{"id":"https://openalex.org/W2753277519","doi":"https://doi.org/10.3934/amc.2017037","title":"Integer-valued Alexis sequences with large zero correlation zone","display_name":"Integer-valued Alexis sequences with large zero correlation zone","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2753277519","doi":"https://doi.org/10.3934/amc.2017037","mag":"2753277519"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2017037","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2017037","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=b820bda9-0f1f-4c60-983f-492197ce1ea8","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.aimsciences.org/article/exportPdf?id=b820bda9-0f1f-4c60-983f-492197ce1ea8","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003025877","display_name":"Weiwen Hu","orcid":"https://orcid.org/0000-0003-3027-4574"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Wei-Wen Hu","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003025877"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09840354,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"3","first_page":"445","last_page":"452"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9907000064849854,"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":0.9776999950408936,"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/mathematics","display_name":"Mathematics","score":0.9075143337249756},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.8732233643531799},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.6597214341163635},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6029632687568665},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5521982908248901},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5107710361480713},{"id":"https://openalex.org/keywords/integer-sequence","display_name":"Integer sequence","score":0.4452376663684845},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4077207148075104},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.20841547846794128},{"id":"https://openalex.org/keywords/generating-function","display_name":"Generating function","score":0.04960477352142334}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9075143337249756},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.8732233643531799},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.6597214341163635},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6029632687568665},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5521982908248901},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5107710361480713},{"id":"https://openalex.org/C61994974","wikidata":"https://www.wikidata.org/wiki/Q2297602","display_name":"Integer sequence","level":3,"score":0.4452376663684845},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4077207148075104},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.20841547846794128},{"id":"https://openalex.org/C204911207","wikidata":"https://www.wikidata.org/wiki/Q860609","display_name":"Generating function","level":2,"score":0.04960477352142334},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/amc.2017037","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2017037","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=b820bda9-0f1f-4c60-983f-492197ce1ea8","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/amc.2017037","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2017037","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=b820bda9-0f1f-4c60-983f-492197ce1ea8","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8999999761581421,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2753277519.pdf","grobid_xml":"https://content.openalex.org/works/W2753277519.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W139627204","https://openalex.org/W1980630000","https://openalex.org/W1987410173","https://openalex.org/W2028983336","https://openalex.org/W2115954176","https://openalex.org/W2124119505","https://openalex.org/W2160467705","https://openalex.org/W4292081050"],"related_works":["https://openalex.org/W4298824844","https://openalex.org/W3205355178","https://openalex.org/W147178145","https://openalex.org/W2894446991","https://openalex.org/W3013899494","https://openalex.org/W132694310","https://openalex.org/W1492950380","https://openalex.org/W1270085542","https://openalex.org/W2302567324","https://openalex.org/W2126653925"],"abstract_inverted_index":{"In":[0,49],"this":[1],"paper,":[2],"a":[3,43],"new":[4],"class":[5],"of":[6,55],"integer-valued":[7,23,29,39],"Alexis":[8,35,40],"sequences":[9,25,41,58],"with":[10,33],"length":[11],"N":[12],"=":[13],"2":[14],"(mod":[15],"4)":[16],"is":[17,59],"proposed":[18,38,57],"and":[19],"constructed":[20],"by":[21],"using":[22],"almost-perfect":[24],"obtained":[26],"from":[27],"three":[28],"elementary":[30],"sequences.":[31],"Compared":[32],"binary":[34],"sequences,":[36],"the":[37,51,56],"have":[42],"larger":[44],"zero":[45],"correlation":[46],"zone":[47],"(ZCZ).":[48],"addition,":[50],"maximal":[52],"energy":[53],"efficiency":[54],"investigated.":[60]},"counts_by_year":[],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}
