{"id":"https://openalex.org/W2558254533","doi":"https://doi.org/10.1587/transfun.e99.a.2604","title":"Perfect Gaussian Integer Sequences of Degree-4 Using Difference Sets","display_name":"Perfect Gaussian Integer Sequences of Degree-4 Using Difference Sets","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2558254533","doi":"https://doi.org/10.1587/transfun.e99.a.2604","mag":"2558254533"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1587/transfun.e99.a.2604","pdf_url":null,"source":{"id":"https://openalex.org/S166990724","display_name":"IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences","issn_l":"0916-8508","issn":["0916-8508","1745-1337"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5110084718","display_name":"Xiuping PENG","orcid":"https://orcid.org/0000-0003-0815-6491"},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiuping PENG","raw_affiliation_strings":["College of Information Science and Engineering, Yanshan University"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Yanshan University","institution_ids":["https://openalex.org/I39333907"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102869188","display_name":"Jiadong Ren","orcid":"https://orcid.org/0000-0002-2245-9133"},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiadong REN","raw_affiliation_strings":["College of Information Science and Engineering, Yanshan University"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Yanshan University","institution_ids":["https://openalex.org/I39333907"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028541091","display_name":"XU Cheng-qian","orcid":"https://orcid.org/0000-0002-1109-0414"},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengqian XU","raw_affiliation_strings":["College of Information Science and Engineering, Yanshan University"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Yanshan University","institution_ids":["https://openalex.org/I39333907"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101814507","display_name":"Kai Liu","orcid":"https://orcid.org/0000-0003-2626-8374"},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kai LIU","raw_affiliation_strings":["College of Information Science and Engineering, Yanshan University"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Yanshan University","institution_ids":["https://openalex.org/I39333907"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.481,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":2,"citation_normalized_percentile":{"value":0.510123,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":73,"max":77},"biblio":{"volume":"E99.A","issue":"12","first_page":"2604","last_page":"2608"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9982,"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":0.9982,"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/T11873","display_name":"PAPR reduction in OFDM","score":0.997,"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":0.9851,"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/gaussian-integer","display_name":"Gaussian integer","score":0.85403836},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.7336923}],"concepts":[{"id":"https://openalex.org/C120561534","wikidata":"https://www.wikidata.org/wiki/Q724975","display_name":"Gaussian integer","level":2,"score":0.85403836},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.80518544},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7336923},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.7131242},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.70006543},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.60153866},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.51489675},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.44371858},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4264688},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16694406},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13804749},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12397191},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.046687365},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1587/transfun.e99.a.2604","pdf_url":null,"source":{"id":"https://openalex.org/S166990724","display_name":"IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences","issn_l":"0916-8508","issn":["0916-8508","1745-1337"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":16,"referenced_works":["https://openalex.org/W1806232464","https://openalex.org/W1829788117","https://openalex.org/W1977449481","https://openalex.org/W1987993453","https://openalex.org/W2000329328","https://openalex.org/W2019108382","https://openalex.org/W2033699179","https://openalex.org/W2044842474","https://openalex.org/W2066530892","https://openalex.org/W2071415022","https://openalex.org/W2102010673","https://openalex.org/W2114788954","https://openalex.org/W2116211855","https://openalex.org/W2138706041","https://openalex.org/W2162378625","https://openalex.org/W2243404481"],"related_works":["https://openalex.org/W4288251380","https://openalex.org/W4280608413","https://openalex.org/W3118297191","https://openalex.org/W3096644734","https://openalex.org/W2971248009","https://openalex.org/W2964093280","https://openalex.org/W2516138189","https://openalex.org/W2414755644","https://openalex.org/W2369409824","https://openalex.org/W2077158246"],"abstract_inverted_index":{"In":[0],"this":[1],"letter,":[2],"based":[3],"on":[4],"cyclic":[5],"difference":[6],"sets":[7],"with":[8,24],"parameters":[9],"$(N,\\frac{N-1}{2},\\frac{N-3}{4})$":[10],"and":[11],"complex":[12],"transformations,":[13],"a":[14],"method":[15],"for":[16],"constructing":[17],"degree-4":[18],"perfect":[19],"Gaussian":[20,40],"integer":[21,41],"sequences":[22,42],"(PGISs)":[23],"good":[25],"balance":[26],"property":[27],"of":[28,37],"length":[29],"$N'\\equiv2(\\text{mod}4)$":[30],"are":[31],"presented.":[32],"Furthermore,":[33],"the":[34,38],"elements":[35],"distribution":[36],"proposed":[39],"(GISs)":[43],"is":[44],"derived.":[45]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2558254533","counts_by_year":[{"year":2019,"cited_by_count":2}],"updated_date":"2024-12-22T11:47:58.995193","created_date":"2016-12-08"}