{"id":"https://openalex.org/W3096207044","doi":"https://doi.org/10.1109/access.2020.3034118","title":"A Bound of Fast Algebraic Immunity of Constructions With BPR Using a Four-Disjoint-Part Support","display_name":"A Bound of Fast Algebraic Immunity of Constructions With BPR Using a Four-Disjoint-Part Support","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3096207044","doi":"https://doi.org/10.1109/access.2020.3034118","mag":"3096207044"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3034118","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3034118","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09241064.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/ielx7/6287639/8948470/09241064.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006296718","display_name":"Kai Xu","orcid":"https://orcid.org/0000-0001-8933-6704"},"institutions":[{"id":"https://openalex.org/I182722699","display_name":"Shenzhen Polytechnic","ror":"https://ror.org/00d2w9g53","country_code":"CN","type":"education","lineage":["https://openalex.org/I182722699"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kai Xu","raw_affiliation_strings":["School of Automotive and Transportation Engineering, Shenzhen Polytechnic, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"School of Automotive and Transportation Engineering, Shenzhen Polytechnic, Shenzhen, China","institution_ids":["https://openalex.org/I182722699"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100386104","display_name":"Ying Zhang","orcid":"https://orcid.org/0000-0002-2674-1638"},"institutions":[{"id":"https://openalex.org/I32574673","display_name":"Shantou University","ror":"https://ror.org/01a099706","country_code":"CN","type":"education","lineage":["https://openalex.org/I32574673"]},{"id":"https://openalex.org/I4210121200","display_name":"Second Affiliated Hospital of Shantou University Medical College","ror":"https://ror.org/035rs9v13","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210121200"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Zhang","raw_affiliation_strings":["Department of Information, Second Affiliated Hospital, Shantou University Medical College, Shantou, China"],"affiliations":[{"raw_affiliation_string":"Department of Information, Second Affiliated Hospital, Shantou University Medical College, Shantou, China","institution_ids":["https://openalex.org/I4210121200","https://openalex.org/I32574673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100378456","display_name":"Jing Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I182722699","display_name":"Shenzhen Polytechnic","ror":"https://ror.org/00d2w9g53","country_code":"CN","type":"education","lineage":["https://openalex.org/I182722699"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Wang","raw_affiliation_strings":["School of Automotive and Transportation Engineering, Shenzhen Polytechnic, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"School of Automotive and Transportation Engineering, Shenzhen Polytechnic, Shenzhen, China","institution_ids":["https://openalex.org/I182722699"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5006296718"],"corresponding_institution_ids":["https://openalex.org/I182722699"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14054066,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":null,"first_page":"196902","last_page":"196907"},"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":0.9979000091552734,"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":0.9959999918937683,"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/disjoint-sets","display_name":"Disjoint sets","score":0.7606894969940186},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.6924049854278564},{"id":"https://openalex.org/keywords/stream-cipher","display_name":"Stream cipher","score":0.6901131868362427},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49000945687294006},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4851592183113098},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4740281403064728},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.44172027707099915},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4404147267341614},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4218669533729553},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3524302840232849},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3339298963546753},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2058802843093872},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.15739569067955017},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1099928617477417}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7606894969940186},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6924049854278564},{"id":"https://openalex.org/C92950451","wikidata":"https://www.wikidata.org/wiki/Q864718","display_name":"Stream cipher","level":3,"score":0.6901131868362427},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49000945687294006},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4851592183113098},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4740281403064728},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.44172027707099915},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4404147267341614},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4218669533729553},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3524302840232849},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3339298963546753},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2058802843093872},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.15739569067955017},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1099928617477417},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.3034118","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3034118","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09241064.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:9917ec4510794007bbd3e036c624b019","is_oa":true,"landing_page_url":"https://doaj.org/article/9917ec4510794007bbd3e036c624b019","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 196902-196907 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3034118","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3034118","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09241064.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":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3096207044.pdf","grobid_xml":"https://content.openalex.org/works/W3096207044.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1699105","https://openalex.org/W58215584","https://openalex.org/W1479004151","https://openalex.org/W1571317543","https://openalex.org/W1582711866","https://openalex.org/W1873576501","https://openalex.org/W1918243660","https://openalex.org/W1977193714","https://openalex.org/W1980279697","https://openalex.org/W2061056250","https://openalex.org/W2068548400","https://openalex.org/W2081325887","https://openalex.org/W2095563835","https://openalex.org/W2128293480","https://openalex.org/W2394989791","https://openalex.org/W2487159751","https://openalex.org/W2504274129","https://openalex.org/W2734471689","https://openalex.org/W2953455935","https://openalex.org/W4236509984","https://openalex.org/W6628671676","https://openalex.org/W6667634535","https://openalex.org/W6711685992","https://openalex.org/W6818108484"],"related_works":["https://openalex.org/W862755557","https://openalex.org/W2162901123","https://openalex.org/W2004360898","https://openalex.org/W47687724","https://openalex.org/W2085777029","https://openalex.org/W1446717654","https://openalex.org/W1518828598","https://openalex.org/W2951785426","https://openalex.org/W2547991215","https://openalex.org/W1995085127"],"abstract_inverted_index":{"Boolean":[0,37,60],"functions":[1,38,61],"are":[2],"used":[3],"for":[4],"stream":[5],"cipher":[6],"ought":[7],"to":[8,16,32,68],"be":[9],"a":[10,56,88],"high":[11],"fast":[12,19],"algebraic":[13,20],"immunity":[14],"(FAI)":[15],"effectively":[17],"against":[18],"attacks.":[21],"In":[22],"the":[23,34,49,77],"previous":[24],"research":[25,44,73],"methods,":[26,74],"there":[27],"is":[28],"no":[29],"suitable":[30],"method":[31],"gain":[33],"FAI":[35,63,80],"of":[36,58,79,81],"using":[39,87],"mathematical":[40],"proof.":[41],"However,":[42],"Tang's":[43,72],"results":[45],"in":[46],"2017":[47],"broke":[48],"trend.":[50],"They":[51],"first":[52],"mathematically":[53],"proved":[54],"that":[55],"class":[57],"1-resilient":[59],"has":[62],"greater":[64],"than":[65],"or":[66],"equal":[67],"n-6.":[69],"Expanding":[70],"on":[71],"we":[75],"prove":[76],"bound":[78],"constructions":[82],"with":[83],"bivariate":[84],"polynomial":[85],"representation":[86],"four-disjoint-part":[89],"support.":[90]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}