{"id":"https://openalex.org/W4408125725","doi":"https://doi.org/10.1109/lcomm.2025.3547330","title":"Generalized Fourier Transform Pair Codes","display_name":"Generalized Fourier Transform Pair Codes","publication_year":2025,"publication_date":"2025-03-03","ids":{"openalex":"https://openalex.org/W4408125725","doi":"https://doi.org/10.1109/lcomm.2025.3547330"},"language":"en","primary_location":{"id":"doi:10.1109/lcomm.2025.3547330","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2025.3547330","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications Letters","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/A5104686283","display_name":"Yaping Lv","orcid":null},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yaping Lv","raw_affiliation_strings":["School of Computer Science and Engineering and Guangdong Key Laboratory of Information Security Technology and the MoE Key Laboratory of Information Technology, Sun Yat-sen University, Guangzhou, China","School of Computer Science and Engineering and the Guangdong Key Laboratory of Information Security Technology, Sun Yat-sen University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering and Guangdong Key Laboratory of Information Security Technology and the MoE Key Laboratory of Information Technology, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Computer Science and Engineering and the Guangdong Key Laboratory of Information Security Technology, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024087855","display_name":"Suihua Cai","orcid":"https://orcid.org/0000-0003-1950-0788"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Suihua Cai","raw_affiliation_strings":["School of Computer Science and Engineering and Guangdong Key Laboratory of Information Security Technology and the MoE Key Laboratory of Information Technology, Sun Yat-sen University, Guangzhou, China","School of Computer Science and Engineering and the Guangdong Key Laboratory of Information Security Technology, Sun Yat-sen University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering and Guangdong Key Laboratory of Information Security Technology and the MoE Key Laboratory of Information Technology, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Computer Science and Engineering and the Guangdong Key Laboratory of Information Security Technology, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057620799","display_name":"Xiao Ma","orcid":"https://orcid.org/0000-0001-6617-1978"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao Ma","raw_affiliation_strings":["School of Computer Science and Engineering and Guangdong Key Laboratory of Information Security Technology and the MoE Key Laboratory of Information Technology, Sun Yat-sen University, Guangzhou, China","School of Computer Science and Engineering and the Guangdong Key Laboratory of Information Security Technology, Sun Yat-sen University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering and Guangdong Key Laboratory of Information Security Technology and the MoE Key Laboratory of Information Technology, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Computer Science and Engineering and the Guangdong Key Laboratory of Information Security Technology, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5104686283"],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":null,"apc_paid":null,"fwci":2.8414,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.89669119,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"29","issue":"5","first_page":"933","last_page":"937"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9922999739646912,"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":0.9922999739646912,"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":0.921500027179718,"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/computer-science","display_name":"Computer science","score":0.5908084511756897},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.5079818367958069},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.48768317699432373},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45217186212539673},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.3889525234699249},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33828866481781006},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3145187497138977},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.2512379288673401},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10037922859191895}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5908084511756897},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.5079818367958069},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.48768317699432373},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45217186212539673},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.3889525234699249},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33828866481781006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3145187497138977},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.2512379288673401},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10037922859191895}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcomm.2025.3547330","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2025.3547330","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2927535782","display_name":null,"funder_award_id":"62471506","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3673891818","display_name":null,"funder_award_id":"2021YFA1000500","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G3973892994","display_name":null,"funder_award_id":"62201626","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"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W2106864314","https://openalex.org/W2142976890","https://openalex.org/W2149072083","https://openalex.org/W2156826724","https://openalex.org/W2167306540","https://openalex.org/W2170187382","https://openalex.org/W2557431413","https://openalex.org/W2962890394","https://openalex.org/W2963829778","https://openalex.org/W4233121052","https://openalex.org/W4310902911","https://openalex.org/W4312504734","https://openalex.org/W4321636834","https://openalex.org/W6728127629"],"related_works":["https://openalex.org/W2118155316","https://openalex.org/W2382218334","https://openalex.org/W2090697566","https://openalex.org/W2116983948","https://openalex.org/W4294147850","https://openalex.org/W2155549970","https://openalex.org/W3141389362","https://openalex.org/W2348706803","https://openalex.org/W2057875231","https://openalex.org/W2183119314"],"abstract_inverted_index":{"This":[0],"letter":[1],"is":[2,72],"concerned":[3],"with":[4,29,56,133,172],"Fourier":[5],"transform":[6],"pair":[7],"(FTP)":[8],"codes":[9,85,98,119,151,157,169,174],"over":[10,99],"finite":[11,21,70],"fields.":[12],"Given":[13],"any":[14,57],"element":[15,58],"of":[16,62,95,109,122,142,175],"order":[17,63],"n":[18],"in":[19,68],"a":[20,69,73],"field,":[22],"we":[23,81,103],"can":[24],"construct":[25],"an":[26,52],"FTP":[27,53,84,88,101,118,156],"code":[28,54,160,178,182],"length":[30,161],"<inline-formula":[31,44],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[32,45],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[33,46],"<tex-math":[34,47],"notation=\"LaTeX\">$2n$":[35],"</tex-math></inline-formula>,":[36],"dimension":[37],"n,":[38],"and":[39,180],"minimum":[40],"distance":[41,75],"at":[42],"least":[43],"notation=\"LaTeX\">$2\\sqrt":[48],"{n}$":[49],"</tex-math></inline-formula>.":[50],"Distinguishingly,":[51],"defined":[55],"(if":[59],"it":[60],"exists)":[61],"2,":[64],"3":[65],"or":[66],"5":[67],"field":[71],"maximum":[74],"separable":[76],"code.":[77],"In":[78],"this":[79],"letter,":[80],"extend":[82],"the":[83,93,96,100,105,110,117,123,129,139,149,155,159,176],"to":[86,120,138],"generalized":[87],"(GFTP)":[89],"codes.":[90,125,144],"To":[91],"show":[92,147,166],"superiority":[94],"GFTP":[97,111,143,150,168],"codes,":[102,112],"compute":[104],"binary":[106,140],"weight":[107],"spectra":[108],"approaching":[113],"more":[114],"close":[115],"than":[116,154],"that":[121,148,167],"random":[124],"We":[126],"also":[127,165],"apply":[128],"ordered":[130],"statistic":[131],"decoding":[132],"local":[134],"constraints":[135],"(LC-OSD)":[136],"algorithm":[137],"image":[141],"Numerical":[145,163],"results":[146,164],"perform":[152],"better":[153],"as":[158],"increases.":[162],"are":[170],"comparable":[171],"existing":[173],"same":[177],"rate":[179],"similar":[181],"length.":[183]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-23T23:11:35.936235","created_date":"2025-10-10T00:00:00"}
