{"id":"https://openalex.org/W1979482664","doi":"https://doi.org/10.1109/tcom.1986.1096587","title":"Integer Sets with Distinct Sums and Differences and Carrier Frequency Assignments for Nonlinear Repeaters","display_name":"Integer Sets with Distinct Sums and Differences and Carrier Frequency Assignments for Nonlinear Repeaters","publication_year":1986,"publication_date":"1986-06-01","ids":{"openalex":"https://openalex.org/W1979482664","doi":"https://doi.org/10.1109/tcom.1986.1096587","mag":"1979482664"},"language":"en","primary_location":{"id":"doi:10.1109/tcom.1986.1096587","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcom.1986.1096587","pdf_url":null,"source":{"id":"https://openalex.org/S4210170832","display_name":"IRE Transactions on Communications Systems","issn_l":"0096-2244","issn":["0096-2244","2162-2132"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Communications","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/A5074805691","display_name":"M. D. Atkinson","orcid":"https://orcid.org/0000-0003-4237-3588"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"M. Atkinson","raw_affiliation_strings":["School of Computer Science, Carleton University, Ottawa, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carleton University, Ottawa, ONT, Canada","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044260252","display_name":"Nicola Santoro","orcid":"https://orcid.org/0000-0002-7954-3918"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"N. Santoro","raw_affiliation_strings":["School of Computer Science, Carleton University, Ottawa, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carleton University, Ottawa, ONT, Canada","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051983713","display_name":"Jackie D. Urrutia","orcid":"https://orcid.org/0000-0003-2581-6973"},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J. Urrutia","raw_affiliation_strings":["Department of Computer Science, University of Ottawa, Ottawa, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Ottawa, Ottawa, ONT, Canada","institution_ids":["https://openalex.org/I153718931"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074805691"],"corresponding_institution_ids":["https://openalex.org/I67031392"],"apc_list":null,"apc_paid":null,"fwci":2.2087,"has_fulltext":false,"cited_by_count":75,"citation_normalized_percentile":{"value":0.85348301,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"34","issue":"6","first_page":"614","last_page":"617"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11873","display_name":"PAPR reduction in OFDM","score":0.975600004196167,"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"}},"topics":[{"id":"https://openalex.org/T11873","display_name":"PAPR reduction in OFDM","score":0.975600004196167,"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/T11248","display_name":"Advanced Power Amplifier Design","score":0.9546999931335449,"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/T11130","display_name":"Coding theory and cryptography","score":0.949400007724762,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6261835694313049},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5527516603469849},{"id":"https://openalex.org/keywords/intermodulation","display_name":"Intermodulation","score":0.5023326873779297},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.41685646772384644},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41505396366119385},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40963542461395264},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4081652760505676},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38552600145339966},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37035703659057617},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11703240871429443},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09156805276870728}],"concepts":[{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6261835694313049},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5527516603469849},{"id":"https://openalex.org/C11773624","wikidata":"https://www.wikidata.org/wiki/Q2142232","display_name":"Intermodulation","level":4,"score":0.5023326873779297},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.41685646772384644},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41505396366119385},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40963542461395264},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4081652760505676},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38552600145339966},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37035703659057617},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11703240871429443},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09156805276870728},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcom.1986.1096587","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcom.1986.1096587","pdf_url":null,"source":{"id":"https://openalex.org/S4210170832","display_name":"IRE Transactions on Communications Systems","issn_l":"0096-2244","issn":["0096-2244","2162-2132"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W134380152","https://openalex.org/W2009888012","https://openalex.org/W2030243808","https://openalex.org/W2148948564","https://openalex.org/W2324447404","https://openalex.org/W2965518582","https://openalex.org/W3138350084","https://openalex.org/W4234803039","https://openalex.org/W4244672519","https://openalex.org/W6605479312","https://openalex.org/W6792513039"],"related_works":["https://openalex.org/W2147869365","https://openalex.org/W1977117755","https://openalex.org/W2533026854","https://openalex.org/W4224285256","https://openalex.org/W1640309850","https://openalex.org/W4251369873","https://openalex.org/W2031784838","https://openalex.org/W2143493434","https://openalex.org/W2016026853","https://openalex.org/W2361839731"],"abstract_inverted_index":{"The":[0],"problem":[1],"of":[2,19],"assigning":[3],"<tex":[4,47,59,92],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[5,48,60,93],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</tex>":[6],"carrier":[7],"frequencies":[8],"so":[9],"as":[10],"to":[11,41,79],"avoid":[12],"certain":[13],"types":[14],"(third":[15],"and":[16,30,39,82],"fifth":[17],"order)":[18],"intermodulation":[20],"interference":[21],"is":[22,70],"discussed.":[23],"For":[24,65],"the":[25,34,66],"third-order":[26],"case,":[27,68],"close":[28,40],"upper":[29],"lower":[31],"bounds":[32],"on":[33],"optimal":[35,42],"solution":[36],"are":[37,44,89],"established;":[38],"solutions":[43,54,84,98],"given":[45,90],"for":[46,58,91],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n":[49,61,94],"&lt;":[50],"100</tex>":[51],"(previously,":[52],"suboptimal":[53,83],"were":[55,99],"known":[56,100],"only":[57],"\\leq":[62,95],"23</tex>":[63],").":[64],"fifth-order":[67],"it":[69],"shown":[71],"that":[72],"some":[73],"existing":[74],"results":[75],"can":[76],"be":[77],"applied":[78],"this":[80,87],"problem,":[81],"obtained":[85],"by":[86],"construction":[88],"17</tex>":[96],"(no":[97],"previously).":[101]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":7},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}
