{"id":"https://openalex.org/W2095415652","doi":"https://doi.org/10.1109/tit.2014.2315207","title":"New Families of Optimal Frequency-Hopping Sequences of Composite Lengths","display_name":"New Families of Optimal Frequency-Hopping Sequences of Composite Lengths","publication_year":2014,"publication_date":"2014-04-02","ids":{"openalex":"https://openalex.org/W2095415652","doi":"https://doi.org/10.1109/tit.2014.2315207","mag":"2095415652"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2315207","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2315207","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/A5101991126","display_name":"Jin-Ho Chung","orcid":"https://orcid.org/0000-0003-4835-6826"},"institutions":[{"id":"https://openalex.org/I48566637","display_name":"Ulsan National Institute of Science and Technology","ror":"https://ror.org/017cjz748","country_code":"KR","type":"education","lineage":["https://openalex.org/I48566637"]},{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA","KR"],"is_corresponding":true,"raw_author_name":"Jin-Ho Chung","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada","School of Electrical and Computer Engineering Ulsan National Institute of Science and Technology, Ulsan, Korea"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering Ulsan National Institute of Science and Technology, Ulsan, Korea","institution_ids":["https://openalex.org/I48566637"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036636567","display_name":"Guang Gong","orcid":"https://orcid.org/0000-0003-2684-9259"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Guang Gong","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada","[Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"[Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada]","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101893464","display_name":"Kyeongcheol Yang","orcid":"https://orcid.org/0000-0001-8303-2304"},"institutions":[{"id":"https://openalex.org/I123900574","display_name":"Pohang University of Science and Technology","ror":"https://ror.org/04xysgw12","country_code":"KR","type":"education","lineage":["https://openalex.org/I123900574"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Kyeongcheol Yang","raw_affiliation_strings":["Department of Electrical Engineering, Pohang University of Science and Technology (POSTECH), Pohang, Gyungbuk, Korea","Dept. of Electrical Engineering, Pohang University of Science and Technology (POSTECH), Pohang, Gyungbuk, Korea#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Pohang University of Science and Technology (POSTECH), Pohang, Gyungbuk, Korea","institution_ids":["https://openalex.org/I123900574"]},{"raw_affiliation_string":"Dept. of Electrical Engineering, Pohang University of Science and Technology (POSTECH), Pohang, Gyungbuk, Korea#TAB#","institution_ids":["https://openalex.org/I123900574"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101991126"],"corresponding_institution_ids":["https://openalex.org/I151746483","https://openalex.org/I48566637"],"apc_list":null,"apc_paid":null,"fwci":4.6514,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.95029238,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"60","issue":"6","first_page":"3688","last_page":"3697"},"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9997000098228455,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9980999827384949,"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":0.8810575604438782},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6725883483886719},{"id":"https://openalex.org/keywords/spread-spectrum","display_name":"Spread spectrum","score":0.6700742244720459},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5953714847564697},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5326020121574402},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5256991386413574},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.5233068466186523},{"id":"https://openalex.org/keywords/prime-power","display_name":"Prime power","score":0.43616560101509094},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4331294298171997},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2206999659538269},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14464950561523438},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10533922910690308},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10082170367240906},{"id":"https://openalex.org/keywords/code-division-multiple-access","display_name":"Code division multiple access","score":0.07269901037216187}],"concepts":[{"id":"https://openalex.org/C122962297","wikidata":"https://www.wikidata.org/wiki/Q1136013","display_name":"Frequency-hopping spread spectrum","level":2,"score":0.8810575604438782},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6725883483886719},{"id":"https://openalex.org/C105344744","wikidata":"https://www.wikidata.org/wiki/Q958957","display_name":"Spread