{"id":"https://openalex.org/W3043652422","doi":"https://doi.org/10.1587/transfun.2020eal2052","title":"An Extension Method to Construct &lt;i&gt;M&lt;/i&gt;-Ary Sequences of Period 4&lt;i&gt;N&lt;/i&gt; with Low Autocorrelation","display_name":"An Extension Method to Construct &lt;i&gt;M&lt;/i&gt;-Ary Sequences of Period 4&lt;i&gt;N&lt;/i&gt; with Low Autocorrelation","publication_year":2020,"publication_date":"2020-07-16","ids":{"openalex":"https://openalex.org/W3043652422","doi":"https://doi.org/10.1587/transfun.2020eal2052","mag":"3043652422"},"language":"en","primary_location":{"id":"doi:10.1587/transfun.2020eal2052","is_oa":false,"landing_page_url":"https://doi.org/10.1587/transfun.2020eal2052","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences","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/A5003880410","display_name":"Xiaoping Shi","orcid":"https://orcid.org/0000-0001-6189-4392"},"institutions":[{"id":"https://openalex.org/I167027274","display_name":"Nanjing Forestry University","ror":"https://ror.org/03m96p165","country_code":"CN","type":"education","lineage":["https://openalex.org/I167027274"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaoping SHI","raw_affiliation_strings":["Department of Mathematics, Nanjing Forestry University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing Forestry University","institution_ids":["https://openalex.org/I167027274"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100326651","display_name":"Tongjiang Yan","orcid":"https://orcid.org/0000-0002-9647-503X"},"institutions":[{"id":"https://openalex.org/I204553293","display_name":"China University of Petroleum, Beijing","ror":"https://ror.org/041qf4r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I204553293"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tongjiang YAN","raw_affiliation_strings":["College of Science, China University of Petroleum"],"affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum","institution_ids":["https://openalex.org/I204553293"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033340767","display_name":"Xinmei Huang","orcid":"https://orcid.org/0000-0003-0476-4967"},"institutions":[{"id":"https://openalex.org/I4210166603","display_name":"Jinling Institute of Technology","ror":"https://ror.org/05em1gq62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210166603"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinmei HUANG","raw_affiliation_strings":["Department of Mathematics, Jinling Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jinling Institute of Technology","institution_ids":["https://openalex.org/I4210166603"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112429060","display_name":"Qin Yue","orcid":null},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qin YUE","raw_affiliation_strings":["Department of Mathematics, Nanjing University of Aeronautics and Astronautics"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University of Aeronautics and Astronautics","institution_ids":["https://openalex.org/I9842412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5003880410"],"corresponding_institution_ids":["https://openalex.org/I167027274"],"apc_list":null,"apc_paid":null,"fwci":0.2651,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62620735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"E104.A","issue":"1","first_page":"332","last_page":"335"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9973000288009644,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/autocorrelation","display_name":"Autocorrelation","score":0.9053612947463989},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.7710821628570557},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.6348046660423279},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5886574983596802},{"id":"https://openalex.org/keywords/period","display_name":"Period (music)","score":0.5684735774993896},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5296100378036499},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5294088125228882},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5032250285148621},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32711097598075867},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2656307518482208},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20534288883209229},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18983829021453857}],"concepts":[{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.9053612947463989},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.7710821628570557},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.6348046660423279},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5886574983596802},{"id":"https://openalex.org/C2781291010","wikidata":"https://www.wikidata.org/wiki/Q178580","display_name":"Period (music)","level":2,"score":0.5684735774993896},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5296100378036499},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5294088125228882},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5032250285148621},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32711097598075867},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2656307518482208},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20534288883209229},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18983829021453857},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1587/transfun.2020eal2052","is_oa":false,"landing_page_url":"https://doi.org/10.1587/transfun.2020eal2052","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences","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":9,"referenced_works":["https://openalex.org/W2039218209","https://openalex.org/W2111471727","https://openalex.org/W2122490655","https://openalex.org/W2135733034","https://openalex.org/W2136017419","https://openalex.org/W2147404483","https://openalex.org/W2162378625","https://openalex.org/W2617655976","https://openalex.org/W2943949338"],"related_works":["https://openalex.org/W2988803943","https://openalex.org/W2366107444","https://openalex.org/W3195404686","https://openalex.org/W4388145910","https://openalex.org/W747394405","https://openalex.org/W1976205134","https://openalex.org/W2045537535","https://openalex.org/W1984852966","https://openalex.org/W2072170204","https://openalex.org/W2548984902"],"abstract_inverted_index":{"Pseudorandom":[0],"sequences":[1,42],"with":[2,17],"low":[3,44],"autocorrelation":[4,45],"magnitude":[5],"play":[6],"important":[7],"roles":[8],"in":[9],"various":[10],"environments.":[11],"Let":[12],"N":[13],"be":[14],"a":[15],"prime":[16],"N=Mf+1,":[18],"where":[19],"M":[20],"and":[21],"f":[22],"are":[23],"positive":[24],"integers.":[25],"A":[26],"new":[27,41],"method":[28],"to":[29],"construct":[30],"M-sequences":[31],"of":[32],"period":[33],"4N":[34],"is":[35],"given.":[36],"We":[37],"show":[38],"that":[39],"these":[40],"have":[43],"magnitude.":[46]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
