{"id":"https://openalex.org/W2164590357","doi":"https://doi.org/10.1109/tit.2011.2162571","title":"New Bound on Frequency Hopping Sequence Sets and Its Optimal Constructions","display_name":"New Bound on Frequency Hopping Sequence Sets and Its Optimal Constructions","publication_year":2011,"publication_date":"2011-07-26","ids":{"openalex":"https://openalex.org/W2164590357","doi":"https://doi.org/10.1109/tit.2011.2162571","mag":"2164590357"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2011.2162571","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2162571","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/A5100397622","display_name":"Yang Yang","orcid":"https://orcid.org/0000-0002-5241-5203"},"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":"Yang Yang","raw_affiliation_strings":["Provincial Key Laboratory of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Provincial Key Laboratory of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029840191","display_name":"Xiaohu Tang","orcid":"https://orcid.org/0000-0002-7938-7812"},"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":"Xiaohu Tang","raw_affiliation_strings":["Provincial Key Laboratory of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Provincial Key Laboratory of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028396558","display_name":"Udaya Parampalli","orcid":"https://orcid.org/0000-0002-9798-0134"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Udaya Parampalli","raw_affiliation_strings":["Department of Computer Science and Software Engineering, University of Melbourne, VIC, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Software Engineering, University of Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108187909","display_name":"Daiyuan Peng","orcid":null},"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":"Daiyuan Peng","raw_affiliation_strings":["Provincial Key Laboratory of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Provincial Key Laboratory of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.0188,"has_fulltext":false,"cited_by_count":62,"citation_normalized_percentile":{"value":0.95281912,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"57","issue":"11","first_page":"7605","last_page":"7613"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9962999820709229,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9954000115394592,"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/frequency-hopping-spread-spectrum","display_name":"Frequency-hopping spread spectrum","score":0.7561619281768799},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6976004242897034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.661450207233429},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.6388832330703735},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.60200035572052},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.5438942313194275},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5098094344139099},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4953273832798004},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.47790607810020447},{"id":"https://openalex.org/keywords/complementary-sequences","display_name":"Complementary sequences","score":0.4670359790325165},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4544643759727478},{"id":"https://openalex.org/keywords/cyclic-code","display_name":"Cyclic code","score":0.4416370391845703},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.43256261944770813},{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.43218931555747986},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34363701939582825},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.29286089539527893},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22075724601745605},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.1943891942501068},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.18250280618667603},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12643027305603027},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.06685063242912292}],"concepts":[{"id":"https://openalex.org/C122962297","wikidata":"https://www.wikidata.org/wiki/Q1136013","display_name":"Frequency-hopping spread spectrum","level":2,"score":0.7561619281768799},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6976004242897034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.661450207233429},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.6388832330703735},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.60200035572052},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.5438942313194275},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5098094344139099},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4953273832798004},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.47790607810020447},{"id":"https://openalex.org/C32795469","wikidata":"https://www.wikidata.org/wiki/Q5156430","display_name":"Complementary sequences","level":2,"score":0.4670359790325165},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4544643759727478},{"id":"https://openalex.org/C2096984","wikidata":"https://www.wikidata.org/wiki/Q245464","display_name":"Cyclic code","level":5,"score":0.4416370391845703},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.43256261944770813},{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.43218931555747986},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34363701939582825},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.29286089539527893},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22075724601745605},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.1943891942501068},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.18250280618667603},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12643027305603027},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.06685063242912292},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2011.2162571","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2162571","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1565060721","https://openalex.org/W2016638249","https://openalex.org/W2033038403","https://openalex.org/W2068245410","https://openalex.org/W2093728854","https://openalex.org/W2117293282","https://openalex.org/W2120765143","https://openalex.org/W2124996816","https://openalex.org/W2128248288","https://openalex.org/W2140487394","https://openalex.org/W2141916504","https://openalex.org/W2142432367","https://openalex.org/W2145988102","https://openalex.org/W2147883795","https://openalex.org/W2160616122","https://openalex.org/W2160808756","https://openalex.org/W2171089917","https://openalex.org/W2171297434","https://openalex.org/W2323136735"],"related_works":["https://openalex.org/W2110798623","https://openalex.org/W2762830775","https://openalex.org/W2348746730","https://openalex.org/W2964136540","https://openalex.org/W2184059163","https://openalex.org/W2141158404","https://openalex.org/W2903378269","https://openalex.org/W4387721160","https://openalex.org/W2173495775","https://openalex.org/W2898788719"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,28,44],"derive":[4],"a":[5],"new":[6,34,67],"bound":[7,21,35],"on":[8,40],"maximum":[9],"nontrivial":[10],"Hamming":[11],"correlation":[12],"of":[13,48,58],"frequency":[14],"hopping":[15],"(FH)":[16],"sequences":[17,50,60],"from":[18,51,61],"the":[19,30,33,37,66],"Singleton":[20],"in":[22],"error":[23],"correcting":[24],"code":[25],"literature,":[26],"and":[27,36,55],"discuss":[29],"relation":[31],"between":[32],"known":[38],"ones":[39],"FH":[41,49,59],"sequences.":[42],"Further,":[43],"construct":[45],"two":[46],"classes":[47],"punctured":[52],"Reed\u2013Solomon":[53],"codes":[54],"one":[56],"class":[57],"polynomial":[62],"functions,":[63],"which":[64],"meet":[65],"bound.":[68]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}