spectrum","level":3,"score":0.6700742244720459},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5953714847564697},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5326020121574402},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5256991386413574},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.5233068466186523},{"id":"https://openalex.org/C174072685","wikidata":"https://www.wikidata.org/wiki/Q1667469","display_name":"Prime power","level":3,"score":0.43616560101509094},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4331294298171997},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2206999659538269},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14464950561523438},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10533922910690308},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10082170367240906},{"id":"https://openalex.org/C47696715","wikidata":"https://www.wikidata.org/wiki/Q233394","display_name":"Code division multiple access","level":2,"score":0.07269901037216187},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tit.2014.2315207","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2315207","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.459.8837","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.459.8837","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cacr.uwaterloo.ca/techreports/2014/cacr2014-06.pdf","raw_type":"text"},{"id":"pmh:oai:oasis.postech.ac.kr:2014.oak/14352","is_oa":false,"landing_page_url":"https://oasis.postech.ac.kr/handle/2014.oak/14352","pdf_url":null,"source":{"id":"https://openalex.org/S4306401965","display_name":"Open Access System for Information Sharing (Pohang University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123900574","host_organization_name":"Pohang University of Science and Technology","host_organization_lineage":["https://openalex.org/I123900574"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:scholarworks.unist.ac.kr:201301/4947","is_oa":false,"landing_page_url":"http://ieeexplore.ieee.org/document/6782460/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401118","display_name":"Scholarworks@UNIST (Ulsan National Institute of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I48566637","host_organization_name":"Ulsan National Institute of Science and Technology","host_organization_lineage":["https://openalex.org/I48566637"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"ARTICLE"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5546113866","display_name":null,"funder_award_id":"2011-0017396","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1545693521","https://openalex.org/W1703204569","https://openalex.org/W1980201978","https://openalex.org/W2012662725","https://openalex.org/W2013388573","https://openalex.org/W2016638249","https://openalex.org/W2020090470","https://openalex.org/W2033038403","https://openalex.org/W2060277130","https://openalex.org/W2081307636","https://openalex.org/W2091190815","https://openalex.org/W2108506867","https://openalex.org/W2119283406","https://openalex.org/W2119965287","https://openalex.org/W2120765143","https://openalex.org/W2128248288","https://openalex.org/W2129568979","https://openalex.org/W2135733034","https://openalex.org/W2140487394","https://openalex.org/W2142432367","https://openalex.org/W2143019587","https://openalex.org/W2145988102","https://openalex.org/W2147883795","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/W2311023058","https://openalex.org/W4300041665"],"related_works":["https://openalex.org/W2304504342","https://openalex.org/W2033038403","https://openalex.org/W2160808756","https://openalex.org/W2265199195","https://openalex.org/W2071004001","https://openalex.org/W2946234015","https://openalex.org/W2898347774","https://openalex.org/W2120948202","https://openalex.org/W4245008130","https://openalex.org/W2766656036"],"abstract_inverted_index":{"Frequency-hopping":[0],"sequences":[1],"(FHSs)":[2],"are":[3],"employed":[4],"to":[5,95,107],"mitigate":[6],"the":[7,11,96,108,130],"interferences":[8],"caused":[9],"by":[10],"hits":[12],"of":[13,40,63,124,132],"frequencies":[14],"in":[15,129],"frequency-hopping":[16,138],"spread":[17,139],"spectrum":[18,140],"systems.":[19],"In":[20],"this":[21],"paper,":[22],"we":[23,85],"present":[24,57],"two":[25,44,83],"new":[26,35,89,102],"constructions":[27],"for":[28,37,43,60,135],"FHS":[29,38,61,91,133],"sets.":[30],"We":[31,55],"first":[32],"give":[33],"a":[34,71,119,121,136],"construction":[36,59],"sets":[39,62,92,134],"length":[41,64,113],"nN":[42,114],"positive":[45],"integers":[46],"n":[47],"and":[48],"N":[49],"with":[50,93,105],"gcd(n,":[51],"N)":[52,78],"=":[53,79],"1.":[54,80],"then":[56],"another":[58],"(q":[65],"-":[66,76],"1)N,":[67],"where":[68],"q":[69],"is":[70],"prime":[72],"power":[73],"satisfying":[74],"gcd(q":[75],"1,":[77],"By":[81],"these":[82],"constructions,":[84],"obtain":[86],"infinitely":[87],"many":[88],"optimal":[90,103],"respect":[94,106],"Peng-Fan":[97],"bound":[98],"as":[99,101],"well":[100],"FHSs":[104],"Lempel-Greenberger":[109],"bound,":[110],"which":[111],"have":[112],"or":[115],"n(q":[116],"-1)N.":[117],"As":[118],"result,":[120],"great":[122],"deal":[123],"flexibility":[125],"may":[126],"be":[127],"provided":[128],"choice":[131],"given":[137],"system.":[141]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
