{"id":"https://openalex.org/W3039757576","doi":"https://doi.org/10.1142/s0129054120500215","title":"Simplified Bounds on FHSs Set and Its Strictly Optimal Construction","display_name":"Simplified Bounds on FHSs Set and Its Strictly Optimal Construction","publication_year":2020,"publication_date":"2020-06-01","ids":{"openalex":"https://openalex.org/W3039757576","doi":"https://doi.org/10.1142/s0129054120500215","mag":"3039757576"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054120500215","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054120500215","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-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/A5101886122","display_name":"Shanding Xu","orcid":"https://orcid.org/0000-0002-7242-1352"},"institutions":[{"id":"https://openalex.org/I2799736854","display_name":"Nanjing Institute of Technology","ror":"https://ror.org/00n6txq60","country_code":"CN","type":"education","lineage":["https://openalex.org/I2799736854"]},{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shanding Xu","raw_affiliation_strings":["Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, P. R. China","Key Laboratory of Mathematics and Interdisciplinary Sciences, Guangdong Higher Education Institutes, Guangzhou University, Guangzhou 510006, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-7242-1352","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, P. R. China","institution_ids":["https://openalex.org/I2799736854"]},{"raw_affiliation_string":"Key Laboratory of Mathematics and Interdisciplinary Sciences, Guangdong Higher Education Institutes, Guangzhou University, Guangzhou 510006, P. R. China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026635882","display_name":"Xiwang Cao","orcid":"https://orcid.org/0000-0002-6950-8588"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210156404","display_name":"Institute of Information Engineering","ror":"https://ror.org/04r53se39","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]},{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiwang Cao","raw_affiliation_strings":["Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China","State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, P. R. China","institution_ids":["https://openalex.org/I4210156404","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085135489","display_name":"Jiafu Mi","orcid":"https://orcid.org/0000-0001-6971-5766"},"institutions":[{"id":"https://openalex.org/I119203015","display_name":"Shandong University of Technology","ror":"https://ror.org/02mr3ar13","country_code":"CN","type":"education","lineage":["https://openalex.org/I119203015"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiafu Mi","raw_affiliation_strings":["School of Science, Shandong University of Technology, Zibo 255091, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Shandong University of Technology, Zibo 255091, P. R. China","institution_ids":["https://openalex.org/I119203015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054829854","display_name":"Chunming Tang","orcid":null},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunming Tang","raw_affiliation_strings":["Key Laboratory of Mathematics and Interdisciplinary Sciences, Guangdong Higher Education Institutes, Guangzhou University, Guangzhou 510006, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Mathematics and Interdisciplinary Sciences, Guangdong Higher Education Institutes, Guangzhou University, Guangzhou 510006, P. R. China","institution_ids":["https://openalex.org/I37987034"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101886122"],"corresponding_institution_ids":["https://openalex.org/I2799736854","https://openalex.org/I37987034"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07234049,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"04","first_page":"499","last_page":"513"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9993000030517578,"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/bijection-injection-and-surjection","display_name":"Bijection, injection and surjection","score":0.780686616897583},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7660848498344421},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.6684050559997559},{"id":"https://openalex.org/keywords/autocorrelation","display_name":"Autocorrelation","score":0.6457008719444275},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5545455813407898},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5495960116386414},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5466216206550598},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.541430652141571},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5020713806152344},{"id":"https://openalex.org/keywords/hamming-weight","display_name":"Hamming weight","score":0.4849262535572052},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.4819176495075226},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.43236202001571655},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3162209987640381},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.239432692527771},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.15092754364013672},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10986131429672241},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08424541354179382}],"concepts":[{"id":"https://openalex.org/C48659774","wikidata":"https://www.wikidata.org/wiki/Q4907197","display_name":"Bijection, injection and surjection","level":3,"score":0.780686616897583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7660848498344421},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.6684050559997559},{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.6457008719444275},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5545455813407898},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5495960116386414},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5466216206550598},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.541430652141571},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5020713806152344},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.4849262535572052},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.4819176495075226},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.43236202001571655},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3162209987640381},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.239432692527771},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.15092754364013672},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10986131429672241},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08424541354179382},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"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/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054120500215","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054120500215","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6899999976158142,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G3764218129","display_name":null,"funder_award_id":"11771007","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3949119848","display_name":null,"funder_award_id":"61572027","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4528464643","display_name":null,"funder_award_id":"11601177","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W39299451","https://openalex.org/W2013388573","https://openalex.org/W2016638249","https://openalex.org/W2033038403","https://openalex.org/W2038351595","https://openalex.org/W2060277130","https://openalex.org/W2081307636","https://openalex.org/W2117293282","https://openalex.org/W2120765143","https://openalex.org/W2128248288","https://openalex.org/W2129568979","https://openalex.org/W2140487394","https://openalex.org/W2142432367","https://openalex.org/W2160616122","https://openalex.org/W2160808756","https://openalex.org/W2161483138","https://openalex.org/W2164590357","https://openalex.org/W2171089917","https://openalex.org/W2171297434","https://openalex.org/W2177126792","https://openalex.org/W2247286033","https://openalex.org/W2315363147","https://openalex.org/W2341568107","https://openalex.org/W2387618587","https://openalex.org/W2467247338","https://openalex.org/W2962983127","https://openalex.org/W4297756508"],"related_works":["https://openalex.org/W2008960744","https://openalex.org/W2105471374","https://openalex.org/W2740543340","https://openalex.org/W1987803429","https://openalex.org/W2158117886","https://openalex.org/W1582340598","https://openalex.org/W2152162311","https://openalex.org/W2743336384","https://openalex.org/W1519122282","https://openalex.org/W3105418885"],"abstract_inverted_index":{"Frequency-hopping":[0],"sequences":[1],"(FHSs)":[2],"with":[3],"favorite":[4],"partial":[5,52,65],"Hamming":[6,31,53,66],"correlation":[7,32,35,67],"properties":[8],"are":[9,22],"intensively":[10],"needed":[11],"in":[12],"many":[13],"synchronization":[14],"and":[15,58,94,100],"multiple-access":[16],"systems.":[17],"Strictly":[18],"optimal":[19,30,81,109],"FHS":[20,26,57,70,82,110],"sets":[21,27],"a":[23,76],"kind":[24],"of":[25,45,55,68,79,107],"which":[28,84],"has":[29],"for":[33],"any":[34],"window.":[36],"In":[37],"this":[38],"paper,":[39],"firstly":[40],"we":[41,74,102],"present":[42,103],"simplified":[43],"representations":[44],"the":[46,51,59,64,86],"generalized":[47,60],"Lempel\u2013Greenberger":[48],"bound":[49,62],"on":[50,63],"autocorrelation":[54],"an":[56,69],"Peng-Fan":[61],"set,":[71],"respectively.":[72],"Secondly,":[73],"propose":[75],"direct":[77],"construction":[78,88],"strictly":[80,108],"sets,":[83],"interprets":[85],"previous":[87],"proposed":[89],"by":[90],"Cai,":[91],"Zhou,":[92],"Yang":[93],"Tang.":[95],"By":[96],"choosing":[97],"appropriate":[98],"parameters":[99],"bijections,":[101],"more":[104],"flexible":[105],"constructions":[106],"sets.":[111]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
