678647398948669},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.548961341381073},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5408978462219238},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.5034493803977966},{"id":"https://openalex.org/keywords/access-structure","display_name":"Access structure","score":0.49399691820144653},{"id":"https://openalex.org/keywords/expander-code","display_name":"Expander code","score":0.48125192523002625},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47403621673583984},{"id":"https://openalex.org/keywords/secure-multi-party-computation","display_name":"Secure multi-party computation","score":0.45963814854621887},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43163636326789856},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.428561270236969},{"id":"https://openalex.org/keywords/weight-distribution","display_name":"Weight distribution","score":0.42607855796813965},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.42086338996887207},{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.41070181131362915},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4072265923023224},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.351637601852417},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.3286729156970978},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3151278793811798},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.13333538174629211}],"concepts":[{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.7618578672409058},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.6678647398948669},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.548961341381073},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5408978462219238},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5034493803977966},{"id":"https://openalex.org/C2778950925","wikidata":"https://www.wikidata.org/wiki/Q4672474","display_name":"Access structure","level":4,"score":0.49399691820144653},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.48125192523002625},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47403621673583984},{"id":"https://openalex.org/C18396474","wikidata":"https://www.wikidata.org/wiki/Q2465888","display_name":"Secure multi-party computation","level":3,"score":0.45963814854621887},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43163636326789856},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.428561270236969},{"id":"https://openalex.org/C25432639","wikidata":"https://www.wikidata.org/wiki/Q3711790","display_name":"Weight distribution","level":2,"score":0.42607855796813965},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.42086338996887207},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.41070181131362915},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4072265923023224},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.351637601852417},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.3286729156970978},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3151278793811798},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.13333538174629211},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iwsda50346.2022.9870610","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iwsda50346.2022.9870610","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 10th 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":17,"referenced_works":["https://openalex.org/W1137313232","https://openalex.org/W1597601442","https://openalex.org/W1973483608","https://openalex.org/W2123695891","https://openalex.org/W2163834165","https://openalex.org/W2172014365","https://openalex.org/W2220269422","https://openalex.org/W2770029325","https://openalex.org/W2792402434","https://openalex.org/W2885288037","https://openalex.org/W2886233444","https://openalex.org/W2963169017","https://openalex.org/W2963208638","https://openalex.org/W2991612643","https://openalex.org/W3008041837","https://openalex.org/W3009266644","https://openalex.org/W3091895262"],"related_works":["https://openalex.org/W1601320192","https://openalex.org/W2950578674","https://openalex.org/W1556155774","https://openalex.org/W1660794319","https://openalex.org/W2920889620","https://openalex.org/W2952098968","https://openalex.org/W4312936811","https://openalex.org/W2092438142","https://openalex.org/W4390784131","https://openalex.org/W3145971447"],"abstract_inverted_index":{"Minimal":[0],"linear":[1,8,46],"codes":[2,9,47,64],"are":[3,69,88],"a":[4,43,49,78],"special":[5],"subclass":[6],"of":[7,28,36,45],"and":[10,17,32,52],"have":[11],"significant":[12],"applications":[13],"in":[14,66],"secret":[15,79],"sharing":[16,80],"secure":[18],"two-party":[19],"computation.":[20],"In":[21],"this":[22,67],"paper,":[23],"based":[24],"on":[25],"the":[26,29,33,40,54,62,92],"relationship":[27],"defining":[30],"set":[31],"Walsh":[34],"spectrum":[35],"its":[37],"characteristic":[38],"functions,":[39],"authors":[41],"obtain":[42],"class":[44],"with":[48,82],"few":[50],"weights":[51],"present":[53],"weight":[55],"distribution.":[56],"Results":[57],"show":[58],"that":[59],"almost":[60],"all":[61],"new":[63],"obtained":[65],"paper":[68],"minimal":[70],"codes,":[71],"which":[72],"can":[73],"be":[74],"used":[75],"to":[76,90],"design":[77],"scheme":[81],"good":[83],"access":[84],"structure":[85],"as":[86],"they":[87],"fail":[89],"match":[91],"A-B":[93],"condition.":[94]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
